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Related lectures (30)

Page 2 of 3

Riemann Zeta Function

Covers the definition and properties of the Riemann Zeta function, including convergence and singularities.

Fourier Series: Understanding Periodicity and Coefficients

Explores t-periodic functions in Fourier series, discussing intervals, propositions, and variable changes for coefficient calculation and series convergence.

Differential Equations: Solutions and Periodicity

Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.

Integration: Limited Development

Covers the limited development of integration and methods for calculating the limit development of functions and antiderivatives.

Generalized Integrals and Convergence Criteria

Covers generalized integrals, convergence criteria, series convergence, and harmonic series in analysis.

Banach Spaces: Reflexivity and Convergence

Explores Banach spaces, emphasizing reflexivity and sequence convergence in a rigorous mathematical framework.

Pointwise Convergence of Fourier Series

Explores the pointwise convergence of Fourier series and its applications in optimal transport.

Weak Convergence in Hilbert Spaces

Explores weak convergence in Hilbert spaces, discussing definitions, implications, and examples.

Convergence of Sequences: Exercise 7 Series 5

Covers the convergence of sequences, focusing on Exercise 7 from Series 5.

Optimal Transport: Stability and Counterexamples

Covers stability in optimal transport and provides examples of discontinuous optimal solutions.