Harmonic Analysis: Classical Theory and Fourier Series

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Covers Fourier series, periodic functions, and Fourier transforms.

Explores real functions, covering parity, periodicity, and polynomial functions.

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

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

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

Explores the Fourier transformation on L^2, emphasizing convergence and density in Fourier analysis.

Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.

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

Covers the definition and properties of convolution of two functions and explores radioactive material decay rates.

Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.