Title: Approximation by multivariate singular integrals
Description: Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integral operators are examined thoroughly. This book studies the rate of convergence of these operators to the unit operator as well as the related simultaneous approximation--
Subjects: Approximation theory, Singular integrals, Multivariate analysis, Mathematical analysis, Integrals, Differential equations, partial, Distribution (Probability theory), Integral Transforms, Mathematics