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Möbius covariance of iterated Dirac operators

Part of: Generalized function theory

Published online by Cambridge University Press:  09 April 2009

Jaak Peetre  and
Tao Qian
Jaak Peetre
Affiliation:
Institut Mittag-Leffler, Auravägen 17, S-182 62 Djursholm, Sweden, and Department of Mathmatics, University of StockholmBox 6701, S-113 85 Stockholm, Sweden
Tao Qian
Affiliation:
Department of Mathmatics, University of New England, Armidale 2351, Australia.
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Abstract

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Using Fourier transforms, we give a new proof of certain identites for the fundamental solutions of the iterated Dirac operators and Ḏl = (Σ/Σx0 + Ḏ)l. Based on the close relationship between the fundamental solutions and the conformal weights we then give a simple proof of B. Bojarski's results on the conformal covariance of Ḏl. We also prove a new conformal covatiance result of D.

MSC classification

Secondary: 30G35: Functions of hypercomplex variables and generalized variables
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 56 , Issue 3 , June 1994 , pp. 403 - 414
Copyright
Copyright © Australian Mathematical Society 1994

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