An analogue of Gutzmer's formula for Hermite expansions
S. Thangavelu
Studia Mathematica, Tome 187 (2008), p. 279-290 / Harvested from The Polish Digital Mathematics Library
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We prove an analogue of Gutzmer's formula for Hermite expansions. As a consequence we obtain a new proof of a characterisation of the image of L²(ℝⁿ) under the Hermite semigroup. We also obtain some new orthogonality relations for complexified Hermite functions.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:285233 
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S. Thangavelu. An analogue of Gutzmer's formula for Hermite expansions. Studia Mathematica, Tome 187 (2008) pp. 279-290. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm185-3-5/