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Bounded harmonic functions for the Heckman--Opdam Laplacian
Bounded harmonic functions for the Heckman--Opdam Laplacian
- Publication Year :
- 2008
- Publisher :
- HAL CCSD, 2008.
-
Abstract
- We describe the set of bounded harmonic functions for the Heckman--Opdam Laplacian, when the multiplicity function is larger than 1/2. We prove that this set is a vector space of dimension the cardinality of the Weyl group. We give some consequences in terms of the associated hypergeometric functions.<br />Comment: [V2]: terminology "radial function" changed in "W-invariant function". One reference added
- Subjects :
- Pure mathematics
Poisson boundary
33C67
60J45
60J50
General Mathematics
Mathematics::Classical Analysis and ODEs
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]
01 natural sciences
010104 statistics & probability
symbols.namesake
Mathematics::Quantum Algebra
Classical Analysis and ODEs (math.CA)
FOS: Mathematics
0101 mathematics
Hypergeometric function
Mathematics::Representation Theory
Mathematics
Weyl group
010102 general mathematics
Probability (math.PR)
Multiplicity (mathematics)
bounded harmonic function
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
Harmonic function
Mathematics - Classical Analysis and ODEs
Bounded function
mirror coupling
Trigonometric Dunkl theory
symbols
Laplace operator
Mathematics - Probability
Vector space
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....49020bfb83c4b0c8af2d2afaf4902eaa