CANONICAL AND BOUNDARY REPRESENTATIONS ON THE LOBACHEVSKY PLANE ASSOCIATED WITH LINEAR BUNDLES
- Authors: Grosheva L.I.1
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Affiliations:
- Tambov State University named after G.R. Derzhavin
- Issue: Vol 22, No 6 (2017)
- Pages: 1218-1228
- Section: Articles
- URL: https://journal-vniispk.ru/2686-9667/article/view/362873
- DOI: https://doi.org/10.20310/1810-0198-2017-22-6-1218-1228
- ID: 362873
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Abstract
We describe canonical representations on the Lobachevsky plane, associated with sections of linear bundles, corresponding boundary representations and Poisson and Fourier transforms.
About the authors
Larisa Igorevna Grosheva
Tambov State University named after G.R. Derzhavin
Email: gligli@mail.ru
Candidate of Physics and Mathematics, Associate Professor of the Functional Analysis Department 33 Internatsionalnaya st., Tambov, Russian Federation, 392000
References
Molchanov V.F., Grosheva L.I. Canonical and boundary representations on the Lobachevsky plane // Acta Applied Mathematics, 2002. V. 73. P. 59-77. Грошева Л.И. Канонические представления в сечениях линейных расслоений на плоскости Лобачевского // Вестник Тамбовского университета. Серия Естественные и технические науки. Тамбов, 2007. Т. 12. Вып. 4. С. 436-438.
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