Advanced Functional Analysis and Integral Transforms
Function Representability and Frechet Spaces
Francisco Bulnes(Editor)
Cambridge Scholars Publishing
Will be published approx. on 1. August 2026
Book
Hardback
141 pages
978-1-0364-7533-8 (ISBN)
Description
Functional analysis is a branch of mathematical analysis concerned with the study of infinite-dimensional vector spaces (primarily function spaces), their topologies, and the mappings between them. These mappings, known as operators, may act on infinite-dimensional spaces over the real or complex numbers, and include both operators and functionals. Functional analysis also studies properties of these mappings, such as duality, boundedness, compactness, continuity, measurability, and spectral theory, as well as their extensions to quantum algebras and C*-algebras.This book is a collection of notes, expository articles, talks, exercises, and lectures on advanced functional analysis and integral transforms, drawn from the seminar sessions held every Friday at Tecnologico de Estudios Superiores de Chalco. The present edition places particular emphasis on function representability and Frechet spaces, which play an important role in the generalization of representations of infinite-dimensional groups through G-modules.
More details
Edition
Unabridged edition
Language
English
Place of publication
Newcastle upon Tyne
United Kingdom
Target group
Professional and scholarly
Edition type
Unabridged edition
Product notice
With dust jacket
Dimensions
Height: 212 mm
Width: 148 mm
ISBN-13
978-1-0364-7533-8 (9781036475338)
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Schweitzer Classification
Person
Francisco Bulnes is a Doctor of Mathematical Sciences from National Autonomous University of Mexico and an internationally recognised researcher in mathematics and mathematical physics. His work focuses on algebraic geometry, infinite-dimensional Lie theory, mathematical physics, motivic cohomology, curvature energy theories, and the mathematical theory of nanotechnology. He is the author of more than 150 research articles published internationally and serves as Director of IINAMEI A. C., Mexico.Bulnes has received numerous international honors, including honorary doctorates and academic distinctions from universities and research organizations worldwide. He is the creator of several mathematical constructions bearing his name, including the "Bulnes transforms", applied in quasi-relaxation phenomena in materials science. His work is widely cited internationally, and he has served as both author and reviewer for zbMATH Open and MathSciNet.