Path distributions on sequence spaces (Q2759743)
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scientific article; zbMATH DE number 1683698
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Path distributions on sequence spaces |
scientific article; zbMATH DE number 1683698 |
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28 October 2002
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Feynman integrals
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Fresnel distributions
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sequence spaces
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rank
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summable distribution
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path integrals
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discrete time
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0.89833736
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0.8720696
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0.87029076
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0.8675889
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0.8661449
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Path distributions on sequence spaces (English)
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The author defines the notion of rank of a summable distribution and shows that finite dimensional Fresnel distributions have rank 2 independent of the space dimension. This allows one to create a new theory of path integrals, the first elements of which are proposed in the paper. The case where time is countable, i.e., paths are sequences, is under consideration. The discrete-time analogue of a Feynman integral is constructed.NEWLINENEWLINEFor the entire collection see [Zbl 0968.00044].
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