On pseudo-differential operators on group SU(2)
Michael Ruzhansky, Ville Turunen
TL;DR
This paper discusses the development of a global calculus for pseudo-differential operators on the compact Lie group SU(2), contributing to a broader framework applicable to similar groups.
Contribution
It introduces a global calculus for pseudo-differential operators on SU(2), advancing the understanding of analysis on compact Lie groups.
Findings
Established a framework for pseudo-differential operators on SU(2)
Outlined elements of the global calculus approach
Prepares for a comprehensive treatment in a forthcoming book
Abstract
In this paper we will outline elements of the global calculus of seudo-differential operators on the group SU(2). This is a part of a more general approach to pseudo-differential operators on compact Lie groups that will appear in the forthcoming book by the authors.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Waves and Solitons · Advanced Algebra and Geometry