bluuebunny/crossref_metadata_2025_split huggingface dataset:
Remarques sur l’enlacement en théorie des points critiques pour des fonctionnelles continues
Authors: Frigon M. 
Published: December 2010

RésuméDans cet article, à partir de la notion d’enlacement introduite dans [7] entre des paires d’ensembles (B, A) et (Q, P), nous établissons l’existence d’un point critique d’une fonctionnelle continue sur un espace métrique lorsqu’une de ces paires enlace l’autre. Des renseignements sur la localisation du point critique sont aussi obtenus. Ces résultats conduisent à une généralisation du théor`eme des trois points critiques. Finalement, des applications à des probl`emes aux limites pour une équation quasi-linéaire elliptique sont présentées.
Quantum Ergodicity of Boundary Values of Eigenfunctions: A Control Theory Approach
Authors: Burq N. 
Published: December 2010

AbstractConsider M, a bounded domain in ℝd, which is a Riemanian manifold with piecewise smooth boundary and suppose that the billiard associated to the geodesic flow reflecting on the boundary according to the laws of geometric optics is ergodic. We prove that the boundary value of the eigen-functions of the Laplace operator with reasonable boundary conditions are asymptotically equidistributed in the boundary, extending previous results by Gérard and Leichtnam as well as Hassell and Zelditch, obtained under the additional assumption of the convexity of M.
Estimates of Henstock-Kurzweil Poisson Integrals
Authors: Talvila Erik 
Published: December 2010

AbstractIf f is a real-valued function on [−π, π] that is Henstock-Kurzweil integrable, let ur(θ) be its Poisson integral. It is shown that ∥ur∥p = o(1/(1 − r)) as r → 1 and this estimate is sharp for 1 ≤ p ≤ ∞. If μ is a finite Borel measure and ur(θ) is its Poisson integral then for each 1 ≤ p ≤ ∞ the estimate ∥ur∥p = O((1−r)1/p−1) as r → 1 is sharp. The Alexiewicz norm estimates ∥ur∥ ≤ ∥f ∥ (0 ≤ r < 1) and ∥ur − f∥ → 0 (r → 1) hold. These estimates lead to two uniqueness theorems for the Dirichlet problem in the unit disc with Henstock-Kurzweil integrable boundary data. There are similar growth estimates when u is in the harmonic Hardy space associated with the Alexiewicz norm and when f is of bounded variation.
Indecomposable Higher Chow Cycles
Authors: Kimura Kenichiro 
Published: December 2010

AbstractLet X be a projective smooth variety over a field k. In the first part we show that an indecomposable element in CH2(X, 1) can be lifted to an indecomposable element in CH3(XK, 2) where K is the function field of 1 variable over k. We also show that if X is the self-product of an elliptic curve over ℚ then the ℚ-vector space of indecomposable cycles is infinite dimensional.In the second part we give a new definition of the group of indecomposable cycles of CH3(X, 2) and give an example of non-torsion cycle in this group.
Monotonicity Properties of the Hurwitz Zeta Function
Authors: Alzer Horst 
Published: December 2010

AbstractLetbe the Hurwitz zeta function and letwhereα, β> 1 anda,b> 0 are real numbers. We prove: (i) The functionQis decreasing on (0, ∞) iffαa−βb≥ max(a−b, 0). (ii)Qis increasing on (0, ∞) iffαa−βb≤ min(a−b, 0). An application of part (i) reveals that for allx> 0 the functions⟼ [(s− 1)ζ(s,x)]1/(s−1)is decreasing on (1, ∞). This settles a conjecture of Bastien and Rogalski.
Extension of Holomorphic Functions From One Side of a Hypersurface
Authors: Baracco Luca 
Published: December 2010

AbstractWe give a new proof of former results by G. Zampieri and the author on extension of holomorphic functions from one side Ω of a real hypersurface M of ℂn in the presence of an analytic disc tangent to M, attached to Ω but not to M. Our method enables us to weaken the regularity assumptions both for the hypersurface and the disc.
Exceptional Sets in Hartogs Domains
Authors: Kot Piotr 
Published: December 2010

AbstractAssume that Ω is a Hartogs domain in ℂ1+n, defined as Ω = ﹛(z, w) ∈ ℂ1+n : |z| < μ(w), w ∈ H﹜, where H is an open set in ℂn and μ is a continuous function with positive values in H such that –ln μ is a strongly plurisubharmonic function in H. Let Ωw = Ω ∩ (ℂ × ﹛w﹜). For a given set E contained in H of the type Gδ we construct a holomorphic function f ∈ (Ω) such that
Toeplitz Algebras and Extensions of Irrational Rotation Algebras
Authors: Park Efton 
Published: December 2010

AbstractFor a given irrational number θ, we define Toeplitz operators with symbols in the irrational rotation algebra , and we show that the C*-algebra generated by these Toeplitz operators is an extension of by the algebra of compact operators. We then use these extensions to explicitly exhibit generators of the group KK1(, ℂ). We also prove an index theorem for that generalizes the standard index theorem for Toeplitz operators on the circle.
On Finite-to-One Maps
Authors: Tuncali H. Murat , Valov Vesko 
Published: December 2010

AbstractLet f : X → Y be a σ-perfect k-dimensional surjective map of metrizable spaces such that dim Y ≤ m. It is shown that for every positive integer p with p ≤ m + k + 1 there exists a dense Gδ-subset (k,m, p) of C(X, k+p) with the source limitation topology such that each fiber of f△g, g ∈ (k, m, p), contains at most max ﹛k + m – p + 2, 1﹜ points. This result provides a proof the following conjectures of S. Bogatyi, V. Fedorchuk and J. van Mill. Let f : X → Y be a k-dimensional map between compact metric spaces with dimY ≤ m. Then: (1) there exists a map h: X → m+2k such that f△h: X → Y × m+2k is 2-to-one provided k ≥ 1; (2) there exists a map h: X → m+k+1 such that f△h: X →Y × m+k+1 is (k + 1)-to-one.
Holomorphic Frames for Weakly Converging Holomorphic Vector Bundles
Authors: Daskalopoulos Georgios D. , Wentworth Richard A. 
Published: December 2010

AbstractUsing a modification of Webster's proof of the Newlander–Nirenberg theorem, it is shown that, for a weakly convergent sequence of integrable unitary connections on a complex vector bundle over a complex manifold, there is a subsequence of local holomorphic frames that converges strongly in an appropriate Holder class.
A Dynamical Proof of Pisot's Theorem
Authors: Kwapisz Jaroslaw 
Published: December 2010

AbstractWe give a geometric proof of classical results that characterize Pisot numbers as algebraic λ > 1 for which there is x ≠ 0 with λnx → 0 (mod 1) and identify such x as members of ℤ[λ–1]· ℤ[λ]* where ℤ[λ]* is the dual module of ℤ[λ].
The Geometry of d2y1/dt2 = f (y, ẏ, t) and d2y2/dt2 = g(y, ẏ, t), and Euclidean Spaces
Authors: Atkins Richard 
Published: December 2010

AbstractThis paper investigates the relationship between a system of differential equations and the underlying geometry associated with it. The geometry of a surface determines shortest paths, or geodesics connecting nearby points, which are defined as the solutions to a pair of second-order differential equations: the Euler–Lagrange equations of the metric. We ask when the converse holds, that is, when solutions to a system of differential equations reveals an underlying geometry. Specifically, when may the solutions to a given pair of second order ordinary differential equations d2y1/dt2 = f (y, ẏ, t) and d2y2/dt2 = g(y, ẏ, t) be reparameterized by t → T(y, t) so as to give locally the geodesics of a Euclidean space? Our approach is based upon Cartan's method of equivalence. In the second part of the paper, the equivalence problem is solved for a generic pair of second order ordinary differential equations of the above form revealing the existence of 24 invariant functions.
On Inductive Limit Type Actions of the Euclidean Motion Group on Stable UHF Algebras
Authors: Dean Andrew J. 
Published: December 2010

