JournalsjstVol. 12, No. 2pp. 659–681

Poisson transforms for trees of bounded degree

  • Kai-Uwe Bux

    Universität Bielefeld, Germany

  • Joachim Hilgert

    Universität Paderborn, Germany

  • Tobias Weich

    Universität Paderborn, Germany
Poisson transforms for trees of bounded degree cover
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Abstract

We introduce a parameterized family of Poisson transforms on trees of bounded degree, construct explicit inverses for generic parameters, and characterize moderate growth of Laplace eigenfunctions by Hölder regularity of their boundary values.

Cite this article

Kai-Uwe Bux, Joachim Hilgert, Tobias Weich, Poisson transforms for trees of bounded degree. J. Spectr. Theory 12 (2022), no. 2, pp. 659–681

DOI 10.4171/JST/414