Spectral analysis and synthesis on symmetric spaces
✍ Scribed by Antoni Wawrzyñczyk
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 797 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
On a symmetric space X=GÂK of noncompact type, we consider the formulas where 8 \* is the spherical function on X. Taken together they represent, the synthesis and decomposition formulas for appropriate functions f on X in terms of joint eigenfunctions of the invariant differential operators on X.
This paper continues the study of spectral synthesis and the topologies t 1 and t r on the ideal space of a Banach algebra, concentrating on the class of Banach \* -algebras, and in particular on L 1 -group algebras. It is shown that if a group G is a finite extension of an abelian group then t r is
Let \(M=G / K\) be a simply connected symmetric space of non-positive curvature. We establish a natural 1-1-correspondence between geodesically convex \(K\)-invariant functions on \(M\) and convex functions, invariant under the Weyl group, on a Cartan subspace.