Harmonic analysis on the Iwahori-Hecke algebra
DOI10.1007/S11537-014-1365-9zbMath1323.11028OpenAlexW1981010095MaRDI QIDQ466823
Publication date: 31 October 2014
Published in: Japanese Journal of Mathematics. 3rd Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11537-014-1365-9
tracegenerating functionintertwining operatorstrace formsIwahori-Hecke algebraBernstein formsBernstein presentationmacdonald's spherical forms
Arithmetic theory of algebraic function fields (11R58) Curves over finite and local fields (11G20) Coverings of curves, fundamental group (14H30) Analysis on (p)-adic Lie groups (22E35) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Langlands-Weil conjectures, nonabelian class field theory (11S37) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39) Quaternion and other division algebras: arithmetic, zeta functions (11R52)
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- Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
- Affine Hecke Algebras and Their Graded Version
- ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRAS
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