The Homogeneous Chaos over Compact Lie Groups

Leonard Gross
Additional contact information
Leonard Gross: Cornell University, Department of Mathematics

A chapter in Stochastic Processes, 1993, pp 117-123 from Springer

Abstract: Abstract For a compact simply connected Lie group G and related groups, an orthogonal decomposition of L 2 (G, heat kernel measure) is described which reduces, in case G = R d , to the well known decomposition of L 2 (R d , Gauss measure) into orthogonal subspaces determined by products of Hermite polynomials.

Keywords: Heat Kernel; Symmetric Tensor; Real Hilbert Space; Hermite Polynomial; Loop Group (search for similar items in EconPapers)
Date: 1993
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-7909-0_14

Ordering information: This item can be ordered from
http://www.springer.com/9781461579090

DOI: 10.1007/978-1-4615-7909-0_14

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().