Complex powers of the Laplace operator on the circle

Morava, Jack

doi:10.1090/S0002-9939-1985-0784165-X

Complex powers of the Laplace operator on the circle
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by Jack Morava

Proc. Amer. Math. Soc. 94 (1985), 213-216

DOI: https://doi.org/10.1090/S0002-9939-1985-0784165-X

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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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