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Subjects
43-XX Abstract harmonic analysis
43Axx Abstract harmonic analysis
43A22 Homomorphisms and multipliers of function spaces on groups, semigroups, etc.

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Order Isomorphisms of Fourier-Stieltjes Algebras.

Jean de Cannière, Wolfgang Arendt (1983)

Mathematische Annalen

Oscillating multipliers on noncompact symmetric spaces.

Saverio Giulini, Stefano Meda (1990)

Journal für die reine und angewandte Mathematik

Oscillating multipliers on the Heisenberg group

E. K. Narayanan, S. Thangavelu (2001)

Colloquium Mathematicae

Let ℒ be the sublaplacian on the Heisenberg group Hⁿ. A recent result of Müller and Stein shows that the operator $ℒ^{- 1 / 2} s i n \sqrt ℒ$ is bounded on $L^{p} (H ⁿ)$ for all p satisfying |1/p - 1/2| < 1/(2n). In this paper we show that the same operator is bounded on $L^{p}$ in the bigger range |1/p - 1/2| < 1/(2n-1) if we consider only functions which are band limited in the central variable.

Currently displaying 21 – 23 of 23

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