The range of the spectral projection associated with the Dunkl Laplacian
From MaRDI portal
Publication:2198790
DOI10.1155/2020/7803719zbMath1465.46042OpenAlexW3044254167MaRDI QIDQ2198790
Hatem Mejjaoli, Salem Ben Said
Publication date: 15 September 2020
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2020/7803719
General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Topological linear spaces of test functions, distributions and ultradistributions (46F05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An analogue of the spectral projection for homogeneous trees
- Image of the Schwartz space under spectral projection
- Analysis on \(h\)-harmonics and Dunkl transforms. Edited by Sergey Tikhonov
- A spectral Paley-Wiener theorem
- The wave equation for Dunkl operators
- Harmonic analysis as spectral theory of Laplacians
- A new proof of a Paley-Wiener type theorem for the Jacobi transform
- Generalized Hermite polynomials and the heat equation for Dunkl operators
- The Dunkl transform
- On the Poisson transform on symmetric spaces of real rank one
- Reflection groups and orthogonal polynomials on the sphere
- Generalized spectral projections on symmetric spaces of noncompact type: Paley-Wiener theorems
- Positivity of Dunkl's intertwining operator
- Uncertainty principle on weighted spheres, balls and simplexes
- Hörmander's multiplier theorem for the Dunkl transform
- Quantum Lax pairs via Dunkl and Cherednik operators
- Convolution operator and maximal function for the Dunkl transform
- A spectral Paley-Wiener theorem for the Heisenberg group and a support theorem for the twisted spherical means on \(\mathbb C^n\)
- The Hardy space \(H^1\) in the rational Dunkl setting
- Positive \(L^p\)-bounded Dunkl-type generalized translation operator and its applications
- A new mean value property for harmonic functions relative to the Dunkl-Laplacian operator and applications
- Differential-Difference Operators Associated to Reflection Groups
- Integral Kernels with Reflection Group Invariance
- Integration of the intertwining operator for $h$-harmonic polynomials associated to reflection groups
- On a mean value property associated with the dunkl laplacian operator and applications
- The dunkel intertwining operator on spaces of functions and distributions and integral representation of its dual
- Funk-Hecke Formula for Orthogonal Polynomials on Spheres and on Balls
- Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
- A positive radial product formula for the Dunkl kernel
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- Three results in Dunkl analysis
- Paley–Wiener theorems for the Dunkl transform
- Orthogonal Polynomials of Several Variables