Dynamics of the heat semigroup in Jacobi analysis
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Publication:413217
DOI10.1016/j.jmaa.2012.02.033zbMath1256.47025arXiv1104.4479OpenAlexW2095533885MaRDI QIDQ413217
Francesca Astengo, Bianca Di Blasio
Publication date: 4 May 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.4479
One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)
Related Items (9)
Dynamics of multivalued linear operators ⋮ Universal properties of the isotropic Laplace operator on homogeneous trees ⋮ Hypercyclic and topologically mixing properties of degenerate multi-term fractional differential equations ⋮ Chaotic dynamics of the heat semigroup on the Damek-Ricci spaces ⋮ Hardy-Littlewood-Sobolev-type inequality for the fractional Littlewood-Paley \(g\)-function in Jacobi analysis ⋮ On the chaotic behavior of the Dunkl heat semigroup on weighted \(L^{p}\) spaces ⋮ Discrete diffusion semigroups associated with Jacobi-Dunkl and exceptional Jacobi polynomials ⋮ Disjoint hypercyclic and disjoint topologically mixing properties of degenerate fractional differential equations ⋮ Unnamed Item
Cites Work
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- La \(g\)-fonction de Littlewood-Paley associée à un opérateur différentiel singulier sur \((0,\infty)\). (The Littlewood-Paley's \(g\)-function associated with à singular différential opérator on \((0,\infty)\))
- Heat kernel and Hardy's theorem for Jacobi transform
- On L(p,q) spaces
- Paley-Wiener type theorems for a differential operator connected with symmetric spaces
- Dynamics of the heat semigroup on symmetric spaces
- On Devaney's Definition of Chaos
- Hypercyclic and chaotic semigroups of linear operators
- Chaos for semigroups of unbounded operators
- Maximal Functions Associated with The Jacobi Transform
- Fourier and Radon transform on harmonic 𝑁𝐴 groups
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