Journal article
Von Neumann indices and classes of positive definite functions
Journal of mathematical physics, Vol.55(9), p.93502
09/01/2014
DOI: 10.1063/1.4895462
Abstract
With view to applications, we establish a correspondence between two problems: (i) the problem of finding continuous positive definite extensions of functions F which are defined on open bounded domains Omega in R, on the one hand; and (ii) spectral theory for elliptic differential operators acting on Omega (constant coefficients). A novelty in our approach is the use of a reproducing kernel Hilbert space H-F computed directly from (Omega, F), as well as algorithms for computing relevant orthonormal bases in H-F. (C) 2014 AIP Publishing LLC.
Details
- Title: Subtitle
- Von Neumann indices and classes of positive definite functions
- Creators
- Palle Jorgensen - Univ Iowa, Dept Math, Iowa City, IA 52242 USAFeng Tian - Wright State University
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical physics, Vol.55(9), p.93502
- DOI
- 10.1063/1.4895462
- ISSN
- 0022-2488
- eISSN
- 1089-7658
- Publisher
- AMER INST PHYSICS
- Number of pages
- 50
- Language
- English
- Date published
- 09/01/2014
- Academic Unit
- Mathematics
- Record Identifier
- 9984241052702771
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