On finite difference Dirac operators and their fundamental solutions

2001 ◽  
Vol 11 (S2) ◽  
pp. 89-106 ◽  
Author(s):  
K. Gürlebeck ◽  
A. Hommel
Keyword(s):  
Finite Difference ◽  
Dirac Operators ◽  
Fundamental Solutions

scholarly journals Möbius covariance of iterated Dirac operators

1994 ◽  
Vol 56 (3) ◽  
pp. 403-414 ◽  
Author(s):  
Jaak Peetre ◽  
Tao Qian
Keyword(s):  
Simple Proof ◽  
Fourier Transforms ◽  
Dirac Operators ◽  
Fundamental Solutions ◽  
Close Relationship ◽  
Conformal Covariance

AbstractUsing 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.

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