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Main Title Fourier series in several variables with applications to partial differential equations /
Author Shapiro, Victor L.
Publisher Chapman & Hall/CRC,
Year Published 2011
OCLC Number 665138063
ISBN 9781439854273; 1439854270
Subjects Fourier series. ; Functions of several real variables. ; Differential equations, Partial. ; Fourier-Reihe ; Partielle Differentialgleichung ; Fourier-Reihe.--(DE-588)4155109-6 ; Partielle Differentialgleichung.--(DE-588)4044779-0
Internet Access
Description Access URL
The Sabin W. Colton, Jr., Memorial Fund Home Page
Library Call Number Additional Info Location Last
ELBM  QA403.5.S443 2011 AWBERC Library/Cincinnati,OH 12/26/2012
Collation xiv, 338 pages ; 25 cm.
Includes bibliographical references (pages 331-334) and index.
Contents Notes
Introduction -- Iterated Fejer summability of Fourier series -- Bochner-Riesz summability of Fourier series -- Abel summability of Fourier series -- Gauss-Weierstrass summability of Fourier series -- Further results and comments -- Introduction -- Abel summability of conjugate series -- Spherical convergence of conjugate series -- The C[alpha]-condition -- An application of the C[alpha]-condition -- An application of the Lp-condition -- Further results and comments -- Uniqueness for Abel summability -- Uniqueness for circular convergence -- Uniqueness, number theory, and fractals -- Further results and comments -- Positive definite functions on Sn-1 -- Positive definite functions on Tn -- Positive definite functions on Sn1-1xTn -- Further results and comments -- Reaction-diffusion equations on the N-torus -- Quasilinear ellipticity on the N-torus -- Further results and comments -- Distribution solutions -- Classical solutions -- Further results and comments -- Integral identities -- Estimates for Bessel functions -- Surface spherical harmonics -- Convergence and summability -- Tauberian limit theorems -- Distributions on the N-torus -- Hj (x) and the C[alpha]-condition -- Harmonic functions -- Subharmonic functions.