17 citations · 90 across the 22 of their papers we have counts for
22 papers
Sequential derivatives
Steen Pedersen, Joseph P. Sjoberg
Consider a real valued function defined, but not differentiable at some point. We use sequences approaching the point of interest to define and study sequential concepts of secant…
Extensions of Positive Definite Functions: Applications and Their Harmonic Analysis
Palle Jorgensen, Steen Pedersen, Feng Tian
We study two classes of extension problems, and their interconnections: (i) Extension of positive definite (p.d.) continuous functions defined on subsets in locally compact groups…
Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups
Palle Jorgensen, Steen Pedersen, Feng Tian
We study two extension problems, and their interconnections: (i) extension of positive definite (p.d.) continuous functions defined on subsets in locally compact groups ; and (i…
Exact Hausdorff Measure of Certain Non-Self-Similar Cantor Sets
Steen Pedersen, Jason D. Phillips
We establish a formula yielding the Hausdorff measure for a class of non-self-similar Cantor sets in terms of the canonical covers of the Cantor set.
Momentum Operators in The Unit Square
Steen Pedersen, Feng Tian
We investigate the skew-adjoint extensions of a partial derivative operator acting in the direction of one of the sides a unit square. We investigate the unitary equivalence of suc…
On Intersections of Cantor Sets: Self-Similarity
Steen Pedersen, Jason D. Phillips
Let C be a Cantor set. For a real number t let C+t be the translate of C by t, We say two real numbers s,t are equivalent if the intersection of C and C+s is a translate of the int…