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Lecture Notes Classical Fourier Analysis

Lecture Notes Classical Fourier Analysis

Lecture Notes Classical Fourier Analysis

This note explains the following topics: Fourier Transform, Fourier Inversion and Plancherel’s Theorem, The Little wood Principle and Lorentz Spaces, Relationships Between Lorentz Quasinorms and Lp Norms, Banach Space Properties of Lorentz Spaces, Hunt’s Interpolation Theorem, Proofs of Interpolation Theorems, Interpolation and Kernels, Boundedness of Calderon Zygmund Convolution Kernels, Lp Bounds for Calderon Zygmund Convolution Kernels, The Mikhlin Multiplier Theorem, The Mikhlin Multiplier Theorem and Properties of Littlewood Paley Projections, Littlewood Paley Projections and Khinchines Inequality, The Fractional Chain Rule, Introduction to Oscillatory Integrals, Estimating Oscillatory Integrals With Stationary Phase, Oscillatory Integrals in Higher Dimensions.

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s105 Pages
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Lecture Notes Classical Fourier Analysis

Lecture Notes Classical Fourier Analysis

This note explains the following topics: Fourier Transform, Fourier Inversion and Plancherel’s Theorem, The Little wood Principle and Lorentz Spaces, Relationships Between Lorentz Quasinorms and Lp Norms, Banach Space Properties of Lorentz Spaces, Hunt’s Interpolation Theorem, Proofs of Interpolation Theorems, Interpolation and Kernels, Boundedness of Calderon Zygmund Convolution Kernels, Lp Bounds for Calderon Zygmund Convolution Kernels, The Mikhlin Multiplier Theorem, The Mikhlin Multiplier Theorem and Properties of Littlewood Paley Projections, Littlewood Paley Projections and Khinchines Inequality, The Fractional Chain Rule, Introduction to Oscillatory Integrals, Estimating Oscillatory Integrals With Stationary Phase, Oscillatory Integrals in Higher Dimensions.

s105 Pages
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Introduction to semi classical analysis for the Schrodinger operators

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