Real and Functional Analysis
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Beschreibung
This book is based on lectures given at "Mekhmat", the Department of Mechanics and Mathematics at Moscow State University, one of the top mathematical departments worldwide, with a rich tradition of teaching functional analysis.
Featuring an advanced course on real and functional analysis, the book presents not only core material traditionally included in university courses of different levels, but also a survey of the most important results of a more subtle nature, which cannot be considered basic but which are useful for applications. Further, it includes several hundred exercises of varying difficulty with tips and references.
This book is based on lectures given at "Mekhmat", the Department of Mechanics and Mathematics at Moscow State University, one of the top mathematical departments worldwide, with a rich tradition of teaching functional analysis.
Featuring an advanced course on real and functional analysis, the book presents not only core material traditionally included in university courses of different levels, but also a survey of the most important results of a more subtle nature, which cannot be considered basic but which are useful for applications. Further, it includes several hundred exercises of varying difficulty with tips and references.
The book is intended for graduate and PhD students studying real and functional analysis as well as mathematicians and physicists whose research is related to functional analysis.
Three levels of exposition in this book oriented towards different categories of readers ranging from graduate students and PhD students to professional researchers Based on lectures given at Mekhmat (Department of Mechanics and Mathematics of Moscow State University), one of the top mathematical departments worldwide, with its rich traditions of teaching functional analysis Extensive additional information is presented in complementary sections and exercises provided with detailed hints or references
Autor*in
Vladimir I. Bogachev
Themen in »Real and Functional Analysis«
meromorphic functions Riemann theorem harmonic functions Fuchsian groups Riemann surfaces moduli of Riemann surfaces algebraic curves Riemann-Roch theorem Weierstrass points Abel theorem theta function Baker-Akhiezer function Kadomtsev-Petviashvili (KP) hierarchy algebro-geometric solutions of KP dispersionless 2D Toda hierarchy
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“The book is almost 600 pages long and very comprehensive, with many interesting examples. Its style and notation make it very readable. ... Also, references are given where you can go deeper and deeper into any of them. ... I believe that the book is clear, dense, concise and very well done. The older I get, the more appreciate ‘a ready, concise, clear explanation’ and I have found the book plenty of them.” (José Mendoza, zbMATH 1466.26002, 2021)
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