Path integrals associated with Sturm-Liouville operators (Q2718438)
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scientific article; zbMATH DE number 1606553
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Path integrals associated with Sturm-Liouville operators |
scientific article; zbMATH DE number 1606553 |
Statements
3 October 2001
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path integral
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prodistribution
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Sturm-Liouville problem
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Fresnel distributions
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summable distribution
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Path integrals associated with Sturm-Liouville operators (English)
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The author considers and studies path integrals, more precisely projective systems of Fresnel distributions, associated with Sturm-Liouville boundary value problems. A part of the paper is devoted to a brief exposition of L. Schwartz's notion of summable distribution. Summable distributions naturally occur as the finite-dimensional marginal distributions for path integrals and, in particular, finite-dimensional Fresnel distributions are summable.
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