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JOURNALS // Russian Universities Reports. Mathematics // Archive

Tambov University Reports. Series: Natural and Technical Sciences, 2017 Volume 22, Issue 6, Pages 1218–1228 (Mi vtamu122)

MATHEMATICS

Canonical and boundary representations on the Lobachevsky plane associated with linear bundles

L. I. Grosheva

Tambov State University named after G.R. Derzhavin

Abstract: We describe canonical representations on the Lobachevsky plane, associated with sections of linear bundles, corresponding boundary representations and Poisson and Fourier transforms.

Keywords: Lobachevsky plane, canonical representations, distributions, boundary representations, Poisson and Fourier transforms.

UDC: 517.98

Received: 04.09.2017

Language: English

DOI: 10.20310/1810-0198-2017-22-6-1218-1228



© Steklov Math. Inst. of RAS, 2024