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Applied Analysis
This note covers the following topics: Metric and Normed Spaces, Continuous Functions, The Contraction Mapping Theorem, Topological Spaces, Banach Spaces, Hilbert Spaces, Fourier Series, Bounded Linear Operators on a Hilbert Space, The Spectrum of Bounded Linear Operators, Linear Differential Operators and Green's Functions, Distributions and the Fourier Transform, Measure Theory and Function Spaces, Differential Calculus and Variational Methods.
Author(s): John Hunter and Bruno Nachtergaele
NA Pages 
Introduction to Functional Analysis by University of Leeds
This PDF book covers the following topics related to Functional Analysis :Basics of Metric Spaces, Basics of Linear Spaces, Orthogonality, Duality of Linear Spaces, Fourier Analysis, Operators, Spectral Theory, Compactness, The spectral theorem for compact normal operators, Banach and Normed Spaces, Measure Theory, Integration, Functional Spaces, Fourier Transform, Advances of Metric Spaces.
Author(s): Vladimir V. Kisil, School of Mathematics, University of Leeds
213 Pages
This notes provides a brief introduction to Real and Functional Analysis. It covers basic Hilbert and Banach space theory as well as basic measure theory including Lebesgue spaces and the Fourier transform.
Author(s): Gerald Teschl
314 Pages
FUNCTIONAL ANALYSIS Douglas N. Arnold References
This note covers the following topics: Vector spaces and their topology, Linear Operators and Functionals, The Open Mapping Theorem, Uniform Boundedness Principle, The Closed Range Theorem, Weak Topologies, Compact Operators and their Spectra, General Spectral Theory.
Author(s): Douglas N. Arnold
36 Pages
Introduction to Functional Analysis Part III, Autumn 2004
This note covers the following topics: Baire category, Non-existence of functions of several variables, The principle of uniform boundedness, Zorn's lemma and Tychonov's theorem, The Hahn-Banach theorem, Banach algebras, Maximal ideals, Analytic functions, The Gelfand representation.
Author(s): T.W Korner
33 Pages
This note covers the following topics: Sets, The Real Numbers, Sequences, Series, Functions, Power Series and The elementary fun.
Author(s): Ivan F Wilde
130 Pages
Von Neumann algebras and local quantum theory Notes
This note explains the following topics:Operator Algebras, Linear functionals on an operator algebra, Kaplansky's Density Theorem, Positive continuous linear functionals, Disjoint representations of a C* -algebra, The Tomita-Takesaki Modular operator, The canonical commutation relations, The algebraic approach to quantum theory, Local quantum theory, The charged Bose field and its sectors.
Author(s): Ivan F Wilde
88 Pages
Functional Analysis(Garrett P)
This note explains the following topics: Schwartz' distributions, Bounded operators on Hilbert spaces, Unbounded operators on Hilbert spaces, Fourier transforms, tempered distributions.
Author(s): Paul Garrett
NA Pages
This note covers the following topics: Metric and Normed Spaces, Continuous Functions, The Contraction Mapping Theorem, Topological Spaces, Banach Spaces, Hilbert Spaces, Fourier Series, Bounded Linear Operators on a Hilbert Space, The Spectrum of Bounded Linear Operators, Linear Differential Operators and Green's Functions, Distributions and the Fourier Transform, Measure Theory and Function Spaces, Differential Calculus and Variational Methods.
Author(s): John Hunter and Bruno Nachtergaele
NA Pages
This manuscript provides a brief introduction to Real and (linear and nonlinear) Functional Analysis. Topics covered includes: Banach and Hilbert spaces, Compact operators, The main theorems about Banach spaces, Bounded linear operators, Lebesgue integration, The Lebesgue spaces Lp, The Fourier transform, Interpolation, The Leray-Schauder mapping degree, The stationary Navier-Stokes equation and Monotone operators.
Author(s): Teschl G
NA Pages
Introduction to Microlocal Analysis
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Author(s): NA
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Holomorphic Methods in Analysis and Mathematical Physics (ps)
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Partial Differential Equations of Mathematical Physics
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Author(s): NA
NA Pages
Functional Analysis Douglas Arnold
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Author(s): NA
NA PagesAdvertisement
