An analogue of Gutzmer's formula for Hermite expansions

• Autorzy: S. Thangavelu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 42A38: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
• 43A90: Spherical functions
• 42B99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 185
• Numer: 3
• Strony: 279-290

Daty

wydano

2008

Twórcy

autor

S. Thangavelu

• Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India

Identyfikatory

DOI

10.4064/sm185-3-5