Fourier Transforms and Approximations
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€303.80
A01=A M Sedletskii
analytic continuation
approximation by exponential functions
Author_A M Sedletskii
Banach Spaces
Biorthogonal System
Blaschke Product
Category=PBKF
complex variables
Conjugate Functionals
Dx Dy
Entire Function
Eo Rem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exceptional Function
Exponential Type
harmonic analysis
Holder Inequality
Inverse Fourier Transform
Jensen Formula
Laplace Transform
Lebesgue spaces
Levinson's Theorem
nonharmonic series
OO OO
Phragmen Lindelof Theorem
Positive Non-decreasing Function
Positive Zeros
Prove Statem Ent
Riemann Lebesgue Theorem
Riesz Basis
Riesz Kernel
Space LP
spectral theory
Trigonometric Fourier Series
Product details
- ISBN 9789056992347
- Weight: 739g
- Dimensions: 178 x 254mm
- Publication Date: 20 Sep 2000
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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Three classes of Fourier transforms are presented: Fourier (Laplace) transforms on the halfline, Fourier transforms of measures with compact support and Fourier transforms of rapidly decreasing functions (on whole line). The focus is on the behaviour of Fourier transforms in the region of analyticity and the distribution of their zeros. Applications of results are presented: approximation by exponentials on the finite interval; behavior of the nonharmonic Fourier series; Müntz-Szasz's problem of approximation by powers on unit interval; approximation by weighted exponentials on whole line.
