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Shapiro, Victor L. 1924-
Fourier series in several variables with applications to partial differential equations / Victor L. Shapiro. - Boca Raton, FL : Chapman & Hall/CRC, 2011. - xiv, 338 p. : ill. ; 25 cm. - Chapman & Hall/CRC applied mathematics and nonlinear science series. .
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.
9781439854273 1439854270
Fourier series.
Functions of several real variables.
Differential equations, Partial.
QA403.5 / .S443 2011
515.2433 / S443
Fourier series in several variables with applications to partial differential equations / Victor L. Shapiro. - Boca Raton, FL : Chapman & Hall/CRC, 2011. - xiv, 338 p. : ill. ; 25 cm. - Chapman & Hall/CRC applied mathematics and nonlinear science series. .
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.
9781439854273 1439854270
Fourier series.
Functions of several real variables.
Differential equations, Partial.
QA403.5 / .S443 2011
515.2433 / S443