An infinite-dimensional integral identity for the Segal-Bargmann transform
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- by Jeremy J. Becnel and Ambar N. Sengupta PDF
- Proc. Amer. Math. Soc. 135 (2007), 2995-3003 Request permission
Abstract:
We prove an infinite-dimensional integral identity equating the integral of a function on a subspace of a linear space to the integral of its Segal-Bargmann transform over the orthogonal complement.References
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Additional Information
- Jeremy J. Becnel
- Affiliation: Department of Mathematics and Statistics, Stephen F. Austin State University, Nacogdoches, Texas 75962-3040
- Email: becneljj@sfasu.edu
- Ambar N. Sengupta
- Affiliation: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803
- Email: sengupta@math.lsu.edu
- Received by editor(s): June 8, 2006
- Published electronically: May 9, 2007
- Additional Notes: Research supported by US NSF grant DMS-0201683 and DMS-0601141
- Communicated by: Jonathan M. Borwein
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 2995-3003
- MSC (2000): Primary 60H40; Secondary 46G12
- DOI: https://doi.org/10.1090/S0002-9939-07-08995-2
- MathSciNet review: 2317978