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It is "scientific folklore" coming from physical heuristics that solutions to the heat equation on a Riemannian manifold can be represented by a path integral.
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This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 "Space – Time – Mat
Asymptotic Approximations of Integrals
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This classic text remains the most up-to-date book to deal with asymptotic approximations of integrals. All results discussed are proved rigorously, and many of
Mathematical Theory of Feynman Path Integrals
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The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter o
Mathematical Feynman Path Integrals and Their Applications
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Although more than 60 years have passed since their first appearance, Feynman path integrals have yet to lose their fascination and luster. They are not only a