J. Ledford

activity

20132026

most citedOn the Convergence of Regular Families of Cardinal Interpolators

18 citations · 55 across the 19 of their papers we have counts for

collaborators

Showing 2015Show all

4 papers · 1 filter

math.CA2015

Polyhyperbolic Cardinal Splines

Jeff Ledford

In this note we discuss solutions of differential equation $(D^{2} - α^{2})^{k} u = 0$ on $R ∖ Z$ , which we call hyperbolic splines. We develop the fundamental funct…

math.CA2015★ 8 cited

Cardinal Interpolation With General Multiquadrics: Convergence Rates

Keaton Hamm, Jeff Ledford

This article pertains to interpolation of Sobolev functions at shrinking lattices $h Z^{d}$ from $L_{p}$ shift-invariant spaces associated with cardinal functions related to ge…

math.CA2015

Recovering functions from the modulation spaces $F W$

Jeff Ledford

In this short note we show that functions in the modulation space $F W = {f : \sum_{j \in Z^{n}} ∥ f^(\cdot + 2 π j) ∥_{L_{\infty} ([- π, π]^{n})} < \infty}$ enjoy similar r…

math.CA2015★ 16 cited

Cardinal Interpolation With General Multiquadrics

Keaton Hamm, Jeff Ledford

This paper studies the cardinal interpolation operators associated with the general multiquadrics, $ϕ_{α, c} (x) = (∥ x ∥^{2} + c^{2})^{α}$ , $x \in R^{d}$ . These operators take the form…

Polyhyperbolic Cardinal Splines

Cardinal Interpolation With General Multiquadrics: Convergence Rates

Recovering functions from the modulation spaces FW

Cardinal Interpolation With General Multiquadrics

Recovering functions from the modulation spaces $F W$