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An infinite-dimensional integral identity for the Segal-Bargmann transform
Author(s):
Jeremy
J.
Becnel;
Ambar
N.
Sengupta
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2995-3003.
MSC (2000):
Primary 60H40;
Secondary 46G12
Posted:
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.
References:
-
- 1.
- Jeremy J. Becnel, Equivalence of topologies and Borel fields for countably-Hilbert spaces, Proceeding of the AMS 134 (2006), 581-590. MR 2176027 (2006j:57044)
- 2.
- Lars Hörmander, The analysis of linear partial differential operators I, Grundlehren der mathematischen Wissenschaften, Springer-Verlag, Berlin, Heidelberg, 1983. MR 717035 (85g:35002a)
- 3.
- Hui-Hsiung Kuo, White noise distribution theory, Probability and Stochastic Series, CRC Press, Inc., New York, New York, 1996. MR 1387829 (97m:60056)
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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:
10.1090/S0002-9939-07-08995-2
PII:
S 0002-9939(07)08995-2
Received by editor(s):
June 8, 2006
Posted:
May 9, 2007
Additional Notes:
Research supported by US NSF grant DMS-0201683 and DMS-0601141
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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