R. Kashaev - The Connection Between Integrals and Fourier Series

Explore the intricate relationship between integrals and Fourier series in this illuminating lecture by R. Kashaev. Delve into the mathematical foundations that connect these two fundamental concepts, gaining insights into their interplay and applications. Examine how Fourier series can be used to represent functions as infinite sums of trigonometric functions, and discover how integrals play a crucial role in determining the coefficients of these series. Investigate the convergence properties of Fourier series and their connection to the smoothness of functions. Enhance your understanding of harmonic analysis and its relevance in various fields of mathematics and physics.