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Gaussian bounds for derivatives of central Gaussian semigroups on compact groups
Author(s):
A.
Bendikov;
L.
Saloff-Coste
Journal:
Trans. Amer. Math. Soc.
354
(2002),
1279-1298.
MSC (2000):
Primary 60B15, 43A77, 60J45, 60J60
Posted:
November 19, 2001
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Abstract:
For symmetric central Gaussian semigroups on compact connected groups, assuming the existence of a continuous density, we show that this density admits space derivatives of all orders in certain directions. Under some additional assumptions, we prove that these derivatives satisfy certain Gaussian bounds.
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Additional Information:
A.
Bendikov
Affiliation:
Department of Mathematics, Malott Hall, Cornell University, Ithaca, New York 14853-4201
Email:
bendikov@math.cornell.edu
L.
Saloff-Coste
Affiliation:
Department of Mathematics, Malott Hall, Cornell University, Ithaca, New York 14853-4201
Email:
lsc@math.cornell.edu
DOI:
10.1090/S0002-9947-01-02945-2
PII:
S 0002-9947(01)02945-2
Received by editor(s):
May 21, 2001
Received by editor(s) in revised form:
September 4, 2001
Posted:
November 19, 2001
Additional Notes:
Research partially supported by NSF Grant DMS-9802855
Copyright of article:
Copyright
2001,
American Mathematical Society
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