Lectures on integral transforms / N.I. Akhiezer ; [translated from the Russian by H.H. McFaden ; translation edited by Ben Silver].

Format:

Book

Author/Creator:

Akhiezer, N. I. (Naum Ilʹich), 1901-

Series:

Translations of Mathematical Monographs, 2472-5137 ; v. 70

Standardized Title:

Lekt︠s︡ii ob integralʹnykh preobrazovanii︠a︡kh. English

Language:

English

Subjects (All):

Integral transforms.

Physical Description:

1 online resource (v, 108 p.)

Place of Publication:

Providence, R.I. : American Mathematical Society, c1988.

System Details:

Mode of access : World Wide Web

Contents:

Averaging operators and the Bochner theorem The Fourier transform in $L^1$ The inversion theorem in $L^1$. The Poisson integral Harmonic functions. The Dirichlet problem for a ball and a half-space The Fourier transform in $L^2$ Hermite functions Spherical functions Positive definite functions The Hankel transform Orthogonal polynomials and the moment problem The class $H^2$. The Paley-Wiener theorem Boundary properties of functions analytic in the upper half-plane and the Hilbert transform The Poisson summation formula and some of its applications Applications of the Laplace and Fourier transforms to the solution of boundary value problems in mathematical physics Fourier transforms of increasing functions. The Wiener-Hopf technique

Notes:

Translation of: Lekt︠s︡ii ob integralʹnykh preobrazovanii︠a︡kh.

Includes bibliographical references.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Akhiezer, N. I. 1901- Lectures on integral transforms /

ISBN:

9781470444846 (online)

Access Restriction:

Restricted for use by site license.