The heat kernel and Hardy’s theorem on symmetric spaces of noncompact type

2002 ◽  
Vol 112 (2) ◽  
pp. 321-330 ◽  
Author(s):  
E. K. Narayanan ◽  
S. K. Ray
Keyword(s):  
Heat Kernel ◽  
Symmetric Spaces ◽  
Noncompact Type ◽  
Hardy’S Theorem

On an Upper Bound for the Heat Kernel on SU*(2n)/ Sp(n)

1994 ◽  
Vol 37 (3) ◽  
pp. 408-418 ◽  
Author(s):  
P. Sawyer
Keyword(s):  
Symmetric Space ◽  
Heat Kernel ◽  
Upper Bound ◽  
Symmetric Spaces ◽  
Legendre Function ◽  
Noncompact Type ◽  
Image Position

AbstractJean-Philippe Anker made an interesting conjecture in [2] about the growth of the heat kernel on symmetric spaces of noncompact type. For any symmetric space of noncompact type, we can writewhere ϕ0 is the Legendre function and q, "the dimension at infinity", is chosen such that limt—>∞Vt(x) = 1 for all x. Anker's conjecture can be stated as follows: there exists a constant C > 0 such thatwhere is the set of positive indivisible roots. The behaviour of the function ϕ0 is well known (see [1]).The main goal of this paper is to establish the conjecture for the spaces SU*(2n)/ Sp(n).

scholarly journals Beurling's Theorem and Characterization of Heat Kernel for Riemannian Symmetric Spaces of Noncompact Type

2007 ◽  
Vol 50 (2) ◽  
pp. 291-312 ◽  
Author(s):  
Rudra P. Sarkar ◽  
Jyoti Sengupta
Keyword(s):  
Symmetric Space ◽  
Heat Kernel ◽  
Symmetric Spaces ◽  
Noncompact Type ◽  
Beurling’S Theorem ◽  
Riemannian Symmetric Spaces

AbstractWe prove Beurling's theorem for rank 1 Riemannian symmetric spaces and relate its consequences with the characterization of the heat kernel of the symmetric space.

Scattering theory for symmetric spaces of noncompact type

1993 ◽  
Vol 72 (1) ◽  
pp. 1-29 ◽  
Author(s):  
Ralph S. Phillips ◽  
Mehrdad M. Shahshahani
Keyword(s):  
Scattering Theory ◽  
Symmetric Spaces ◽  
Noncompact Type
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