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Besov-Type Spaces on Rdand Integrability for the Dunkl Transform
- Source :
- Symmetry, Integrability and Geometry : Methods and Applications, Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, 2009, 5, 019, 15 pp. ⟨10.3842/SIGMA.2009.019⟩, Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 019 (2009)
- Publication Year :
- 2009
- Publisher :
- SIGMA (Symmetry, Integrability and Geometry: Methods and Application), 2009.
-
Abstract
- International audience; In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution. Finally, we establish further results concerning integrability of the Dunkl transform of function in a suitable Besov-Dunkl space.
- Subjects :
- Pure mathematics
Mathematics::Classical Analysis and ODEs
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]
Characterization (mathematics)
Type (model theory)
Besov-Dunkl spaces
[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]
Space (mathematics)
01 natural sciences
Convolution
Mathematics::Quantum Algebra
Classical Analysis and ODEs (math.CA)
FOS: Mathematics
0101 mathematics
Mathematics::Representation Theory
Mathematical Physics
Dunkl operator
Mathematics
Mathematics::Functional Analysis
Dunkl operators
lcsh:Mathematics
010102 general mathematics
Function (mathematics)
Dunkl transform
Dunkl translations
lcsh:QA1-939
Functional Analysis (math.FA)
Mathematics - Functional Analysis
010101 applied mathematics
Algebra
Mathematics - Classical Analysis and ODEs
Schwartz space
Interpolation space
Geometry and Topology
Dunkl convolution
Analysis
Subjects
Details
- ISSN :
- 18150659
- Database :
- OpenAIRE
- Journal :
- Symmetry, Integrability and Geometry: Methods and Applications
- Accession number :
- edsair.doi.dedup.....a23afae2d452134dfe218515c3f347ca