Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform

DOI10.4171/RMI/108zbMath0785.43003OpenAlexW2051399551MaRDI QIDQ1185460

Sundaram Thangavelu

Publication date: 28 June 1992

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39421

zbMATH Keywords

eigenvaluesspherical functionsradial functionscompactly supported probability measurereduced Heisenberg groupspherical mean value operators

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (13)

Injectivity of the Pompeiu transform in the Heisenberg group ⋮ Spherical means and CR functions on the Heisenberg group ⋮ On regularity of twisted spherical means and special Hermite expansions ⋮ Pointwise ergodic theorems for radial averages on the Heisenberg group ⋮ The Weyl transform of a measure ⋮ Analogues of theorems of Chernoff and Ingham on the Heisenberg group ⋮ On the lacunary spherical maximal function on the Heisenberg group ⋮ Injectivity sets for spherical means on the Heisenberg group ⋮ Theorems of Chernoff and Ingham for certain eigenfunction expansions ⋮ Convolution operators with singular measures of fractional type on the Heisenberg group ⋮ On the maximal function associated to the spherical means on the Heisenberg group ⋮ Spherical means, wave equations, and Hermite-Laguerre expansions ⋮ Weyl multipliers for invariant Sobolev spaces

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