An analogue of Gutzmer's formula for Hermite expansions
Studia Mathematica (2008)
- Volume: 185, Issue: 3, page 279-290
- ISSN: 0039-3223
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topS. Thangavelu. "An analogue of Gutzmer's formula for Hermite expansions." Studia Mathematica 185.3 (2008): 279-290. <http://eudml.org/doc/285233>.
@article{S2008,
abstract = {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.},
author = {S. Thangavelu},
journal = {Studia Mathematica},
keywords = {Hermite and Laguerre functions; Heisenberg group; symplectic; orthogonal and unitary matrices; entire functions},
language = {eng},
number = {3},
pages = {279-290},
title = {An analogue of Gutzmer's formula for Hermite expansions},
url = {http://eudml.org/doc/285233},
volume = {185},
year = {2008},
}
TY - JOUR
AU - S. Thangavelu
TI - An analogue of Gutzmer's formula for Hermite expansions
JO - Studia Mathematica
PY - 2008
VL - 185
IS - 3
SP - 279
EP - 290
AB - 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.
LA - eng
KW - Hermite and Laguerre functions; Heisenberg group; symplectic; orthogonal and unitary matrices; entire functions
UR - http://eudml.org/doc/285233
ER -
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