Download Harmonic Analysis of Mean Periodic Functions on Symmetric by Valery V. Volchkov,Vitaly V. Volchkov PDF

By Valery V. Volchkov,Vitaly V. Volchkov

the speculation of suggest periodic services is a topic which fits again to works of Littlewood, Delsarte, John and that has passed through a lively improvement in recent times. there was a lot growth in a couple of difficulties referring to neighborhood - pects of spectral research and spectral synthesis on homogeneous areas. The research oftheseproblemsturnsouttobecloselyrelatedtoavarietyofquestionsinharmonic research, advanced research, partial differential equations, critical geometry, appr- imation thought, and different branches of up to date arithmetic. the current ebook describes contemporary advances during this course of study. Symmetric areas and the Heisenberg team are an lively ?eld of research at 2 the instant. the easiest examples of symmetric areas, the classical 2-sphere S 2 and the hyperbolic airplane H , play generic roles in lots of parts in arithmetic. The n Heisenberg groupH is a significant version for nilpotent teams, and effects received n forH could recommend effects that carry extra usually for this crucial category of Lie teams. the aim of this e-book is to boost harmonic research of suggest periodic capabilities at the above spaces.

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