Harmonic Analysis: Classical Theory and Fourier Series

Related lectures (31)

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Explores the relationship between series and integrals, highlighting convergence criteria and function examples.

Explores the limit of the quotient for sequences and the periodicity of functions.

Covers the joint equidistribution of CM points and explores convergence in multiple variables.

Provides solutions to an Analysis I exam, covering various topics.

Covers the extension and periodicity of Fourier series and the interpretation of coefficients.

Covers functions, including even and odd functions, periodicity, and function operations.

Explores the application of Fourier series and the challenges of using multiple methods to solve problems.

Covers convergence of power series, complex equations, exponential functions, and function properties.

Covers the application of numerical series, comparing An, Bu, and Cn.

Covers the concept of convergence in Analysis III, focusing on normal convergence and convergence in a specific form.