Fourier Series and Systems of Differential Equations and Eigenvalue Problems
by Leif Mejlbro
Publisher: BookBoon 2007
Number of pages: 125
In this volume the author gives some guidelines for solving problems in the theories of Fourier series and Systems of Differential Equations and eigenvalue problems. This text can be used as a supplement to the normal textbooks in which one can find all the necessary proofs.
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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 Christopher Frye, Costas J. Efthimiou - arXiv
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.
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...