抄録
In this paper we establish the spectral decomposition of the Berezin transforms on the space Mat(2, ℂ) of complex 2 × 2 matrices related to the two-sided action of U(2) × U(2). The eigenspaces are described explicitly by means of the matrix elements of a certain representation of GL(2, ℂ) and each eigenvalue is expressed as a finite sum involving the Meijer G-functions evaluated at 1 and the Hahn polynomials.
| 本文言語 | 英語 |
|---|---|
| ページ（範囲） | 152-179 |
| ページ数 | 28 |
| ジャーナル | Integral Equations and Operator Theory |
| 巻 | 32 |
| 号 | 2 |
| DOI | |
| 出版ステータス | 出版済み - 1月 1 1998 |
| 外部発表 | はい |
!!!All Science Journal Classification (ASJC) codes
- 分析
- 代数と数論