Dynamics of the heat semigroup in Jacobi analysis

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

zbMATH Keywords

\(L^p\) heat semigroupchaotic semigroupsJacobi analysis

Mathematics Subject Classification ID

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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