Orbital Integrals on Reductive Lie Groups and Their Algebras by Francisco Bulnes
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About this book :-
This text offers a comprehensive exploration of global analysis, focusing on the integration over topological groups and their algebras. The text delves into the applications of orbital integrals in harmonic analysis and representation theory. It serves as both a detailed textbook and a reference for researchers in mathematics and theoretical physics. The book explores how these integrals are applied in harmonic analysis and representation theory, fields that deal with understanding functions and symmetries. Bulnes presents these concepts in a structured manner, making complex topics more accessible to readers.
Book Detail :-
This book has following details information.
Title:
Orbital Integrals on Reductive Lie Groups and Their Algebras by Francisco Bulnes by NA
Publisher:
InTech
Series:
freeCompBooks
Year:
2013
Pages:
181
Type:
PDF
Language:
English
ISBN-10 #:
ISBN-13 #:
978-953-51-1007-1
Country:
Pakistan
License:
CC BY 3.0
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. Introduction
2. Integrals, Functional and Special Functions on Lie Groups and Lie Algebras
3. Orbital Integrals on Reductive Lie Groups
4. Orbital Integrals on Reductive Lie Algebras
5. Integral Transforms on Lie Groups and Lie Algebras
6. Intertwinning Operators
7. Some Examples of Orbital Integrals into Representation Theory on Field Theory and Integral Geometry
8. Orbital Integrals on Cuspidal Forms
9. Some Applications in the Study of Harmonic Analysis
10. Cohomological Induction and Securing of Generalized G-Modules by G(w)-Orbits to Infinite Dimensional Representations of Lie Groups
A. Integral Formulas on Canonical p-Pairs
B. Regularity on a Lie Algebra
C. Some Elements of the Asymptotic Behavior of the Matrix Coefficients
D. Coexeter Diagrams to some Integral Transforms in Representation Theory
E. Definition of a Real Reductive Group
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