Spherical mean periodic functions on semisimple Lie groups
نویسندگان
چکیده
منابع مشابه
Orbit Functions of Compact Semisimple Lie Groups as Special Functions
An orbit function is the contribution to an irreducible character of a compact semisimple Lie group G of rank n from one of its Weyl group orbits. Properties of such functions will be described for compact simple Lie groups of all types. In particular, products of the functions decompose into their sums, the functions are periodic on copies of the fundamental region F of G, they are solutions o...
متن کاملOn Contractions of Semisimple Lie Groups
A limiting formula is given for the representation theory of the Cartan motion group associated to a Riemannian symmetric pair (G, K) in terms of the representation theory of G. Introduction. Let G be a connected Lie group with Lie algebra g, and H a closed subgroup with subalgebra b. The coset space G/H is called reductive [9, p. 389] if h admits an AdG(H) invariant complement m in g; i.e. a s...
متن کاملRepresentations of Semisimple Lie Groups
Let G be a Lie group and § a Banach space. A representation n of G on § is a mapping which assigns to every element x in G a bounded linear operator n(x) on § such that the following two conditions are fulfilled: (1) 7t(xy) = n(x) 7i(y) (x, y e G),n(l) = / and (2) the mapping (x, tp) ->uz(x)y) of G x § into § is continuous. (Here 1 is the unit element of G and I is the unit operator,) In partic...
متن کاملIntegrable G-Strands on semisimple Lie groups
CNRS / Laboratoire de Météorologie Dynamique, École Normale Supérieure, Paris, France. Partially supported by a Projet Incitatif de Recherche contract from the Ecole Normale Supérieure de Paris. [email protected] Department of Mathematics, Imperial College London. London SW7 2AZ, UK. Partially supported by the European Research Council’s Advanced Grant 267382 FCCA. [email protected] Secti...
متن کاملRepresentations of Semisimple Lie Groups
Fifty years ago, at the International Congress in Bologna, Hermann Weyl gave a report on representations of compact groups and, in particular, of compact Lie groups. Most of the important results had just been proved by him and by others, and at the time of his lecture, in 1928, the representation theory of compact Lie groups had become a very appealing subject. To a large extent, Weyl's theory...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1979
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1979.84.241