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An Introduction to Wavelets ; Mathematical Analysis

By: Lee A. Barford; Smith David R. Fazzio R. Shane

Description: This note covers the following topics: A Motivation for Wavelets, Wavelets and the Wavelet Transform, Comparision of the Fourier and Wavelet Transforms, Examples.

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Functional Analysis Notes

By: Prof. Sylvia Serfaty

Description: This note covers the following topics: Hahn-Banach Theorems and Introduction to Convex Conjugation, Baire Category Theorem and Its Application, Weak Topology, Bounded (Linear) Operators and Spectral Theory, Compact and Fredholm Operators.

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Lectures on Fourier Series I

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Description: This note covers the following topics: Orthonormal Sets, Variations on the Theme, The Riemann-Lebesgue Lemma, The Dirichlet, Fourier and Fejer Kernels, Fourier Series of Continuous Functions, Fejers Theorem, Regularity, Pointwise Convergence, Termwise Integration, Termwise Differentiation.

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Fourier Analysis 2

By: Yu. Safarov

Description: This note covers the following topics: Series expansions, Definition of Fourier series, Sine and cosine expansions, Convergence of Fourier series, Mean square convergence, Complete orthonormal sets in L2, Fourier transform in L1(R1), Sine and cosine Fourier transforms, Schwartz space S(R1), Inverse Fourier transform, Pointwise inversion of the L1-Fourier transform.

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Semi Classical Analysis

By: Victor Guillemin; Shlomo Sternberg

Description: First seven chapters of this monograph discuss the techniques involved in symbolic calculus have their origins in symplectic geometry. Remaining chapters explains wave and heat trace formulas for globally defined semi classical differential operators on manifolds and equivariant versions of these results involving Lie group actions.

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Nonlinear Functional Analysis

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Fourier Analysis 1

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Functional Analysis ; Functional Mathematical Analysis

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Fourier Analysis Ebook

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Von Neumann Algebras and Local Quantum Theory Notes I

By: Ivan F Wilde

Description: 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.

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Numerical Mathematic Analysis I

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Introduction to Functional Analysis Part Iii, Autumn 2004, Number 2

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Nonlinear Analysis and Differential Equations an Introduction II

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Description: This lecture note covers the following topics: Analysis In Banach Spaces, The Method of Lyapunov Schmidt, Degree Theory, Global Solution Theorems, Existence and Uniqueness Theorems, Linear Ordinary Differential Equations, Periodic Solutions, Stability Theory, Invariant Sets, Hopf Bifurcation and Sturm-Liouville Boundary Value Problems.

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Lecture Notes for Complex Analysis

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Infinite Series Notes

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Analysis an Introduction ; Mathematical Analysis

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Lecture Notes Harmonic Analysis

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Description: This book covers the following topics: Fourier transform on L1, Tempered distribution, Fourier transform on L2, Interpolation of operators, Hardy-Littlewood maximal function, Singular integrals, Littlewood-Paley theory, Fractional integration, Singular multipliers, Bessel functions, Restriction to the sphere and Uniform sobolev inequality.

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Basic Numerical Methods ; Mathematical Analysis

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Functional Analysis ; Mathematical Analysis

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Description: This note covers the following topics related to functional analysis: Normed Spaces, Linear Operators, Dual Spaces, Normed Algebras, Invertibility, Characters and Maximal Ideals.

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Functional Analysis ; Mathematical Analysis Fa I

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Description: This note explains the following topics: Banach Spaces, Linear Operators, Baire Category Theorem, The Hahn-Banach Theorem, Hamel Bases, Projections, The Dual Space, Topological Spaces, Product Spaces.

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