Search Results - "Jorgensen, Palle"

Harmonic Analysis Invariants for Infinite Graphs Via Operators and Algorithms by Bezuglyi, Sergey, Jorgensen, Palle E. T.

“…We present recent advances in harmonic analysis on infinite graphs. Our approach combines combinatorial tools with new results from the theory of unbounded…”
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mu-Brownian Motion, Dualities, Diffusions, Transforms, and Reproducing Kernel Hilbert Spaces by Alpay, Daniel, Jorgensen, Palle

“…Replacing the Lebesgue measure on an interval by a Stieltjes positive non-atomic measure, we study the corresponding counterpart of the Brownian motion. We…”
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Higher Order Difference Operators and Associated Relative Reproducing Kernel Hilbert Spaces by Jorgensen, Palle E. T., Tian, James F.

“…We study multiple notions of Hilbert spaces of functions which, via the respective inner products, reproduce function values, or differences of function…”
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Free Probability on the Limit C∗-Algebra Induced by a Chain of Graphs by Cho, Ilwoo, Jorgensen, Palle E. T.

“…In this paper, we consider the limit C ∗ -algebra induced by a chain of connected finite directed graphs, and study the free probability on it. In particular,…”
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New Hilbert Space Tools for Analysis of Graph Laplacians and Markov Processes by Bezuglyi, Sergey, Jorgensen, Palle E. T.

“…The main objective of this paper is to develop the concepts and ideas used in the theory of weighted networks on infinite graphs. Our basic ingredients are a…”
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Einstein field equations extended to fractal manifolds: A fractal perspective by Khalili Golmankhaneh, Alireza, Jørgensen, Palle E.T., Schlichtinger, Agnieszka Matylda

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Representation theory and multilevel filters by Alpay, Daniel, Jorgensen, Palle, Lewkowicz, Izchak

“…We present a general setting where wavelet filters and multiresolution decompositions can be defined, beyond the classical L 2 ( R , d x ) setting. This is…”
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Measurable multiresolution systems, endomorphisms, and representations of Cuntz relations by Bezuglyi, Sergey, Jorgensen, Palle E. T.

“…The purpose of this paper is to present new classes of function systems as part of multiresolution analyses. Our approach is representation theoretic, and it…”
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Finitely additive functions in measure theory and applications by Alpay, Daniel, Jorgensen, Palle

“…In this paper, we consider, and make precise, a certain extension of the Radon-Nikodym derivative operator, to functions which are additive, but not…”
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Substitution-dynamics and invariant measures for infinite alphabet-path space by Bezuglyi, Sergey, Jorgensen, Palle E.T., Sanadhya, Shrey

“…We study substitutions on a countably infinite alphabet (without compactification) as Borel dynamical systems. We construct stationary and non-stationary…”
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About Sobolev spaces on fractals: fractal gradians and Laplacians by Khalili Golmankhaneh, Alireza, Jørgensen, Palle E. T., Serpa, Cristina, Welch, Kerri

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Monic representations of the Cuntz algebra and Markov measures by Dutkay, Dorin Ervin, Jorgensen, Palle E.T.

“…We study representations of the Cuntz algebras ON. While, for fixed N, the set of equivalence classes of representations of ON is known not to have a Borel…”
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Fourier frequencies in affine iterated function systems by Dutkay, Dorin Ervin, Jorgensen, Palle E.T.

“…We examine two questions regarding Fourier frequencies for a class of iterated function systems (IFS). These are iteration limits arising from a fixed finite…”
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Positive matrices in the Hardy space with prescribed boundary representations via the Kaczmarz algorithm by Herr, John E., Jorgensen, Palle E. T., Weber, Eric S.

“…For a singular probability measure μ on the circle, we show the existence of positive matrices on the unit disc which admit a boundary representation on the…”
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An Index for Graphs and Graph Groupoids by Cho, Ilwoo, Jorgensen, Palle

“…In this paper, we consider certain quantities that arise in the images of the so-called graph-tree indexes of graph groupoids. In text, the graph groupoids are…”
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Monopoles, Dipoles, and Harmonic Functions on Bratteli Diagrams by Bezuglyi, Sergey, Jorgensen, Palle E. T.

“…In our study of electrical networks we develop two themes: finding explicit formulas for special classes of functions defined on the vertices of a transient…”
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New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry by Alpay, Daniel, Jorgensen, Palle E.T.

“…We give two new global and algorithmic constructions of the reproducing kernel Hilbert space associated to a positive definite kernel. We further present a…”
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Power series solution for fractal differential equations by Khalili Golmankhaneh, Alireza, Bongiorno, Donatella, Jebali, Hajer, Jørgensen, Palle E. T.

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Analysis of orthogonality and of orbits in affine iterated function systems by Dutkay, Dorin Ervin, Jorgensen, Palle E. T.

“…We introduce a duality for affine iterated function systems (AIFS) which is naturally motivated by group duality in the context of traditional harmonic…”
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Non-standard analysis for fractal calculus by Khalili Golmankhaneh, Alireza, Welch, Kerri, Serpa, Cristina, Jørgensen, Palle E. T.

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