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Lectures on Gaussian Integral Operators and Classical Groups

Yurii A. Neretin
Publisher: 
European Mathematical Society
Publication Date: 
2011
Number of Pages: 
559
Format: 
Paperback
Series: 
EMS Serier of Lectures in Mathematics
Price: 
78.00
ISBN: 
9783037190807
Category: 
Monograph
We do not plan to review this book.
  • Gaussian integral operators
  • Pseudo-Euclidean geometry and groups $\mathrm{U}(p, q)$
  • Linear symplectic geometry
  • The Segal-Bargmann transform
  • Gaussian operators in Fock spaces
  • Gaussian operators. Details
  • Hilbert spaces of holomorphic functions in matrix balls
  • The Cartier model
  • Gaussian operators over finite fields
  • Classical $p$-adic groups. Introduction
  • Weil representation over a $p$-adic field
  • Addendum
  • Bibliography
  • Notation
  • Index

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