Contributions to Fourier Analysis
by A. Zygmund, et al.
Publisher: Princeton University Press 1950
Number of pages: 207
In the theory of convergence and summability, whether for ordinary Fourier series or other expansions, emphasis is placed on the phenomenon of localization whenever such occurs, and in the present paper a certain aspect of this phenomenon will be studied for the problem of best approximation as well.
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by H. S. Carslaw - Macmillan and co.
An introductory explanation of the theory of Fourier's series. It covers tests for uniform convergence of series, a thorough treatment of term-by-term integration and second theorem of mean value, enlarged sets of examples on infinite series, etc.
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Textbook for an introductory course on linear partial differential equations and boundary value problems. It also provides introduction to basic Fourier analysis and functional analysis. Written for third-year undergraduates in mathematical sciences.
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The authors prepared this booklet in order to make several useful topics from the theory of special functions, in particular the spherical harmonics and Legendre polynomials for any dimension, available to physics or mathematics undergraduates.
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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.