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Hyperquasipolynomials for the Theta-Function

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Functional Analysis and Its Applications Aims and scope

Abstract

Let g be a linear combination with quasipolynomial coefficients of shifts of the Jacobi theta function and its derivatives in the argument. All entire functions f: ℂ → ℂ satisfying f(x+y)g(x−y) = α1(x)β1(y)+· · ·+αr(x)βr(y) for some r ∈ ℕ and αj, βj: ℂ → ℂ are described.

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Authors and Affiliations

  1. Khabarovsk Division, Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Khabarovsk, Russia

    A. A. Illarionov & M. A. Romanov

Authors
  1. A. A. Illarionov
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  2. M. A. Romanov
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Correspondence to A. A. Illarionov.

Additional information

Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 52, No. 3, pp. 84–87, 2018 Original Russian Text Copyright © by A. A. Illarionov and M. A. Romanov

This work was supported by RFBR grant 17-01-00225.

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Illarionov, A.A., Romanov, M.A. Hyperquasipolynomials for the Theta-Function. Funct Anal Its Appl 52, 228–231 (2018). https://doi.org/10.1007/s10688-018-0232-5

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  • DOI: https://doi.org/10.1007/s10688-018-0232-5

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