scholarly journals Wave front sets of reductive Lie group representations II

2017 ◽  
Vol 370 (8) ◽  
pp. 5931-5962
Author(s):  
Benjamin Harris
Keyword(s):  
Wave Front ◽  
Lie Group ◽  
Group Representations ◽  
Wave Front Sets ◽  
Reductive Lie Group

scholarly journals Analytic factorization of Lie group representations

2012 ◽  
Vol 262 (2) ◽  
pp. 667-681 ◽  
Author(s):  
Heiko Gimperlein ◽  
Bernhard Krötz ◽  
Christoph Lienau
Keyword(s):  
Lie Group ◽  
Group Representations

scholarly journals Mellin Transforms of Whittaker Functions

2002 ◽  
Vol 45 (3) ◽  
pp. 364-377
Author(s):  
Anton Deitmar
Keyword(s):  
Lie Group ◽  
Meromorphic Functions ◽  
Whittaker Functions ◽  
Mellin Transforms ◽  
Reductive Lie Group

AbstractIn this note we show that for an arbitrary reductive Lie group and any admissible irreducible Banach representation the Mellin transforms of Whittaker functions extend to meromorphic functions. We locate the possible poles and show that they always lie along translates of walls of Weyl chambers.

scholarly journals Characterization of Wave Front Sets in Fourier-Lebesgue Spaces and Its Application

2013 ◽  
Vol 56 (1) ◽  
pp. 1-17
Author(s):  
Keiichi Kato ◽  
Masaharu Kobayashi ◽  
Shingo Ito
Keyword(s):  
Wave Front ◽  
Lebesgue Spaces ◽  
Wave Front Sets
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