Hermite expansions of some tempered distributions

2017/02/23 by Hiroyuki Chihara, Chihara, Hiroyuki, Takashi Furuya +3
Mathematics · #47B32 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Primary 46F12 #Secondary 33C45 #math.CA #math.FA #msc:33C45 #msc:46F12 #msc:47B32

paper · pdf · doi:10.48550/arxiv.1702.07067

15 pages, no figure, minor change

arxiv created 2017/05/02 · arxiv updated 2017/05/03

Abstract

We compute Hermite expansions of some tempered distributions by using the Bargmann transform. In other words, we calculate the Taylor expansions of the corresponding entire functions. Our method of computations seems to be superior to the direct computations in the shifts of singularities and the higher dimensional cases.

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