Appell Transformation and Canonical Transforms
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Appell Transformation and Canonical Transforms
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| Creator |
Torre, A.
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| Description |
The interpretation of the optical Appell transformation, as previously elaborated in relation to the free-space paraxial propagation under both a rectangular and a circular cylindrical symmetry, is reviewed. Then, the caloric Appell transformation, well known in the theory of heat equation, is shown to be amenable for a similar interpretation involving the Laplace transform rather than the Fourier transform, when dealing with the 1D heat equation. Accordingly, when considering the radial heat equation, suitably defined Hankel-type transforms come to be involved in the inherent Appell transformation. The analysis is aimed at outlining the link between the Appell transformation and the canonical transforms.
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| Date |
2019-02-14T17:26:31Z
2019-02-14T17:26:31Z 2011 |
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| Type |
Article
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| Identifier |
Appell Transformation and Canonical Transforms / A Torre // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 78 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 35K05; 35K10; 47D06 DOI:10.3842/SIGMA.2011.072 http://dspace.nbuv.gov.ua/handle/123456789/147395 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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