New PDF release: Pseudo-Differential Operators and Symmetries: Background

By Michael V. Ruzhansky,Ville Turunen

This monograph is dedicated to the advance of the idea of pseudo-di?erential n operators on areas with symmetries. Such areas are the Euclidean house R ,the n torus T , compact Lie teams and compact homogeneous areas. The e-book comprises a number of components. one in every of our goals has been not just to offer new effects on pseudo-di?erential operators but additionally to teach parallels among di?erent methods to pseudo-di?erential operators on di?erent areas. additionally, we attempted to offer the cloth in a self-contained method to make it obtainable for readers coming near near the fabric for the ?rst time. despite the fact that, di?erent areas on which we improve the speculation of pseudo-di?er- tial operators require di?erent backgrounds. therefore, whereas operators at the - clidean house in bankruptcy 2 depend upon the well known Euclidean Fourier research, pseudo-di?erentialoperatorsonthetorusandmoregeneralLiegroupsinChapters four and 10 require convinced backgrounds in discrete research and within the illustration idea of compact Lie teams, which we for that reason found in bankruptcy three and partly III,respectively. Moreover,anyonewhowishestoworkwithpseudo-di?erential- erators on Lie teams will surely bene?t from a great take hold of of sure features of illustration idea. this is why we current the most components of this conception partially III, hence putting off the need for the reader to refer to different resources for many of the time. equally, the backgrounds for the speculation of pseudo-di?erential three operators on S and SU(2) built in bankruptcy 12 are available in bankruptcy eleven awarded in a self-contained means compatible for instant use.

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Pseudo-Differential Operators and Symmetries: Background Analysis and Advanced Topics: 2 by Michael V. Ruzhansky,Ville Turunen

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