Mathematical Methods in Physics: Distributions, Hilbert Space Operators, and Variational Methods

by Philippe Blanchard, Erwin Bruening

Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.

494 pages, Hardcover

First published October 4, 2002

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Theorem 10.5 (Convolution theorem) If T is a tempered distribution and S is a compactly supported distribution
S, then the convolution T*S is a tempered distribution whose Fourier transform is
Fourier_(T*S)=Fourier(T)Fourier(S)