Divided differences and restriction operator on Paley–Wiener spaces $${PW_{\tau}^{p}}$$ for N–Carleson sequences

Gaunard, Frédéric

doi:10.1007/s13348-012-0066-z

Search citation statements

Order By: Relevance

Paper Sections

Select...

Some Onbs In H F1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2014

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Remark 8.5. Our algorithm for the ONB in H F uses an analogue of "divided differences" from numerical analysis [Gau13], as well as the Gram-Schmidt algorithm used in the theory of orthogonal polynomials [Akh65], and more generally orthogonal functions. There, one expresses the Gram-Schmidt algorithm with the use of suitable tri-diagonal infinite by infinite matrices, so a band of numbers down the infinite diagonal, and zeroes off the band.…”

Section: Some Onbs In H Fmentioning

confidence: 99%

Von Neumann indices and classes of positive definite functions

Jørgensen

Tian

2014

Journal of Mathematical Physics

View full text Add to dashboard Cite

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 Ω in R, on the one hand; and (ii) spectral theory for elliptic differential operators acting on Ω, (constant coefficients.) A novelty in our approach is the use of a reproducing kernel Hilbert space H F computed directly from (Ω, F ), as well as algorithms for computing relevant orthonormal bases in H F .

show abstract

Section: Some Onbs In H Fmentioning

confidence: 99%