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The reproducing Kernel of the Sobolev space on an interval.
- Source :
-
Proceedings of the American Mathematical Society . Oct2023, Vol. 151 Issue 10, p4435-4446. 12p. - Publication Year :
- 2023
-
Abstract
- Let H^n(a,b) be the one-dimensional Sobolev Hilbert space of order n on the interval (a,b) (n=1,2,\dots). The explicit form of the reproducing kernel of H^n(a,b) on finite interval was already known in the case for n=1,2,3. In this paper we obtain the explicit form of the reproducing kernel of H^n(a,b) on any interval for general n. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SOBOLEV spaces
*HILBERT space
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 151
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 172022677
- Full Text :
- https://doi.org/10.1090/proc/16452