Main Title |
Fourier series in several variables with applications to partial differential equations / |
Author |
Shapiro, Victor L.
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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
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Internet Access |
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Holdings |
Library |
Call Number |
Additional Info |
Location |
Last Modified |
Checkout Status |
ELBM |
QA403.5.S443 2011 |
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AWBERC Library/Cincinnati,OH |
12/26/2012 |
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Collation |
xiv, 338 pages ; 25 cm. |
Notes |
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. |