Time-Frequency Analysis of Operators

Download or read book Time-Frequency Analysis of Operators written by Elena Cordero and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-09-21 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative text studies pseudodifferential and Fourier integral operators in the framework of time-frequency analysis, providing an elementary approach, along with applications to almost diagonalization of such operators and to the sparsity of their Gabor representations. Moreover, Gabor frames and modulation spaces are employed to study dispersive equations such as the Schrödinger, wave, and heat equations and related Strichartz problems. The first part of the book is addressed to non-experts, presenting the basics of time-frequency analysis: short time Fourier transform, Wigner distribution and other representations, function spaces and frames theory, and it can be read independently as a short text-book on this topic from graduate and under-graduate students, or scholars in other disciplines.