Introduction to the Theory of Fourier's Series and Integrals
by H. S. Carslaw
Publisher: Macmillan and co. 1921
Number of pages: 346
As an introductory explanation of the theory of Fourier's series, this clear, detailed text is outstanding. It covers tests for uniform convergence of series, a thorough treatment of term-by-term integration and the second theorem of mean value, enlarged sets of examples on infinite series and integrals, and a section dealing with the Riemann Lebeague theorem and its consequences.
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by William Elwood Byerly - Ginn and company
From the table of contents: Development in Trigonometric Series; Convergence of Fourier's Series; Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series; Zonal Harmonics; Spherical Harmonics; Cylindrical Harmonics; ...
by Pascal Auscher, Lashi Bandara - ANU eView
This book presents the material covered in graduate lectures delivered in 2010. Moving from the classical periodic setting to the real line, then to, nowadays, sets with minimal structures, the theory has reached a high level of applicability.
by M. Brelot - Tata Institute of Fundamental Research
In the following we shall develop some results of the axiomatic approaches to potential theory principally some convergence theorems; they may be used as fundamental tools and applied to classical case as we shall indicate sometimes.
by J. Delsarte - Tata Institute of Fundamental Research
Subjects treated: transmutations of singular differential operators of the second order in the real case; new results on the theory of mean periodic functions; proof of the two-radius theorem, which is the converse of Gauss's classical theorem.