AbstractAn invariant is presented which classifies, up to equivariant isomorphism, C*-dynamical systems arising as limits from inductive systems of elementary C*-algebras on which the Euclidean motion group acts by way of unitary representations that decompose into finite direct sums of irreducibles.
Endomorphisms That Are the Sum of a Unit and a Root of a Fixed Polynomial
Authors: Nicholson W. K. , Zhou Y. 
Published: December 2010

AbstractIf C = C(R) denotes the center of a ring R and g(x) is a polynomial in C[x], Camillo and Simón called a ring g(x)-clean if every element is the sum of a unit and a root of g(x). If V is a vector space of countable dimension over a division ring D, they showed that end DV is g(x)-clean provided that g(x) has two roots in C(D). If g(x) = x – x2 this shows that end DV is clean, a result of Nicholson and Varadarajan. In this paper we remove the countable condition, and in fact prove that end RM is g(x)-clean for any semisimple module M over an arbitrary ring R provided that g(x) ∈ (x – a)(x – b)C[x] where a, b ∈ C and both b and b – a are units in R.
Orbits and Stabilizers for Solvable Linear Groups
Authors: Riedl Jeffrey M. 
Published: December 2010

AbstractWe extend a result of Noritzsch, which describes the orbit sizes in the action of a Frobenius group G on a finite vector space V under certain conditions, to a more general class of finite solvable groups G. This result has applications in computing irreducible character degrees of finite groups. Another application, proved here, is a result concerning the structure of certain groups with few complex irreducible character degrees.
Affine Completeness of Generalised Dihedral Groups
Authors: Ecker Jürgen 
Published: December 2010

AbstractIn this paper we study affine completeness of generalised dihedral groups. We give a formula for the number of unary compatible functions on these groups, and we characterise for everyk∈ N thek-affine complete generalised dihedral groups. We find that the direct product of a 1-affine complete group with itself need not be 1-affine complete. Finally, we give an example of a nonabelian solvable affine complete group. For nilpotent groups we find a strong necessary condition for 2-affine completeness.
Inner E0-Semigroups on Infinite Factors
Authors: Floricel Remus 
Published: December 2010

AbstractThis paper is concerned with the structure of inner E0-semigroups. We show that any inner E0-semigroup acting on an infinite factor M is completely determined by a continuous tensor product system of Hilbert spaces in M and that the product system associated with an inner E0-semigroup is a complete cocycle conjugacy invariant.
Intermediate Model Structures for Simplicial Presheaves
Authors: Jardine J. F. 
Published: December 2010

AbstractThis note shows that any set of cofibrations containing the standard set of generating projective cofibrations determines a cofibrantly generated proper closed model structure on the category of simplicial presheaves on a small Grothendieck site, for which the weak equivalences are the local weak equivalences in the usual sense.
Hausdorff–Young Inequalities for Group Extensions
Authors: Führ Hartmut 
Published: December 2010

AbstractThis paper studies Hausdorff–Young inequalities for certain group extensions, by use of Mackey's theory. We consider the case in which the dual action of the quotient group is free almost everywhere. This result applies in particular to yield a Hausdorff–Young inequality for nonunimodular groups.
On Valuations, Places and Graded Rings Associated to ∗-Orderings
Authors: Klep Igor 
Published: December 2010

AbstractWe study natural ∗-valuations, ∗-places and graded ∗-rings associated with ∗-ordered rings. We prove that the natural ∗-valuation is always quasi-Ore and is even quasi-commutative (i.e., the corresponding graded ∗-ring is commutative), provided the ring contains an imaginary unit. Furthermore, it is proved that the graded ∗-ring is isomorphic to a twisted semigroup algebra. Our results are applied to answer a question of Cimprič regarding ∗-orderability of quantum groups.
φ-Dialgebras and a Class of Matrix “Coquecigrues”
Authors: Ongay Fausto 
Published: December 2010

AbstractStarting with the Leibniz algebra defined by a φ-dialgebra, we construct examples of “coquecigrues,” in the sense of Loday, that is to say, manifolds whose tangent structure at a distinguished point coincides with that of the Leibniz algebra. We discuss some possible implications and generalizations of this construction.
On Quotients of Non-Archimedean Köthe Spaces
Authors: Śliwa Wiesław 
Published: December 2010

