Orbital Integrals On Reductive Lie Groups And Their Algebras
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Orbital Integrals on Reductive Lie Groups and Their Algebras
Author: Francisco Bulnes
language: en
Publisher: BoD – Books on Demand
Release Date: 2013-03-06
The purpose is to present a complete course on global analysis topics and establish some orbital applications of the integration on topological groups and their algebras to harmonic analysis and induced representations in representation theory.
A Tribute to the Iconoclastic Mathematician Dr Francisco Bulnes
Author: Helen Thrift
language: en
Publisher: Cambridge Scholars Publishing
Release Date: 2023-10-30
This book is a tribute to a universal mathematician, whose contributions to pure and applied mathematics in various fields, such as algebraic geometry, mathematical physics, infinite Lie theory, astrophysics, theoretical physics, nanotechnology and electronics, are relevant for the creation of future technologies and have facilitated a greater understanding of the universe. The book contains various anecdotes of the academic experiences of Dr Francisco Bulnes, and analyses of some of the contributions he made to his fields of study. The book will be of great interest to PhD students, providing them with motivation and inspiration for their own research projects, as well as other researchers.
Recent Studies inPerturbation Theory
The book contains seven chapters written by noted experts and young researchers who present their recent studies of both pure mathematical problems of perturbation theories and application of perturbation methods to the study of the important topic in physics, for example, renormalization group theory and applications to basic models in theoretical physics (Y. Takashi), the quantum gravity and its detection and measurement (F. Bulnes), atom-photon interactions (E. G. Thrapsaniotis), treatment of spectra and radiation characteristics by relativistic perturbation theory (A. V. Glushkov et al), and Green's function theory and some applications (Jing Huang). The pure mathematical issues are related to the problem of generalization of the boundary layer function method for bisingularly perturbed differential equations (K. Alymkulov and D. A. Torsunov) and to the development of new homotopy asymptotic methods and some of their applications (Baojian Hong).