Generalized heat equation and applications

DOI10.1080/10652469.2013.811578zbMath1282.35183OpenAlexW2140395966MaRDI QIDQ2874101

Hatem Mejjaoli

Publication date: 28 January 2014

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2013.811578

zbMATH Keywords

differential-difference operatorshomogeneous Littlewood-Paley decompositionDunkl heat semigrouphomogeneous Dunkl-Besov spaceTaylor series for the Dunkl Gaussian kernel

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06) Analysis on real and complex Lie groups (22E30) Heat kernel (35K08)

Related Items (3)

Rellich, Gagliardo-Nirenberg, Trudinger and Caffarelli-Kohn-Nirenberg inequalities for Dunkl operators and applications ⋮ Direct and inverse problems for time-fractional heat equation generated by Dunkl operator ⋮ Existence of extremals of Dunkl-type Sobolev inequality and of Stein-Weiss inequality for Dunkl Riesz potential

Cites Work

• Strichartz estimates for the Dunkl wave equation and application
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• The Dunkl transform
• Generalized Besov spaces and their applications
• Nonsymmetric Jack polynomials and integral kernels
• Convolution operator and maximal function for the Dunkl transform
• Spaces of distributions of Besov type on Euclidean n-space. Duality, interpolation
• Integral Kernels with Reflection Group Invariance
• Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A positive radial product formula for the Dunkl kernel

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