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.
515
.
2433
QA403
.
5
.
S443
2011
Shapiro, Victor L, 1924
ایران
Fourier series in several variables with applications to partial differential equations