Fractional Laplacians on the sphere, the Minakshisundaram zeta function and semigroups

DOI10.1090/conm/723/14545OpenAlexW2751964276MaRDI QIDQ5236849

Pablo Raúl Stinga, Pablo L. De Nápoli

Publication date: 16 October 2019

Published in: New Developments in the Analysis of Nonlocal Operators (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00448

zbMATH Keywords

spherical harmonicszeta functionmethod of semigroupsfractional Laplacian on the sphereHarnack inquality

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) Other Dirichlet series and zeta functions (11M41) Hurwitz and Lerch zeta functions (11M35) Fractional partial differential equations (35R11) Heat kernel (35K08)

Related Items (3)

Non-local equations and optimal Sobolev inequalities on compact manifolds ⋮ Pointwise monotonicity of heat kernels ⋮ New Brezis-van Schaftingen-Yung-Sobolev type inequalities connected with maximal inequalities and one parameter families of operators

Uses Software

• DLMF

Cites Work

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• Regularity of the obstacle problem for a fractional power of the laplace operator
• The local regularity of solutions of degenerate elliptic equations
• An Extension Problem Related to the Fractional Laplacian
• Spherical Harmonics
• Note on the Hurwitz Zeta-Function

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