عنوان

Fourier series in several variables with applications to partial differential equations

9781439854273 (hardcover : alk. paper)

IR

E-8040

انگلیسی

IR

Fourier series in several variables with applications to partial differential equations

[Book]

/ Victor L. Shapiro

Boca Raton

: Chapman & Hall/CRC,

, 2011.

xiv, 338 p.

: ill.

; 25 cm.

(Chapman & Hall/CRC applied mathematics and nonlinear science series.)

Print - Electronic

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

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 -- 4.Further Results and Comments -- 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 -- 3.Further Results and Comments -- 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.

Chapman & Hall/CRC applied mathematics and nonlinear science series

Fourier series.

Functions of several real variables.

Differential equations, Partial.

Shapiro, Victor L, 1924

ایران

Fourier series in several variables with applications to partial differential equations

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E-8040

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