Théorème de Ney-Spitzer sur le dual de $\textrm {SU}(2)$
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- by Philippe Biane PDF
- Trans. Amer. Math. Soc. 345 (1994), 179-194 Request permission
Abstract:
Let $\phi$ be a central, noneven, positive type function on ${\text {SU}}(2)$ with $\phi (e) < 1$. For any polynomial function p on ${\text {SU}}(2)$, let $V(p)$ be the left convolution operator by $p/(1 - \phi )$ on ${L^2}({\text {SU}}(2))$, we prove that $V(p)/V(1)$ is a pseudodifferential operator of order 0 and give an explicit formula for its principal symbol. This is interpreted in terms of Martin compactification of a quantum random walk.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 345 (1994), 179-194
- MSC: Primary 60J50; Secondary 22E99, 47G30, 60B15, 81S25
- DOI: https://doi.org/10.1090/S0002-9947-1994-1225572-0
- MathSciNet review: 1225572