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Classical Analysis ; Mathematical Analysis

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Description: This note is for students to have mastered the knowledge of complex function theory in which the classical analysis is based. The main theme of this course note is to explain some fundamentals of classical transcendental functions which are used extensively in number theory, physics,engineering and other pure and applied areas.

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An Introduction to Real Analysis ; Intro 1

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Description: These lecture notes are an introduction to undergraduate real analysis. They cover the real numbers and one-variable calculus.

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Fourier Analysis 1

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Description: This note covers the following topics: Finite Fourier Transform, Sunspots, Periodic Time Series, ftmatrix, Other Fourier Transforms and Series.

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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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Analysis an Introduction ; Mathematical Analysis

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Semi Classical Analysis

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Three Introductory Lectures on Fourier Analysis and Wavelets II

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Notes on Fourier Series ; Mathematical Analysis

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Basic Mathematical Tools ; Mathematical Series

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C Star Algebras ; Mathematical Analysis

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Functional Analysis Notes

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Functional Analysis ; Mathematical Analysis Fa I

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Numerical Analysis Notes for Math 575A

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

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Description: 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.

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Acta Mathematica

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