Convolution in -space
R. S. Pathak, S. K. Upadhyay (1997)
Rendiconti del Seminario Matematico della Università di Padova
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R. S. Pathak, S. K. Upadhyay (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Sergej Čelikovský (1987)
Kybernetika
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Pilipovic, Stevan (1991)
Portugaliae mathematica
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Davide Guidetti (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Paolo Acquistapace, Brunello Terreni (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Thomas-William Korner (1977)
Annales de l'institut Fourier
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We give a new version of Ivasev-Musatov’s construction of a measure whose support has Lebesgue measure zero but whose Fourier transform drops away extremely rapidly.
S. Lachterman (1966)
Studia Mathematica
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Andrea Bonfiglioli (2004)
Bollettino dell'Unione Matematica Italiana
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In this paper, we are concerned with the following problem: given a set of smooth vector fields on , we ask whether there exists a homogeneous Carnot group such that is a sub-Laplacian on . We find necessary and sufficient conditions on the given vector fields in order to give a positive answer to the question. Moreover, we explicitly construct the group law i as above, providing direct proofs. Our main tool is a suitable version of the Campbell-Hausdorff formula. Finally, we...