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19 April 2024
 
  » arxiv » math/0701696

 Article overview


On planar Beurling and Fourier transforms
Haakan Hedenmalm ;
Date 24 Jan 2007
Subject Complex Variables; Functional Analysis
AbstractWe study the Beurling and Fourier transforms on subspaces of $L^2({mathbb C})$ defined by an invariance property with respect to the root-of-unity group. This leads to generalizations of these transformations acting unitarily on weighted $L^2$-spaces over $mathbb C$.
Source arXiv, math/0701696
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