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Mathematics Information Resource Centre, Department of Mathematics, IISc, Bangalore.

An Analogue of Gutzmer's formula for Hermite Expansions

An Analogue of Gutzmer's formula for Hermite Expansions - Bangalore: Department of Mathematics, Indian Institute of Science: 2007 - 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 (R n) under the Hermite semigroup. We also obtain some new orthogonality relations for complexified Hermite

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