Journal of Lie Theory

no. 2
Vanishing Properties of Analytically Continued Matrix Coefficients
Journal of Lie Theory, Volume 12 (2002) no. 2, pp. 409-421
We consider (generalized) matrix coefficients associated to irreducible unitary representations of a simple Lie group G which admit holomorphic continuation to a complex semigroup domain S, subset of GC. Vanishing theorems for these analytically continued matrix coefficients, one of Howe-Moore type and one for cusp forms, are proved.
DOI: 10.5802/jolt.271
Classification: 22E46, 22A20, 22E40
Keywords: semisimple Lie group, highest weight representation, automorphic form, Olshanski semigroup, analytic continuation 
@article{JOLT_2002_12_2_a5,
     author = {B. Kr\"otz and M. Otto},
     title = {Vanishing {Properties} of {Analytically} {Continued} {Matrix} {Coefficients}},
     journal = {Journal of Lie Theory},
     pages = {409--421},
     year = {2002},
     volume = {12},
     number = {2},
     doi = {10.5802/jolt.271},
     zbl = {1012.22027},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.271/}
}
TY  - JOUR
AU  - B. Krötz
AU  - M. Otto
TI  - Vanishing Properties of Analytically Continued Matrix Coefficients
JO  - Journal of Lie Theory
PY  - 2002
SP  - 409
EP  - 421
VL  - 12
IS  - 2
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.271/
DO  - 10.5802/jolt.271
ID  - JOLT_2002_12_2_a5
ER  - 
%0 Journal Article
%A B. Krötz
%A M. Otto
%T Vanishing Properties of Analytically Continued Matrix Coefficients
%J Journal of Lie Theory
%D 2002
%P 409-421
%V 12
%N 2
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.271/
%R 10.5802/jolt.271
%F JOLT_2002_12_2_a5
B. Krötz; M. Otto. Vanishing Properties of Analytically Continued Matrix Coefficients. Journal of Lie Theory, Volume 12 (2002) no. 2, pp. 409-421. doi: 10.5802/jolt.271

Cited by Sources: