Advanced Functional Analysis and Integral Transforms
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Home > Mathematics and Science books > Mathematics > Calculus and mathematical analysis > Advanced Functional Analysis and Integral Transforms: Function Representability and Fréchet Spaces
Advanced Functional Analysis and Integral Transforms: Function Representability and Fréchet Spaces

Advanced Functional Analysis and Integral Transforms: Function Representability and Fréchet Spaces


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About the Book

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 Tecnológico de Estudios Superiores de Chalco. The present edition places particular emphasis on function representability and Fréchet spaces, which play an important role in the generalization of representations of infinite-dimensional groups through G-modules.

About the Author :
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.


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Product Details
  • ISBN-13: 9781036475338
  • Publisher: Cambridge Scholars Publishing
  • Publisher Imprint: Cambridge Scholars Publishing
  • Edition: Unabridged edition
  • Language: English
  • Sub Title: Function Representability and Fréchet Spaces
  • ISBN-10: 1036475336
  • Publisher Date: 01 Aug 2026
  • Binding: Hardback
  • Height: 212 mm
  • No of Pages: 141
  • Width: 148 mm


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Advanced Functional Analysis and Integral Transforms: Function Representability and Fréchet Spaces
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