Fourier series in several variables with applications to partial differential equations / Victor L. Shapiro.

Format:

Book

Author/Creator:

Shapiro, Victor L. (Victor Lenard), 1924-2013.

Contributor:

Sabin W. Colton, Jr., Memorial Fund.

Series:

Chapman & Hall/CRC applied mathematics and nonlinear science series

Language:

English

Subjects (All):

Fourier series.

Functions of several real variables.

Differential equations, Partial.

Physical Description:

xiv, 338 pages : illustrations ; 25 cm.

Place of Publication:

Boca Raton : Chapman & Hall/CRC, 2011.

Contents:

Machine generated contents note: 1.Introduction

2.Iterated Fejer Summability of Fourier Series

3.Bochner-Riesz Summability of Fourier Series

4.Abel Summability of Fourier Series

5.Gauss-Weierstrass Summability of Fourier Series

6.Further Results and Comments

1.Introduction

2.Abel Summability of Conjugate Series

3.Spherical Convergence of Conjugate Series

4.The Ca-Condition

5.An Application of the Ca-Condition

6.An Application of the LP-Condition

7.Further Results and Comments

1.Uniqueness for Abel Summability

2.Uniqueness for Circular Convergence

3.Uniqueness, Number Theory, and Fractals

4.Further Results and Comments

1.Positive Definite Functions on SN-1

2.Positive Definite Functions on TN

3.Positive Definite Functions on SN1-1X TN

1.Reaction-Diffusion Equations on the N-Torus

2.Quasilinear Ellipticity on the N-Torus

3.Further Results and Comments

1.Distribution Solutions

2.Classical Solutions

1.Integral Identities

2.Estimates for Bessel Functions

3.Surface Spherical Harmonics

1.Convergence and Summability

2.Tauberian Limit Theorems

3.Distributions on the N-Torus

4.Hi (x) and the C'-Condition

1.Harmonic Functions

2.Subharmonic Functions.

Notes:

Includes bibliographical references (pages 331-334) and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Sabin W. Colton, Jr., Memorial Fund.

ISBN:

1439854270

9781439854273

OCLC:

665138063

Publisher Number:

99944154360