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The analogue of the strong Szegö limit theorem on the 2- and 3-dimensional spheres
Author(s):
Kate
Okikiolu
Journal:
J. Amer. Math. Soc.
9
(1996),
345-372.
MSC (1991):
Primary 58G15;
Secondary 33C55, 47B35
MathSciNet review:
1317231
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Additional information
References:
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- R. Doktorski\u{i}, Generalization of the Szegö limit theorem to the multidimensional case, Sibirsk. Mat. Zh. 25 (5) (1984), 20--29; English transl., Siberian Math. J. 25 (1984), 701--710. MR 86g:47027
- 2.
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- 3.
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- 9.
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- 10.
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- 11.
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- 12.
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 and band asymptotics, J. Func. Anal. 59 (1984), 535--556. MR 86c:58140 - 15.
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- H. Widom, Asymptotic expansions for pseudodifferential operators in bounded domains, Lect. Notes in Math. 1152, Springer Verlag, (1985). MR 87d:35156
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- H. Widom, Szegö's theorem and a complete symbolic calculus for pseudo-differential operators, Seminar on Singularities of Solutions, Princeton Univ. Press, (1979), pp. 261--283. MR 81b:58043
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MSC (1991):
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MSC (1991):
58G15,
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Additional Information:
Kate
Okikiolu
Affiliation:
Department of Mathematics, Princeton University, Princeton, New Jersey 08544
DOI:
10.1090/S0894-0347-96-00188-9
PII:
S 0894-0347(96)00188-9
Received by editor(s):
May 24, 1994
Additional Notes:
Supported by National Science Foundation grant DMS 9304580.
Copyright of article:
Copyright
1996,
American Mathematical Society
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