Orbital Integrals on Reductive Lie Groups and Their Algebras by Francisco Bulnes

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 :-
Title: Orbital Integrals on Reductive Lie Groups and Their Algebras by Francisco Bulnes
Publisher: InTech
Year: 2013
Pages: 181
Type: PDF
Language: English
ISBN-10 #:
ISBN-13 #: 978-953-51-1007-1
License: CC BY 3.0
Amazon: Amazon

About Author :-
The author Dr. Francisco Bulnes is a Mexican mathematician and physicist, currently serving as the Director of the International Advanced Research in Mathematics and Engineering (IINAMEI) and the Research Department at the Technological Institute of Higher Studies of Chalco (TESCHA). He earned his Ph.D. in Mathematical Sciences from the National Autonomous University of Mexico (UNAM) and has completed postdoctoral research in Cuba and Russia. Dr. Bulnes has authored over 150 research papers and several books, with his work gaining international recognition, particularly in Eastern Europe, the Middle East, and Asia. His research interests encompass algebraic geometry, mathematical physics, infinite Lie theory, global analysis, and various aspects of theoretical physics, including quantum field theory (QFT), quantum electrodynamics (QED), and topological field theory (TFT). He has received numerous honors, including honorary doctorates and awards from universities and organizations worldwide.

Book Contents :-
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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