A spectral multiplier theorem for a sublaplacian on SU(2)

Michael Cowling; Adam Sikora

doi:10.1007/PL00004894

A spectral multiplier theorem for a sublaplacian on SU(2)

Michael Cowling^*, Adam Sikora

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

62 Citations (Scopus)

Abstract

We prove a Hörmander-type spectral multiplier theorem for a sublaplacian on SU(2), with critical index determined by the Euclidean dimension of the group. This result is the analogue for SU(2) of the result for the Heisenberg group obtained by D. Müller and E.M. Stein and by W. Hebisch.

Original language	English
Pages (from-to)	1-36
Number of pages	36
Journal	Mathematische Zeitschrift
Volume	238
Issue number	1
DOIs	https://doi.org/10.1007/PL00004894
Publication status	Published - Sept 2001

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abstract = "We prove a H{\"o}rmander-type spectral multiplier theorem for a sublaplacian on SU(2), with critical index determined by the Euclidean dimension of the group. This result is the analogue for SU(2) of the result for the Heisenberg group obtained by D. M{\"u}ller and E.M. Stein and by W. Hebisch.",

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AB - We prove a Hörmander-type spectral multiplier theorem for a sublaplacian on SU(2), with critical index determined by the Euclidean dimension of the group. This result is the analogue for SU(2) of the result for the Heisenberg group obtained by D. Müller and E.M. Stein and by W. Hebisch.

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A spectral multiplier theorem for a sublaplacian on SU(2)

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