Fourier Transform: L^2 Analysis

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Explores limits, convergence, and boundedness of functions and sequences.

Discusses Laplace and Fourier transformations, focusing on their inversion formulas and applications in solving differential equations.

Covers mathematical concepts from number theory to probability and statistics.

Covers Fourier series, periodic functions, and Fourier transforms.

Covers weak derivatives, their properties, and applications in functional analysis.

Explores examples of Fourier series coefficients and applications in various functions.

Covers the concepts of sequences, convergence, and boundedness in mathematics.

Explores the intuition behind transforms of the place and addresses audience questions on integral calculations and function choices.

Explores decreasing and growing functions, bounded sequences, and limit existence.

Explores the continuity of functions in R² and R³, emphasizing accumulation points and limits.