Functional Analysis 13. Convolution in L1(R)
00:00 - Convolution in L1(R) and its properties
07:55 - Why convolution is needed
25:59 - Examples of convolutions
33:18 - Convolution in S and in S'
41:36 - Bernstein's formula (approximation of an inconstant function by polynomials)
53:04 - T. Lebesgue on bounded convergence
1:03:31 - The heat equation -- a formula for solving the Cauchy problem
1:12:47 - Fourier transform in L2(R)
Date: 05.05.2023
Lecturer: S. P. Konovalov
Cameraman: M. A. Koltakov
Editor: M. A. Koltakov