A Wiener type theorem for (U(p,q),Hₙ)

Linda Saal

Colloquium Mathematicae (2010)

  • Volume: 119, Issue: 2, page 169-180
  • ISSN: 0010-1354

Abstract

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It is well known that (U(p,q),Hₙ) is a generalized Gelfand pair. Applying the associated spectral analysis, we prove a theorem of Wiener Tauberian type for the reduced Heisenberg group, which generalizes a known result for the case p = n, q = 0.

How to cite

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Linda Saal. "A Wiener type theorem for (U(p,q),Hₙ)." Colloquium Mathematicae 119.2 (2010): 169-180. <http://eudml.org/doc/283902>.

@article{LindaSaal2010,
abstract = {It is well known that (U(p,q),Hₙ) is a generalized Gelfand pair. Applying the associated spectral analysis, we prove a theorem of Wiener Tauberian type for the reduced Heisenberg group, which generalizes a known result for the case p = n, q = 0.},
author = {Linda Saal},
journal = {Colloquium Mathematicae},
keywords = {Wiener type theorem},
language = {eng},
number = {2},
pages = {169-180},
title = {A Wiener type theorem for (U(p,q),Hₙ)},
url = {http://eudml.org/doc/283902},
volume = {119},
year = {2010},
}

TY - JOUR
AU - Linda Saal
TI - A Wiener type theorem for (U(p,q),Hₙ)
JO - Colloquium Mathematicae
PY - 2010
VL - 119
IS - 2
SP - 169
EP - 180
AB - It is well known that (U(p,q),Hₙ) is a generalized Gelfand pair. Applying the associated spectral analysis, we prove a theorem of Wiener Tauberian type for the reduced Heisenberg group, which generalizes a known result for the case p = n, q = 0.
LA - eng
KW - Wiener type theorem
UR - http://eudml.org/doc/283902
ER -

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