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 Sheldon Axler, Paul Bourdon, Wade Ramey - Springer
A book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the text. The authors have taken care to motivate concepts and simplify proofs.
by Russell Brown - University of Kentucky
These notes are intended for a course in harmonic analysis on Rn for graduate students. The background for this course is a course in real analysis which covers measure theory and the basic facts of life related to Lp spaces.
by S.R.S. Varadhan - New York University
Fourier Series of a periodic function. Fejer kernel. Convergence Properties. Convolution and Fourier Series. Heat Equation. Diagonalization of convolution operators. Fourier Transforms on Rd. Multipliers and singular integral operators. etc...
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This volume gives some guidelines for solving problems in the theories of Fourier series and Systems of Differential Equations and eigenvalue problems. It can be used as a supplement to the textbooks in which one can find all the necessary proofs.