Geodesic
An analogue of Gutzmer's formula for Hermite expansions
S. Thangavelu1
1 Department of Mathematics Indian Institute of Science Bangalore 560 012, India
Studia Mathematica, Tome 185 (2008) no. 3, pp. 279-290 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $ L^2(\mathbb R^n)$ under the Hermite semigroup. We also obtain some new orthogonality relations for complexified Hermite functions.
DOI : 10.4064/sm185-3-5
Keywords: prove analogue gutzmers formula hermite expansions consequence obtain proof characterisation image mathbb under hermite semigroup obtain orthogonality relations complexified hermite functions

S. Thangavelu 1

1 Department of Mathematics Indian Institute of Science Bangalore 560 012, India 
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S. Thangavelu. An analogue of Gutzmer's formula for Hermite expansions. Studia Mathematica, Tome 185 (2008) no. 3, pp. 279-290. doi: 10.4064/sm185-3-5

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