TY  - BOOK
AU  - Anastassiou,George A.
ED  - SpringerLink (Online service)
TI  - Approximation by Multivariate Singular Integrals
T2  - SpringerBriefs in Mathematics,
SN  - 9781461405894
AV  - QA307 
U1  - 515.72 23
PY  - 2011///
CY  - New York, NY
PB  - Springer New York
KW  - Mathematics
KW  - Integral Transforms
KW  - Differential equations, partial
KW  - Distribution (Probability theory)
KW  - Integral Transforms, Operational Calculus
KW  - Partial Differential Equations
KW  - Probability Theory and Stochastic Processes
N2  - 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. The last chapter, which includes many examples, presents a related Korovkin type approximation theorem for functions of two variables.   Relevant background information and motivation is included in this exposition, and as a result this book can be used as supplementary text for several advanced courses. The results presented apply to many areas of pure and applied mathematics, such a mathematical analysis, probability, statistics and partial differential equations.  This book is appropriate for researchers and selected seminars at the graduate level
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4614-0589-4
ER  -