Functional calculus of Lie groups and wave propagation

zbMath0901.43001MaRDI QIDQ1126747

Detlef Müller

Publication date: 6 August 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228703

zbMATH Keywords

wave propagationLie groupsublaplacianLaplacian\(L^p\) estimatesmultiplier theorems

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (7)

Spectral multiplier theorems via \(H^\infty\) calculus and \(R\)-bounds ⋮ Extension problem and fractional operators: semigroups and wave equations ⋮ Holomorphic Hörmander-type functional calculus on sectors and strips ⋮ Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type ⋮ \(L_p\)-estimates of the wave equation on varieties with a conic singularity ⋮ Wave equation and multiplier estimates on Damek-Ricci spaces ⋮ Functional calculus for the Laguerre operator

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