| 书目名称 | Representation Theory and Noncommutative Harmonic Analysis II |
| 副标题 | Homogeneous Spaces, |
| 编辑 | A. A. Kirillov |
| 视频video | |
| 丛书名称 | Encyclopaedia of Mathematical Sciences |
| 图书封面 |  |
| 描述 | At first only elementary functions were studied in mathematical analysis. Then new functions were introduced to evaluate integrals. They were named special functions: integral sine, logarithms, the exponential function, the prob ability integral and so on. Elliptic integrals proved to be the most important. They are connected with rectification of arcs of certain curves. The remarkable idea of Abel to replace these integrals by the corresponding inverse functions led to the creation of the theory of elliptic functions. They are doubly periodic functions of a complex variable. This periodicity has led to consideration of the lattice of periods and to linear-fractional trans formations of the complex plane which leave this lattice invariant. The group of these transformations is isomorphic to the quotient group of the group 8L(2, Z) of unimodular matrices of the second order with integral elements with respect to its center. Investigation of properties of elliptic functions led to the study of automorphic functions and forms. This gave the first connec tion between the theory of groups and this important class of functions. The further development of the theory of automorphic func |
| 出版日期 | Book 1995 |
| 关键词 | Fourier Transformation; Fourier transform; Integraltransformation; Orthogonale Polynome; Poissonsche Tra |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-09756-4 |
| isbn_softcover | 978-3-642-08126-2 |
| isbn_ebook | 978-3-662-09756-4Series ISSN 0938-0396 |
| issn_series | 0938-0396 |
| copyright | Springer-Verlag Berlin Heidelberg 1995 |
发表于 2025-3-21 17:45:55
