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The remainder in Weyl's law for  -dimensional Heisenberg manifolds
Author(s):
Mahta
Khosravi;
Yiannis
N.
Petridis
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3561-3571.
MSC (2000):
Primary 35P20;
Secondary 58J50, 11N37
Posted:
June 28, 2005
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Additional information
Abstract:
We prove that the error term in Weyl's law for `rational'  -dimensional Heisenberg manifolds is of order  . In the `irrational' case, for generic  -dimensional Heisenberg manifolds with  , we prove that the error term is of the order  . The polynomial growth is optimal.
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Additional Information:
Mahta
Khosravi
Affiliation:
Department of Mathematics and Statistics, McGill University, 805 Sherbrooke St. West, Montreal, Quebec, Canada H3A 2K6
Email:
khosravi@math.mcgill.ca
Yiannis
N.
Petridis
Affiliation:
Department of Mathematics and Computer Science, City University of New York, Lehman College, 250 Bedford Park Boulevard West, Bronx, New York 10468-1589 -- and -- The Graduate Center, Mathematics Ph.D. Program, 365 Fifth Avenue, Room 4208, New York, New York 10016-4309
Email:
petridis@comet.lehman.cuny.edu
DOI:
10.1090/S0002-9939-05-08155-4
PII:
S 0002-9939(05)08155-4
Received by editor(s):
July 9, 2004
Posted:
June 28, 2005
Additional Notes:
The first author would like to acknowledge the financial support of McGill University through the McConnell McGill Major fellowship. The second author was partially supported by NSF grant DMS 0401318, PSC CUNY Research Award, No. 60007-33-34, and a George Shuster Fellowship at Lehman College
Communicated by:
Jozef Dodziuk
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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