AbstractWe show that there exists a non-archimedean Fréchet-Montel spaceWwith a basis and with a continuous norm such that any non-archimedean Fréchet space of countable type is isomorphic to a quotient ofW. We also prove that any non-archimedean nuclear Fréchet space is isomorphic to a quotient of some non-archimedean nuclear Fréchet space with a basis and with a continuous norm.
Every Real Algebraic Integer Is a Difference of Two Mahler Measures
Authors: Drungilas Paulius , Dubickas Artūras 
Published: December 2010

AbstractWe prove that every real algebraic integer α is expressible by a difference of two Mahler measures of integer polynomials. Moreover, these polynomials can be chosen in such a way that they both have the same degree as that of α, say d, one of these two polynomials is irreducible and another has an irreducible factor of degree d, so that α = M(P)−bM(Q) with irreducible polynomials P,Q ∈ ℤ[X] of degree d and a positive integer b. Finally, if d ⩽ 3, then one can take b = 1.
Determination of Hauptmoduls and Construction of Abelian Extensions of Quadratic Number Fields
Authors: Chiang-Hsieh Hung-Jen , Yang Yifan 
Published: December 2010

AbstractWe obtain Hauptmoduls of genus zero congruence subgroups of the type (p) := Γ0(p) + wp, where p is a prime and wp is the Atkin–Lehner involution. We then use the Hauptmoduls, along with modular functions on Γ1(p) to construct families of cyclic extensions of quadratic number fields. Further examples of cyclic extension of bi-quadratic and tri-quadratic number fields are also given.
On the Image of Certain Extension Maps. I
Authors: Mejía Israel Moreno 
Published: December 2010

AbstractLet X be a smooth complex projective curve of genus g ≥ 1. Let ξ ∈ J1(X) be a line bundle on X of degree 1. LetW = Ext1(ξn, ξ–1) be the space of extensions of ξn by ξ–1. There is a rational map Dξ : G(n,W) → SUX(n + 1), where G(n,W) is the Grassmannian variety of n-linear subspaces of W and SUX(n + 1) is the moduli space of rank n + 1 semi-stable vector bundles on X with trivial determinant. We prove that if n = 2, then Dξ is everywhere defined and is injective.
MKZ Type Operators Providing a Better Estimation on [1/2, 1)
Authors: Özarslan M. Ali , Duman Oktay 
Published: December 2010

AbstractIn the present paper, we introduce a modification of the Meyer-König and Zeller (MKZ) operators which preserve the test functions f0(x) = 1 and f2(x) = x2, and we show that this modification provides a better estimation than the classical MKZ operators on the interval [½, 1) with respect to the modulus of continuity and the Lipschitz class functionals. Furthermore, we present the r-th order generalization of our operators and study their approximation properties.
On Willmore's Inequality for Submanifolds
Authors: Zhou Jiazu 
Published: December 2010

AbstractLet M be an m dimensional submanifold in the Euclidean space Rn and H be the mean curvature ofM. We obtain some low geometric estimates of the total squaremean curvature ∫M H2dσ. The low bounds are geometric invariants involving the volume of M, the total scalar curvature of M, the Euler characteristic and the circumscribed ball of M.
On Axiomatizability of Non-Commutative Lp-Spaces
Authors: Henson C. Ward , Raynaud Yves , Rizzo Andrew 
Published: December 2010

AbstractIt is shown that Schatten p-classes of operators between Hilbert spaces of different (infinite) dimensions have ultrapowers which are (completely) isometric to non-commutative Lp-spaces. On the other hand, these Schatten classes are not themselves isomorphic to non-commutative Lp spaces. As a consequence, the class of non-commutative Lp-spaces is not axiomatizable in the first-order language developed by Henson and Iovino for normed space structures, neither in the signature of Banach spaces, nor in that of operator spaces. Other examples of the same phenomenon are presented that belong to the class of corners of non-commutative Lp-spaces. For p = 1 this last class, which is the same as the class of preduals of ternary rings of operators, is itself axiomatizable in the signature of operator spaces.
p-Radial Exceptional Sets and Conformal Mappings
Authors: Kot Piotr 
Published: December 2010

AbstractFor p > 0 and for a given set E of type Gδ in the boundary of the unit disc ∂ we construct a holomorphic function f ∈ such thatIn particular if a set E has a measure equal to zero, then a function f is constructed as integrable with power p on the unit disc .
Ramification des groupes abéliens d’automorphismes des corps
Authors: Laubie François 
Published: December 2010

RésuméSoit q une puissance d’un nombre premier p. Dans cette note on établit la généralisation suivante d’un théorème de Wintenberger : tout sous-groupe abélien fermé du groupe des -automorphismes continus du corps des séries formelles muni de sa filtration de ramification est un groupe filtré isomorphe au groupe de Galois d’une extension abélienne d’un corps local à corps résiduel , filtré par les groupes de ramification de l’extension en numérotation inférieure.
Nanotechnology‐Enabled Closed Loop Insulin Delivery Device: In Vitro and In Vivo Evaluation of Glucose‐Regulated Insulin Release for Diabetes Control
Authors: Gordijo Claudia R. , Koulajian Khajag , Shuhendler Adam J. , Bonifacio Leonardo D. , Huang Hui Yu , Chiang Simon , Ozin Geoffrey A. , Giacca Adria , Wu Xiao Yu 
Published: December 2010

AbstractRecently, a new multifunctional, bio‐inorganic nanocomposite membrane with the ability to self‐regulate the release of insulin in response to blood glucose (BG) levels was reported. Herein, the application of this material as part of a small, implantable, closed‐loop insulin delivery device designed to continuously monitor BG concentrations and regulate insulin release is proposed. The insulin delivery device consists of a nanocomposite glucose‐responsive plug covalently bound to an insulin reservoir made of surface‐modified silicone. The plug is prepared with crosslinked bovine serum albumin (BSA) and enzymes (glucose oxidase (GOx) and catalase (CAT)), pH‐responsive hydrogel nanoparticles, and multifunctional MnO2 nanoparticles. The plug functions both as a glucose sensor and controlled delivery unit to release higher rates of insulin from the reservoir in response to hyperglycemic BG levels and basal insulin rates at normal BG concentration. The surfaces of the device are modified by silanization followed by PEGylation to ensure its safety and biocompatibility and the stability of encased insulin. Our results show that insulin release can be modulated in vitro in response to glucose concentrations. In vivo experiments show that the glycemia of diabetic rats can be controlled with implantation of the prototype device. The glucose‐responsiveness of the device is also demonstrated by rapid drop in BG level after challenging diabetic rats with bolus injection of glucose solution. In addition, it is demonstrated that surface PEGylation of the device is necessary for reducing the immune response of the host to the implanted foreign object and maintaining insulin stability and bioactivity. With this molecular architecture and the bio‐inorganic nanocomposite plug, the device has the ability to maintain normal BG levels in diabetic rats.
Regio‐ and Stereoselective Biohydroxylations with a Recombinant Escherichia coli Expressing P450pyr Monooxygenase of Sphingomonas Sp. HXN‐200
Authors: Zhang Wei , Tang Weng Lin , Wang Zunsheng , Li Zhi 
Published: December 2010

AbstractA recombinant Escherichia coli expressing P450pyr monooxygenase of Sphingomonas sp. HXN‐200 was developed as a useful biocatalyst for regio‐ and stereoselective hydroxylations, with no side reaction and easy cell growth. The resting E. coli cells showed an activity of 4.1 U/g cdw and 9.9 U/g cdw for the hydroxylation of N‐benzylpyrrolidin‐2‐one 1 and N‐benzyloxycarbonylpyrrolidine 3, respectively, being as active as the wide‐type strain. Biohydroxylation of N‐benzylpyrrolidin‐2‐one 1 with the resting cells gave (S)‐N‐benzyl‐4‐hydroxypyrrolidin‐2‐one 2 in >99% ee and 10.8 mM, a 2.6 times increase of product concentration in comparison with the wild‐type strain. Biohydroxylation of N‐tert‐butoxycarbonylpiperidin‐2‐one 5, N‐benzylpiperidine 7 and N‐tert‐butoxycarbonylazetidine 9 with the E. coli cells afforded the corresponding 4‐hydroxypiperidin‐2‐one 6, 4‐hydroxypiperidine 8, and 3‐hydroxyazetidine 10 in 14 mM, 17 mM, and 21 mM, respectively. Moreover, hydroxylation of (−)‐β‐pinene 11 with the recombinant E. coli cells showed excellent regio‐ and stereoselectivity and gave (1R)‐trans‐pinocarveol 12 in 82% yield and 4.1 mM, which is over 200 times higher than that obtained with the best biocatalytic system known thus far. The recombinant strain was also able to hydroxylate other types of substrates with unique selectivity: biohydroxylation of norbornane 13 gave exo‐norbornaeol 14, with exo/endo selectivity of 95%; tetralin 15 and 6‐methoxytetralin 17 were hydroxylated at the non‐activated 2‐position, for the first time, with regioselectivities of 83–84%.
Highly Active and Enantioselective Rhodium‐Catalyzed Asymmetric 1,4‐Addition of Arylboronic Acid to α,β‐ Unsaturated Ketone by using Electron‐Poor MeO‐F12‐BIPHEP
Authors: Korenaga Toshinobu , Maenishi Ryota , Hayashi Keigo , Sakai Takashi 
Published: December 2010

AbstractThe asymmetric 1,4‐addition of phenylboronic acid to cyclohexenone were performed by using a low amount of rhodium/(R)‐(6,6′‐dimethoxybiphenyl‐2,2′‐diyl)bis[bis(3,4,5‐trifluorophenyl)phosphine] (MeO‐F12‐BIPHEP) catalyst. Because the catalyst shows thermal resistance at 100 °C, up to 0.00025 mol% Rh catalyst showed good catalytic activity. The highest turnover frequency (TOF) and turnover number (TON) observed were 53,000 h−1 and 320,000, respectively. The enantioselectivities of the products were maintained at a high level of 98% ee in these reactions. The Eyring plots gave the following kinetic parameters (ΔΔH≠=−4.0±0.1 kcal mol−1 and ΔΔS≠=−1.3±0.3 cal mol−1 K−1), indicating that the entropy contribution is relatively small. Both the result and consideration of the transition state in the insertion step at the B3LYP/6‐31G(d) [LANL2DZ for rhodium] levels indicated that the less σ‐donating electron‐poor (R)‐MeO‐F12‐BIPHEP could be creating a rigid chiral environment around the rhodium catalyst even at high temperature.
Non‐Magnetic and Magnetic Supported Copper(I) Chelating Adsorbents as Efficient Heterogeneous Catalysts and Copper Scavengers for Click Chemistry
Authors: Megia‐Fernandez Alicia , Ortega‐Muñoz Mariano , Lopez‐Jaramillo Javier , Hernandez‐Mateo Fernando , Santoyo‐Gonzalez Francisco 
Published: December 2010

AbstractNovel supported chelating adsorbents bearing diverse multidentate nitrogenated ligands with strong copper(I) affinities are easily prepared in non‐magnetic and magnetic variants using silica and silica‐coated magnetite nanoparticles as suitable supports and the aza‐Michael‐type addition of vinyl sulfones as the ligation tool. These adsorbents are versatile materials with applications in the copper‐catalyzed alkyne‐azide cycloaddition (CuAAC) click chemistry where their complexation abilities enable them to act either as heterogeneous click catalysts when used in their complexed form or as copper(I) scavengers when used in their uncomplexed form. In the first instance, they proved to be robust and efficient heterogeneous catalysts to promote click reactions using extremely low doses and showing negligible copper leaching, particularly in the case of the silica‐based non‐magnetic adsorbents, allowing a simple operational protocol for their rapid and easy removal by filtration or magnetic decantation and showing good recyclability properties. In their uncomplexed form, the non‐magnetic chelating adsorbents are very efficient copper scavengers that are able to remove any traces of metal contamination and that can be applied in tandem with any heterogeneous supported copper(I) catalysts or as stand‐alone copper removing system in any click protocol allowing the isolation of metal‐free clicked compounds.