National Conference on Harmonic Analysis and Applications (NCHAA-2022)
D

Harmonic Analysis is a vast subject with applications in areas as diverse as number theory, signal and image processing, quantum mechanics, partial differential equations, probability theory, and geometry. It was initially devoted to the study of Fourier series and integrals. The generalized bases that we now understand, such Fourier frames, wavelets, and Gabor frames, can be very effective tools for compressing, storing and reconstructing data. The use of integral transforms is crucial in the solutions of initial and boundary value problems in partial differential equations. In particular, Pseudo-differential operators are effective tools to understand partial differential equations with nonconstant coefficients. In the theory of partial differential equations, distributions are often used because it may simpler to prove the existence of distributional solutions than classical ones or because there might not be any suitable classical solutions.