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Estimates for kernels of intertwining operators on SL(n, R)

Part of: Harmonic analysis in several variables Lie groups

Published online by Cambridge University Press:  09 April 2009

Michael Cowling  and
Stefano Meda
Michael Cowling
Affiliation:
School of Mathematics, University of New South Wales, UNSW Sydney, NSW 2052, Australia, e-mail: M.Cowling@unsw.edu.au
Stefano Meda
Affiliation:
Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, via Bicocca degli Arcimboldi 8, 20126 Milano, Italy, e-mail: stefano.meda@unimib.it
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Abstract

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In this paper we study the kernels and the Lp–Lq boundedness properties of some intertwining operators associated to representations of SL(n, R).

Keywords

semisimple Lie groupsintertwining operatorsmultiparameter potential operators.

MSC classification

Secondary: 22E30: Analysis on real and complex Lie groups 42B20: Singular and oscillatory integrals (Calderón-Zygmund, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 81 , Issue 1 , August 2006 , pp. 105 - 120
Copyright
Copyright © Australian Mathematical Society 2006

References

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