caa a22 4500 477094732 CHVBK 20180405111524.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF03322206 doi (NATIONALLICENCE)springer-10.1007/BF03322206 Gutzmer Tim Institut für Numerische und Angewandte Mathematik, Universität Göttingen, Lotzestr. 16-18, D-37083, Göttingen, Germany aut Interpolation by positive definite functions on locally compact groups with application to SO (3) [Elektronische Daten] [Tim Gutzmer] In this research a method for interpolation on arbitrary locally compact groups is developed. The method is based on positive definite functions definable on spaces with group multiplication. To be able to use these functions two steps are necessary. First, positive semidefinite functions are determined using Bochners theorem on commutative groups respectively representation theory in the non commutative case. Then transformations are given to get positive definite out of positive semidefinite functions. For the compact group 50(3) the result is explicitly calculated and implemented in the case of three and five dimensional representations, and is applied to the approximation of energy functions of molecule interactions in 3-space. Birkhäuser Verlag, Basel, 1996 65D05 nationallicence 43A35 nationallicence scattered data interpolation nationallicence Results in Mathematics Birkhäuser-Verlag 29/1-2(1996-03-01), 69-77 0378-6218 29:1-2<69 1996 29 25 https://doi.org/10.1007/BF03322206 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF03322206 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gutzmer Tim Institut für Numerische und Angewandte Mathematik, Universität Göttingen, Lotzestr. 16-18, D-37083, Göttingen, Germany aut NATIONALLICENCE 773 0- Results in Mathematics Birkhäuser-Verlag 29/1-2(1996-03-01), 69-77 0378-6218 29:1-2<69 1996 29 25 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer