bluuebunny/crossref_metadata_2025_split huggingface dataset:
Analytic Fourier-Feynman transforms and convolution
Authors: Huffman Timothy , Park Chull , Skoug David 
Published: June 2012

In this paper we develop an

L
p

{L_p}

Fourier-Feynman theory for a class of functionals on Wiener space of the form

F
(
x
)
=
f
(

∫
0
T

α
1

d
x
,
…
,

∫
0
T

α
n

d
x
)

F(x) = f(\int _0^T {{\alpha _1}dx, \ldots ,\int _0^T {{\alpha _n}dx)} }

. We then define a convolution product for functionals on Wiener space and show that the Fourier-Feynman transform of the convolution product is a product of Fourier-Feynman transforms.
On the embedded primary components of ideals. IV
Authors: Heinzer William , Ratliff L. J. , Shah Kishor 
Published: June 2012

The results in this paper expand the fundamental decomposition theory of ideals pioneered by Emmy Noether. Specifically, let

I
I

be an ideal in a local ring

(
R
,
M
)

(R,M)

that has

M
M

as an embedded prime divisor, and for a prime divisor

P
P

of

I
I

let

I

C
P

(
I
)

I{C_P}(I)

be the set of irreducible components

q
q

of

I
I

that are

P
P

-primary (so there exists a decomposition of

I
I

as an irredundant finite intersection of irreducible ideals that has

q
q

as a factor). Then the main results show: (a)

I

C
M

(
I
)
=
∪
{
I

C
M

(
Q
)
;
Q

is a

MEC
⁡

of

I
}

I{C_M}(I) = \cup \{ I{C_M}(Q);Q\;{\text {is a }}\operatorname {MEC} {\text { of }}I\}

(

Q
Q

is a MEC of

I
I

in case

Q
Q

is maximal in the set of

M
M

-primary components of

I
I

); (b) if

I
=
∩
{

q
i

;
i
=
1
,
…
,
n
}

I = \cap \{ {q_i};i = 1, \ldots ,n\}

is an irredundant irreducible decomposition of

I
I

such that

q
i

{q_i}

is

M
M

-primary if and only if

i
=
1
,
…
,
k
>
n

i = 1, \ldots ,k > n

, then

∩
{

q
i

;
i
=
1
,
…
,
k
}

\cap \{ {q_i};i = 1, \ldots ,k\}

is an irredundant irreducible decomposition of a MEC of

I
I

, and, conversely, if

Q
Q

is a MEC of

I
I

and if

∩
{

Q
j

;
j
=
1
,
…
,
m
}

\cap \{ {Q_j};j = 1, \ldots ,m\}

(resp.,

∩
{

q
i

;
i
=
1
,
…
,
n
}

\cap \{ {q_i};i = 1, \ldots ,n\}

) is an irredundant irreducible decomposition of

Q
Q

(resp.,

I
I

) such that

q
1

,
…
,

q
k

{q_1}, \ldots ,{q_k}

are the

M
M

-primary ideals in

{

q
1

,
…
,

q
n

}

\{ {q_1}, \ldots ,{q_n}\}

, then

m
=
k

m = k

and

(
∩
{

q
i

;
i
=
k
+
1
,
…
,
n
}
)
∩
(
∩
{

Q
j

;
j
=
1
,
…
,
m
}
)

( \cap \{ {q_i};i = k + 1, \ldots ,n\} ) \cap ( \cap \{ {Q_j};j = 1, \ldots ,m\} )

is an irredundant irreducible decomposition of

I
I

; (c)

I

C
M

(
I
)
=
{
q
,
q

is maximal in the set of ideals that contain

I

and do not contain

I
:
M
}

I{C_M}(I) = \{ q,q\;{\text {is maximal in the set of ideals that contain }}I\;{\text {and do not contain }}I:M\}

; (d) if

Q
Q

is a MEC of

I
I

, then

I

C
M

(
Q
)
=
{
q
;
Q
⊆
q
∈
I

C
M

(
I
)
}

I{C_M}(Q) = \{ q;Q \subseteq q \in I{C_M}(I)\}

; (e) if

J
J

is an ideal that lies between

I
I

and an ideal

Q
∈
I

C
M

(
I
)

Q \in I{C_M}(I)

, then

J
=
∩
{
q
;
J
⊆
q
∈
I

C
M

(
I
)
}

J = \cap \{ q;J \subseteq q \in I{C_M}(I)\}

; and, (f) there are no containment relations among the ideals in

∪
{
I

C
P

(
I
)

\cup \{ I{C_P}(I)

;

P
P

is a prime divisor of

I
I

}.
A discrete transform and Triebel-Lizorkin spaces on the bidisc
Authors: Wang Wei 
Published: June 2012

We use a discrete transform to study the Triebel-Lizorkin spaces on bidisc

F
˙

p

α
q

,

f
˙

p

α
q

\dot F_p^{\alpha q},\,\dot f_p^{\alpha q}

and establishes the boundedness of transform

S
ϕ

:

F
˙

p

α
q

→

f
˙

p

α
q

{S_\phi }:\dot F_p^{\alpha q} \to \dot f_p^{\alpha q}

and

T
ψ

:

f
˙

p

α
q

→

F
˙

p

α
q

{T_\psi }:\dot f_p^{\alpha q} \to \dot F_p^{\alpha q}

. We also define the almost diagonal operator and prove its boundedness. With the use of discrete transform and Journé lemma, we get the atomic decomposition of

f
˙

p

α
q

\dot f_p^{\alpha q}

for

0
>
p
⩽
1
,

p
⩽
q
>
∞

0 > p \leqslant 1,\,p \leqslant q > \infty

. The atom supports on an open set, not a rectangle. Duality

(

f
˙

1

α
q

)

∗

=

f
˙

∞

−
α

q
′

,

1
q

+

1

q
′

=
1
,

q
>
1
,

α
∈
R

{(\dot f_1^{\alpha q})^{\ast }} = \dot f_\infty ^{ - \alpha q’},\,\tfrac {1} {q} + \tfrac {1} {{q’}} = 1,\,q > 1,\,\alpha \in R

, is established, too. The case for

F
˙

p

α
q

\dot F_p^{\alpha q}

is similar.
Local subgroups of the Monster and odd code loops
Authors: Richardson Thomas M. 
Published: June 2012

The main result of this work is an explicit construction of

p
p

-local subgroups of the Monster, the largest sporadic simple group. The groups constructed are the normalizers in the Monster of certain subgroups of order

3

2

3^{2}

,

5

2

5^{2}

, and

7

2

7^{2}

and have shapes
\[

3

2
+
5
+
10

⋅
(

M

11

×
G
L
(
2
,
3
)
)
,

5

2
+
2
+
4

⋅

S
3

×
G
L
(
2
,
5
)
)
,

and

7

2
+
1
+
2

⋅
G
L
(
2
,
7
)

{3^{2 + 5 + 10}}\cdot ({M_{11}} \times GL(2,3)),\quad {5^{2 + 2 + 4}}\cdot {S_3} \times GL(2,5)),\quad {\text {and}}{7^{2 + 1 + 2}}\cdot GL(2,7)

\]
. These groups result from a general construction which proceeds in three steps. We start with a self-orthogonal code

C
C

of length

n
n

over the field

F

p

{\mathbb {F}_p}

, where

p
p

is an odd prime. The first step is to define a code loop

L
L

whose structure is based on

C
C

. The second step is to define a group

N
N

of permutations of functions from

F

p
2

\mathbb {F}_p^2

to

L
L

. The final step is to show that

N
N

has a normal subgroup

K
K

of order

p
2

{p^2}

. The result of this construction is the quotient group

N

/

K

N/K

of shape

p

2
+
m
+
2
m

(
S
×
G
L
(
2
,
p
)
)

{p^{2 + m + 2m}}(S \times GL(2,p))

, where

m
+
1
=
dim
⁡
(
C
)

m + 1 = \dim (C)

and

S
S

is the group of permutations of

Aut
(
C
)

\text {Aut}(C)

. To show that the groups we construct are contained in the Monster, we make use of certain lattices

Λ
(
C
)

\Lambda (C)

, defined in terms of the code

C
C

. One step in demonstrating this is to show that the centralizer of an element of order

p
p

in

N

/

K

N/K

is contained in the centralizer of an element of order

p
p

in the Monster. The lattices are useful in this regard since a quotient of the automorphism group of the lattice is a composition factor of the appropriate centralizer in the Monster. This work was inspired by a similar construction using code loops based on binary codes that John Conway used to construct a subgroup of the Monster of shape

2

2
+
11
+
22

⋅
(

M

24

×
G
L
(
2
,
2
)
)

{2^{2 + 11 + 22}}\cdot ({M_{24}} \times GL(2,2))

.
Contiguity relations for generalized hypergeometric functions
Authors: Adolphson Alan , Dwork Bernard 
Published: June 2012

It is well known that the hypergeometric functions
\[

2

F
1

(
α
±
1
,
β
,
γ
;
t
)
,

2

F
1

(
α
,
β
±
1
,
γ
;
t
)
,

2

F
1

(
α
,
β
,
γ
±
1
;
t
)
,

_2{F_1}(\alpha \pm 1,\beta ,\gamma ;t),{\quad _2}{F_1}(\alpha ,\beta \pm 1,\gamma ;t),{\quad _2}{F_1}(\alpha ,\beta ,\gamma \pm 1;t),

\]
which are contiguous to

2

F
1

(
α
,
β
,
γ
;
t
)

_2{F_1}(\alpha ,\beta ,\gamma ;t)

, can be expressed in terms of
\[

2

F
1

(
α
,
β
,
γ
;
t
)

and

2

F
1
′

(
α
,
β
,
γ
;
t
)
.

_2{F_1}(\alpha ,\beta ,\gamma ;t)\quad {\text {and}}{\quad _2}F_1^\prime (\alpha ,\beta ,\gamma ;t).

\]
We explain how to derive analogous formulas for generalized hypergeometric functions. Our main point is that such relations can be deduced from the geometry of the cone associated in a recent paper by B. Dwork and F. Loeser to a generalized hypergeometric series.
Interpretation of Lavrentiev phenomenon by relaxation: the higher order case
Authors: Belloni Marino 
Published: June 2012

We consider integral functionals of the calculus of variations of the form
\[

F
(
u
)
=

∫
0
1

f
(
x
,
u
,

u
′

,
…
,

u

(
n
)

)
d
x

F(u) = \int \limits _0^1 {f(x,u,u’, \ldots ,{u^{(n)}})dx}

\]
defined for

u
∈

W

n
,
∞

(
0
,
1
)

u \in {W^{n,\infty }}(0,1)

, and we show that the relaxed functional

F
F

with respect to the weak

W

loc

n
,
1

(
0
,
1
)

W_{{\text {loc}}}^{n,1}(0,1)

convergence can be written as
\[

F
¯

(
u
)
=

∫
0
1

f
(
x
,
u
,

u
′

,
…
,

u

(
n
)

)
d
x
+
L
(
u
)
,

\overline F (u) = \int \limits _0^1 {f(x,u,u’, \ldots ,{u^{(n)}})dx + L(u),}

\]
where the additional term

L
(
u
)

L(u)

, the Lavrentiev Gap, is explicitly identified in terms of

F
F

.
Singular limit of solutions of 𝑢_{𝑡}=Δ𝑢^{𝑚}-𝐴⋅∇(𝑢^{𝑞}/𝑞) as 𝑞→∞
Authors: Hui Kin Ming 
Published: June 2012

We will show that the solutions of

u
t

=
Δ

u
m

−
A
∇
(

u
q

/

q
)

{u_t} = \Delta {u^m} - A\nabla ({u^q}/q)

in

R
n

×
(
0
,
T
)
,
T
>
0
,
m
>
1
,
u
(
x
,
0
)
=
f
(
x
)
∈

L
1

(

R
n

)
∩

L
∞

(

R
n

)

{R^n} \times (0,T),T > 0,m > 1,u(x,0) = f(x) \in {L^1}({R^n}) \cap {L^\infty }({R^n})

converge weakly in

(

L
∞

(
G
)

)
∗

{({L^\infty }(G))^ * }

for any compact subset

G
G

of

R
n

×
(
0
,
T
)

{R^n} \times (0,T)

as

q
→
∞

q \to \infty

to the solution of the porous medium equation

υ
t

=
Δ

υ
m

{\upsilon _t} = \Delta {\upsilon ^m}

in

R
n

×
(
0
,
T
)

{R^n} \times (0,T)

with

υ
(
x
,
0
)
=
g
(
x
)

\upsilon (x,0) = g(x)

where

g
∈

L
1

(

R
n

)
,
0
⩽
g
⩽
1

g \in {L^1}({R^n}),0 \leqslant g \leqslant 1

, satisfies

g
(
x
)
+

(
g
(
x
)

)

x
1

=
f
(
x
)

in

D

′

(

R
n

)

g(x) + {(g(x))_{{x_1}}} = f(x)\quad {\text {in}}\quad \mathcal {D}’\left ( {{R^n}} \right )

for some function

g
~

(
x
)
∈

L
1

(

R
n

)
,

g
~

(
x
)
⩾
0

\tilde {g}(x) \in {L^1}({R^n}),\quad \tilde {g}(x) \geqslant 0

such that

g
(
x
)
=
f
(
x
)
,

g
~

(
x
)
=
0

g(x) = f(x),\quad \tilde {g}(x) = 0

whenever

g
(
x
)
>
1

g(x) > 1

a.e.

x
∈

R
n

x \in {R^n}

. The convergence is uniform on compact subsets of

R
n

×
(
0
,
T
)

if

f
∈

C
0

(

R
n

)

{R^n} \times (0,T)\quad {\text {if}}\quad f \in {C_0}({R^n})

.
Norm estimates for radially symmetric solutions of semilinear elliptic equations
Authors: Kajikiya Ryuji 
Published: June 2012

The semilinear elliptic equation

Δ
u
+
f
(
u
)
=
0

\Delta u + f(u) = 0

in

R
n

{R^n}

with the condition

lim

|

x

|

→
∞

u
(
x
)
=
0

{\lim _{|x| \to \infty }}u(x) = 0

is studied, where

n
⩾
2

n \geqslant 2

and

f
(
u
)

f(u)

has a superlinear and subcritical growth at

u
=
±
∞

u = \pm \infty

. For example, the functions

f
(
u
)
=

|

u

|

p
−
1

u
−
u

(
1
>
p
>
∞

if

n
=
2
,

1
>
p
>
(
n
+
2
)

/

(
n
−
2
)

if

n
⩾
3
)

f(u) = |u{|^{p - 1}}u - u\;(1 > p > \infty \;{\text {if}}\;n = 2,\;1 > p > (n + 2)/(n - 2)\;{\text {if}}\;n \geqslant 3)

and

f
(
u
)
=
u
log
⁡

|

u

|

f(u) = u\log |u|

are treated. The

L
2

{L^2}

and

H
1

{H^1}

norm estimates

C
1

(
k
+
1

)

n

/

2

⩽

|

|

u

|

|

L
2

⩽

|

|

u

|

|

H
1

⩽

C
2

(
k
+
1

)

n

/

2

{C_1}{(k + 1)^{n/2}} \leqslant ||u|{|_{{L^2}}} \leqslant ||u|{|_{{H^1}}} \leqslant {C_2}{(k + 1)^{n/2}}

are established for any radially symmetric solution

u
u

which has exactly

k
⩾
0

k \geqslant 0

zeros in the interval

0
⩽

|

x

|

>
∞

0 \leqslant |x| > \infty

. Here

C
1

,

C
2

>
0

{C_1},\;{C_2} > 0

are independent of

u
u

and

k
k

.
Characterizations of Bergman spaces and Bloch space in the unit ball of 𝐶ⁿ
Authors: Ouyang Cai Heng , Yang Wei Sheng , Zhao Ru Han 
Published: June 2012

In this paper we prove that, in the unit ball

B
B

of

C

n

{{\mathbf {C}}^n}

, a holomorphic function

f
f

is in the Bergman space

L
a
p

(
B
)
,

0
>
p
>
∞

L_a^p(B),\;0 > p > \infty

, if and only if
\[

∫
B

|

∇
~

f
(
z
)

|

2

|

f
(
z
)

|

p
−
2

(
1
−

|

z

|

2

)

n
+
1

d
λ
(
z
)
>
∞
,

\int _B {|\tilde \nabla } f(z){|^2}|f(z){|^{p - 2}}{(1 - |z{|^2})^{n + 1}}d\lambda (z) > \infty ,

\]
where

∇
~

\tilde \nabla

and

λ
\lambda

denote the invariant gradient and invariant measure on

B
B

, respectively. Further, we give some characterizations of Bloch functions in the unit ball

B
B

, including an exponential decay characterization of Bloch functions. We also give the analogous results for

BMOA
⁡
(
∂
B
)

\operatorname {BMOA} (\partial B)

functions in the unit ball.
Geometrical evolution of developed interfaces
Authors: de Mottoni Piero , Schatzman Michelle 
Published: June 2012

Consider the reaction-diffusion equation in

R

N

×

R

+

:

u
t

−

h
2

Δ
u
+
φ
(
u
)
=
0
;
φ

{\mathbb {R}^N} \times {\mathbb {R}^ + }:{u_t} - {h^2}\Delta u + \varphi (u) = 0;\varphi

is the derivative of a bistable potential with wells of equal depth and

h
h

is a small parameter. If the initial data has an interface, we give an asymptotic expansion of arbitrarily high order and error estimates valid up to time

O
(

h

−
2

)

O({h^{ - 2}})

. At lowest order, the interface evolves normally, with a velocity proportional to the mean curvature. Soit l’équation de réaction-diffusion dans

R

N

×

R

+

,

u
t

−

h
2

Δ
u
+
φ
(
u
)
=
0

{\mathbb {R}^N} \times {\mathbb {R}^ + },\quad {u_t} - {h^2}\Delta u + \varphi (u) = 0

, avec

φ
\varphi

la dérivée d’un potentiel bistable à puits également profonds et

h
h

un petit paramètre. Pour une condition initiale possédant une interface, on donne un développement asymptotique d’ordre arbitrairement élevé, ainsi que des estimations d’erreur valides jusqu’à un temps en

O
(

h

−
2

)

O({h^{ - 2}})

. A l’ordre le plus bas, l’interface évolue normalement, à une vitesse proportionnelle à la courbure moyenne.
Borrowing strength: a likelihood ratio test for related sparse signals
Authors: Wit Ernst C. , Bakewell David J. G. 
Published: June 2012

Abstract
Motivation: Cancer biology is a field where the complexity of the phenomena battles against the availability of data. Often only a few observations per signal source, i.e. genes, are available. Such scenarios are becoming increasingly more relevant as modern sensing technologies generally have no trouble in measuring lots of channels, but where the number of subjects, such as patients or samples, is limited. In statistics, this problem falls under the heading ‘large p, small n’. Moreover, in such situations the use of asymptotic analytical results should generally be mistrusted.
Results: We consider two cancer datasets, with the aim to mine the activity of functional groups of genes. We propose a hierarchical model with two layers in which the individual signals share a common variance component. A likelihood ratio test is defined for the difference between two collections of corresponding signals. The small number of observations requires a careful consideration of the bias of the statistic, which is corrected through an explicit Bartlett correction. The test is validated on Monte Carlo simulations, which show improved detection of differences compared with other methods. In a leukaemia study and a cancerous fibroblast cell line, we find that the method also works better in practice, i.e. it gives a richer picture of the underlying biology.
Availability: The MATLAB code is available from the authors or on http://www.math.rug.nl/stat/Software.
Contact: e.c.wit@rug.nl d.bakewell@liv.ac.uk
First Report of Soybean Rust (Phakopsora pachyrhizi) on Florida Beggarweed (Desmodium tortuosum) in Alabama
Authors: Delaney M. A. , Sikora E. J. , Delaney D. P. , Palm M. E. , Haudenshield J. S. , Hartman G. L. 
Published: June 2012

Soybean rust (SBR), caused by the fungus Phakopsora pachyrhizi, was detected on Florida Beggarweed (Desmodium tortuosum) for the first time in Alabama in November, 2009. The pathogen was not observed in 2010 or 2011, probably because of the exceptionally dry, hot weather in the region. The pathogen was observed on multiple mature leaves of plants, evenly distributed through a field at the Wiregrass Research and Extension Center in Headland, Alabama, located in the southeast region of the state. Florida Beggarweed can serve as an overwintering host for SBR. Symptoms on leaves were consistent with SBR symptoms previously described on soybeans (1). Sori in multiple pustules were observed on the undersurface of the leaves. Urediniospores and paraphyses were observed microscopically and identified as P. pachyrhizi. Symptomatic leaves from 20 plants were analyzed using an Envirologix monoclonal antibody strip test kit at the Auburn University Plant Diagnostic Laboratory. A subsample of 20 plants were positive for the pathogen. Representative symptomatic leaves were sent to the USDA Molecular Diagnostic Laboratory in Beltsville, Maryland, for confirmation. DNA was extracted from sori aseptically removed from leaves using a Qiagen DNeasy Plant Mini Kit, and amplified with primers Ppa1 and NL4. The resulting partial ITS2 and 28S ribosomal RNA sequences were 100% identical to GenBank entry DQ354537. Voucher specimens were deposited in the USDA Agricultural Research Service, National Fungus Collection (BPI). To our knowledge, this is the first report of the disease on Florida Beggarweed in Alabama. References: (1) A. Carcamo Rodriguez et al. Plant Dis. 90:1260, 2006. (2) R. D. Frederick et al. Phytopathology 92:217, 2002.
Drugs that inhibit gastric acid secretion may alter the course of inflammatory bowel disease
Authors: Juillerat P. , Schneeweiss S. , Cook E. F. , Ananthakrishnan A. N. , Mogun H. , Korzenik J. R. 
Published: June 2012

SummaryBackgroundRecent data suggest that acid suppressive medications may alter factors central to the pathophysiology of inflammatory bowel diseases (IBD), whether through shifts in the intestinal microbiome due to acid suppression or effects on immune function.AimTo assess the relationship between the use of proton pump inhibitors (PPIs) or histamine2‐receptor antagonists (H2Ra) and incidence of ‘flares’ (hospitalisation/surgery and change in medication).MethodsWe conducted a new user cohort study including individuals diagnosed with IBD in British Columbia using linked healthcare utilisation databases (available from July 1996 through April 2006). Propensity‐score matched incidence rates during a 6‐month follow‐up period and rate ratios (RR) and 95% CI were calculated.ResultsAmong 16 151 IBD patients, 1307 Crohn's disease (CD) and 996 ulcerative colitis (UC) patients experienced a new use of PPIs, whereas 741 CD and 738 UC used H2Ra. All IBD subgroups were matched separately to an equal number of unexposed IBD patients.
H2Ra use in CD doubled the risk of hospitalisation/surgery (RR = 1.94; 95%CI 1.24–3.10) and numerically less so in UC patients (RR = 1.11) with widely overlapping CIs (0.61–2.03). Proton pump inhibitors use was associated with medication change in UC (RR = 1.39; 95%CI 1.20–1.62), but without meaningfully, increased risk of hospitalisation/surgery for UC or CD patients. Extending follow‐up showed persistence, but attenuation, of all effects.ConclusionsInitiation of PPIs or H2Ra may be associated with short‐term changes in the course of IBD. Although confounding by indication was adjusted using propensity score matching, residual confounding may persist and findings need to be interpreted cautiously.
Sinking, swimming and sailing: experiences of job satisfaction and emotional exhaustion in child welfare employees
Authors: Mandell Deena , Stalker Carol , de Zeeuw Wright Margriet , Frensch Karen , Harvey Cheryl 
Published: June 2012

ABSTRACTThe authors conducted a mixed‐method study after a previous study of child welfare employees revealed a subgroup exhibiting surprisingly high levels of both emotional exhaustion (EE) and job satisfaction (JS). This subgroup included direct service workers, supervisors and managers. As these findings appeared to conflict with previous studies, we re‐reviewed the literature and undertook the current study to account for the co‐existence of EE and JS. We explored and compared this subgroup with two others: workers who found their work satisfying without experiencing high levels of EE and those whose high levels of EE were associated with low JS. Using a survey that included several standardized measures with 226 employees and semi‐structured interviews with a criteria‐based subsample of 25, we explored the role that personality, career expectations, coping styles, stage of life, education, gender and social networks play in outcomes for individual employees. Analyses of quantitative and qualitative data yielded a profile for each subgroup, offering insights into the subjective experiences of workers within individual, social and organizational contexts. These findings have implications for recruitment, training and support of child welfare workers.
Nitrogen cycling and dynamics in a macrophyte‐rich stream as determined by a release
Authors: RIIS T. , DODDS W. K. , KRISTENSEN P. B. , BAISNER A. J. 
Published: June 2012

Summary1. A tracer release study was conducted in a macrophyte‐rich stream, the River Lilleaa in Denmark. The objectives of the study were to compare uptake rates per unit area of by primary producers and consumers in macrophyte and non‐macrophyte habitats, estimate whole‐stream uptake rates of and compare this to other stream types, and identify the pathways and estimate the rate at which enters the food web in macrophyte and non‐macrophyte habitats.2. Macrophyte habitats had four times higher primary uptake rates and an equal uptake rate by primary consumers per unit habitat area as compared to non‐macrophyte habitats. These rates represent the lower limit of potential macrophyte effects because the rates will be highly dependent on macrophyte bed height and mean bed height in the River Lilleaa was low compared to typical bed heights in many lowland streams. Epiphytes accounted for 30% of primary uptake in macrophyte habitats, illustrating a strong indirect effect of macrophytes as habitat for epiphytes. N flux per unit habitat area from primary uptake compartments to primary consumers was four times lower in macrophyte habitats compared to non‐macrophyte habitats, reflecting much greater biomass accrual in macrophyte habitats. Thus, we did not find higher N flux from macrophyte habitats to primary consumers compared to non‐macrophyte habitats.3. Whole‐stream uptake rate was 447 mgN m−2 day−1. On a habitat‐weighted basis, fine benthic organic matter (FBOM) accounted for 72% of the whole‐stream uptake rate, and macrophytes and epiphytes accounted for 19 and 8%, respectively.4. We had expected a priori relatively high whole‐stream N uptake in our study stream compared to other stream types mainly due to generally high biomass and the macrophyte’s role as habitat for autotrophic and heterotrophic organisms, but our results did not confirm this. In comparison with other release study streams, we conclude that nutrient concentration is the overall controlling factor for N uptake rates across streams, mostly as a result of high biomass of primary uptake compartments in streams with high nutrient concentrations in general and not in macrophyte streams in particular.5. Our results indicate that macrophytes play an important role in the longer‐term retention of N and thus a decrease in net downstream transport during the growing season compared to streams without macrophytes, through direct and indirect effects on the stream reach. Direct effects are high uptake efficiency, low turnover rate (partly due to no direct feeding on macrophytes) and high longevity. An indirect effect is increased sedimentation of FBOM in macrophytes compared to non‐macrophyte habitats and streams which possibly also increase denitrification. Increased retention with macrophyte presence would decrease downstream transport during the growing season and thus the N loading on downstream ecosystems.