A variational approach to the Dirichlet-Gabor wavelet-distributed approximating functional

Authors
Hoffman, DK Wei, GW Kouri, DJ
Citation
Dk. Hoffman et al., A variational approach to the Dirichlet-Gabor wavelet-distributed approximating functional, J MATH CHEM, 25(2-3), 1999, pp. 235-244
Citations number
15
Categorie Soggetti
Chemistry
Journal title
JOURNAL OF MATHEMATICAL CHEMISTRY
ISSN journal
02599791 → ACNP
Volume
25
Issue
2-3
Year of publication
1999
Pages
235 - 244
Database
ISI
SICI code
0259-9791(1999)25:2-3<235:AVATTD>2.0.ZU;2-B
Abstract
We show that the Dirichlet-Gabor wavelet-distributed approximating function al (DAF) can be derived from the same variational principle used to obtain non-interpolating wavelet-DAFs (such as the Hermite DAF). This variational approach for such interpolating DAFs complements the original viewpoint tha t they are generated by regularizing interpolating shells or through two-pa rameter Dirac delta sequences.