Lectures on Gaussian Integral Operators and Classical Groups

BookselmMonograph

Yurii A. Neretin
University of Vienna, Austria, and Moscow State University, Russia

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	FrontmatterDownload pp. i–iv
	PrefaceDownload pp. v–vii
	ContentsDownload pp. ix–xii
1	Gaussian integral operatorspp. 1–56
2	Pseudo-Euclidean geometry and groups U $(p, q)$ pp. 57–158
3	Linear symplectic geometrypp. 159–225
4	The Segal–Bargmann transformpp. 226–285
5	Gaussian operators in Fock spacespp. 286–300
6	Gaussian operators. Detailspp. 301–321
7	Hilbert spaces of holomorphic functions in matrix ballspp. 322–380
8	The Cartier modelpp. 381–407
9	Gaussian operators over finite fieldspp. 408–426
10	Classical $p$ -adic groups. Introductionpp. 427–475
11	Weil representation over a $p$ -adic fieldpp. 476–505
	Addendumpp. 507–536
	Bibliographypp. 537–549
	Notationpp. 550–553
	Indexpp. 554–560