RES.18-015 | Spring 2024 | Non-Credit

Topics in Fourier Analysis

Lecture Notes

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RES.18-015 S24 Lecture 01: Basic Theory of Fourier Series
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RES.18-015 S24 Lecture 02: The Gibbs Phenomenon
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RES.18-015 S24 Lecture 03: Bernoulli Polynomials
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RES.18-015 S24 Lecture 04: Comparing Summability Methods
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RES.18-015 S24 Lecture 05: Some Refinements
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RES.18-015 S24 Lecture 06: The L^1 Fourier Transform
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RES.18-015 S24 Lecture 07: Computations and Applications of L^1 Fourier Transforms
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RES.18-015 S24 Lecture 08: The L^1 Fourier Inversion Formula
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RES.18-015 S24 Lecture 09: The Ornstein-Uhlenbeck Semigroup
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RES.18-015 S24 Lecture 10: Hermite Polynomials
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RES.18-015 S24 Lecture 11: Hermite Functions
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RES.18-015 S24 Lecture 12: More in the Fourier Transform
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RES.18-015 S24 Lecture 13: Schwartz Test Functions
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RES.18-015 S24 Lecture 14: Tempered Distributions
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RES.18-015 S24 Lecture 15: Extending Continuous Operators
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RES.18-015 S24 Lecture 16: Moving to R^N
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RES.18-015 S24 Lecture 17: Convergence of Probability Measures
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RES.18-015 S24 Lecture 18: The Fourier Transform for M_1(R^N)
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RES.18-015 S24 Lecture 19: Infinitely Divisible Probability Measures
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RES.18-015 S24 Lecture 20: Singular Integral Operators
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RES.18-015 S24 Lecture 21: The Hilbert Transform
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RES.18-015 S24 Lecture 22: Interpolation
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RES.18-015 S24 Lecture 23: The Method of Rotations
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RES.18-015 S24 Lecture 24: The Riesz Kernels

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Spring 2024

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Non-Credit

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