Opening book details…
Can I read Plancherel Formula for Berezin Deformation of L2 on Riemannian Symmetric Space on EtoBox?
Plancherel Formula for Berezin Deformation of L2 on Riemannian Symmetric Space by Yurii A. Neretin is a Mathematics article available to read on EtoBox.
What is Plancherel Formula for Berezin Deformation of L2 on Riemannian Symmetric Space about?
Consider natural representations of the pseudounitary group U( p, q) in the space of holomorphic functions on the Cartan domain (Hermitian symmetric space) U( p, q)Â(U( p)\_U(q)). Berezin representations of O( p, q) are the restrictions of such representations to the subgroup O( p, q). We obtain the explicit Plancherel formula for the Berezin representations. The support of the Plancherel measure is a union of many series of representations. The density of the Plancherel measure on each piece of the support is an explicit product of 1-functions. We also show that the Berezin representations give an interpolation between L 2 on noncompact symmetric space O( p, q)ÂO( p)\_O(q) and L 2 on compact symmetric space O( p+q)Â O( p)\_O(q). 2002 Elsevier Science (USA) 8 This case is the most complicated and all difficulties existing for other series exist also for O( p, q). For all other series our proof is more simple.
Who reads Plancherel Formula for Berezin Deformation of L2 on Riemannian Symmetric Space?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Yurii A. Neretin
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-1236)
- Published
- 2002
- Language
- EN
- Field
- Mathematics (Physical Sciences)