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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Complex powers of the Laplace operator on the circle


Author: Jack Morava
Journal: Proc. Amer. Math. Soc. 94 (1985), 213-216
MSC: Primary 58G05; Secondary 11M35
DOI: https://doi.org/10.1090/S0002-9939-1985-0784165-X
MathSciNet review: 784165
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Abstract: The classical zeta function of Lerch has an analytic continuation as a distribution on the circle which seems to be very different from its usual analytic continuation: for example, the Bernoulli polynomials come out upside down.


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DOI: https://doi.org/10.1090/S0002-9939-1985-0784165-X
Article copyright: © Copyright 1985 American Mathematical Society