General Background
Identifieur interne : 000E95 ( Istex/Curation ); précédent : 000E94; suivant : 000E96General Background
Auteurs : Robert J. Blattner [États-Unis]Source :
- Mathematical Physics and Applied Mathematics ; 1980.
Abstract
Abstract: These lectures will be devoted to the general subject of harmonic analysis on locally compact and Lie groups. We shall begin with the classical problem of decomposing a function of period 2π on ℝ into harmonics of the fundamental ‘tone’:f(x)~∑ n eℤ a n e inx . Already in this simple setting we face two questions: (1) What sort of regularity properties should f possess for the decomposition to make any sense at all?; (2) In what sense does the series converge? These questions (or their analogues) will persist throughout our investigations.
Url:
DOI: 10.1007/978-94-009-8961-0_1
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