|
This article is cited in 10 scientific papers (total in 10 papers)
Legendre uniformization of multi-valued analytic functions
B. Yu. Sternin, V. E. Shatalov
Abstract:
In the first part of this article, the notion of Legendre uniformization of a multi-valued analytic function is introduced. This is a global generalization of the Leray uniformization, and consists in representing the function as an integral of Feynman type naturally associated with a certain Legendre manifold.
In the second part of the article, a transformation of Fourier type is defined for a certain class of uniformized functions, and an inversion formula is proved. Also, some natural commutation relations with differentiations and multiplications by the independent variables are established.
Bibliography: 11 titles.
Received: 18.12.1979
Citation:
B. Yu. Sternin, V. E. Shatalov, “Legendre uniformization of multi-valued analytic functions”, Math. USSR-Sb., 41:2 (1982), 217–234
Linking options:
https://www.mathnet.ru/eng/sm2791https://doi.org/10.1070/SM1982v041n02ABEH002230 https://www.mathnet.ru/eng/sm/v155/i2/p263
|
Statistics & downloads: |
Abstract page: | 401 | Russian version PDF: | 119 | English version PDF: | 17 | References: | 63 |
|