The holomorphic Cauchy-Szegő kernel for nonholomorphic discrete series representations of 𝑆𝑈(2,1)

1995 ◽  
pp. 75-82 ◽  
Author(s):  
Simon G. Gindikin
Keyword(s):  
Discrete Series ◽  
Szegö Kernel ◽  
Szegő Kernel ◽  
Series Representations ◽  
Szego Kernel ◽  
Discrete Series Representations

scholarly journals On an invariant distance induced by the Szegő Kernel

2021 ◽  
Vol 7 (3) ◽  
Author(s):  
Steven G. Krantz ◽  
Paweł M. Wójcicki
Keyword(s):  
Szegö Kernel ◽  
Basic Properties ◽  
Szegő Kernel ◽  
Invariant Distance ◽  
Szego Kernel ◽  
The Relationship

AbstractIn this paper we introduce a new distance by means of the so-called Szegő kernel and examine some basic properties and its relationship with the so-called Skwarczyński distance. We also examine the relationship between this distance, and the so-called Bergman distance and Szegő distance.

scholarly journals Szegö Kernels and Asymptotic Expansions for Legendre Polynomials

2017 ◽  
Vol 2017 ◽  
pp. 1-13
Author(s):  
Roberto Paoletti
Keyword(s):  
Asymptotic Expansions ◽  
Legendre Polynomials ◽  
Geometric Approach ◽  
Szegö Kernel ◽  
Quadric Hypersurface ◽  
Szegő Kernel ◽  
Szego Kernel

We present a geometric approach to the asymptotics of the Legendre polynomials Pk,n+1, based on the Szegö kernel of the Fermat quadric hypersurface, leading to complete asymptotic expansions holding on expanding subintervals of [-1,1].

scholarly journals Hamiltonian U(2)-actions and Szegö kernel asymptotics

2019 ◽  
Vol 1194 ◽  
pp. 012035 ◽  
Author(s):  
Andrea Galasso ◽  
Roberto Paoletti
Keyword(s):  
Szegö Kernel ◽  
Szegő Kernel ◽  
Szego Kernel
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