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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An infinite-dimensional integral identity for the Segal-Bargmann transform


Authors: Jeremy J. Becnel and Ambar N. Sengupta
Journal: Proc. Amer. Math. Soc. 135 (2007), 2995-3003
MSC (2000): Primary 60H40; Secondary 46G12
Published electronically: May 9, 2007
MathSciNet review: 2317978
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08995-2
PII: S 0002-9939(07)08995-2
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
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.