A spectral multiplier theorem for a sublaplacian on SU(2)
By M. Cowling, Adam S. Sikora. 2001
99 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/6490dfe023262abd161f491720e49ce17a0641fd
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In Applied Mathematics
- Veronique Fischer
- Matthias W. Uhl
- Michael Ruzhansky
- P. Kunstmann
- J. Delgado
- Niyaz Tokmagambetov
- P. Auscher
- J. V. Neerven
In Mathematical Physics
- Veronique Fischer
- Michael Ruzhansky
- Matthias W. Uhl
- P. Kunstmann
- J. Delgado
- Niyaz Tokmagambetov
- Durvudkhan Suragan
- J. V. Neerven
Citations in the corpus
- Quantization on Nilpotent Lie Groups (2016, result): “Finally we note that there exist also results for the spectral multipliers in the sub-Laplacian, also on SU(2), for which we refer to Cowling and Sikora [CS01].”
- Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means (2012, unknown): “We refer the reade r to [2, 12, 14, 15, 16, 17, 21, 23, 24, 25, 26, 27, 28, 30, 32, 34, 44, 47, 48, 50, 53, 54, 56, 58, 59, 61, 63, 64] and the references therein.”
- Restriction and spectral multiplier theorems on asymptotically conic manifolds (2010, unknown): “For calculations starting from L(1) → L(2) estimates this principle can be equivalently stated in terms of weighted L(2) norms of the kernel; see [19, 26, 9].”
- Spectral multiplier theorems of H\"ormander type on Hardy and Lebesgue spaces (2012, methodology): “This approach originates in [20] and was also used in [27] or [15].”