caa a22 4500 467989567 CHVBK 20180323112541.0 cr unu---uuuuu 170328e19900601xx s 000 0 eng 10.1007/BF01302779 doi (NATIONALLICENCE)springer-10.1007/BF01302779 A heat semigroup version of Bernstein's theorem on Lie groups [Elektronische Daten] [G. Gaudry, S. Meda, R. Pini] This paper establishes a heat semigroup version of Bernstein's theorem, applicable to any unimodular Lie group. The result has an intrinsic geometric content, involving estimates for the norms of the heat kernels for small time and large time. The theorem is stated in terms of certain Lipschitz spaces whose definition incorporates these two geometric features of the group in question. The geometric content is further underlined by showing that, in a certain sence, the theorem is best-possible. Springer-Verlag, 1990 Gaudry G. School of Information Science and Technology, The Flinders University of South Australia, GPO Box 2100, 5001, Adelaide, Australia aut Meda S. Dipartimento di Matematica, Università di Trento, 38050, Povo (TN), Italy aut Pini R. Dipartimento di Matematica Facoltà di Economia e Commercio, Università di Verona, Verona, Italy aut Monatshefte für Mathematik Springer-Verlag 110/2(1990-06-01), 101-114 0026-9255 110:2<101 1990 110 605 https://doi.org/10.1007/BF01302779 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01302779 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gaudry G. School of Information Science and Technology, The Flinders University of South Australia, GPO Box 2100, 5001, Adelaide, Australia aut NATIONALLICENCE 700 1- Meda S. Dipartimento di Matematica, Università di Trento, 38050, Povo (TN), Italy aut NATIONALLICENCE 700 1- Pini R. Dipartimento di Matematica Facoltà di Economia e Commercio, Università di Verona, Verona, Italy aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer-Verlag 110/2(1990-06-01), 101-114 0026-9255 110:2<101 1990 110 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer