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.