Eigendecompositions of Transfer Operators in Reproducing Kernel Hilbert Spaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-019-09574-z
Abstract: Transfer operators such as the Perron–Frobenius or Koopman operator play an important role in the global analysis of complex dynamical systems. The eigenfunctions of these operators can be used to detect metastable sets, to project… read more here.
Keywords: eigendecompositions transfer; reproducing kernel; hilbert spaces; transfer operators ... See more keywords
Hardy type inequaltiy for reproducing Kernel Hilbert space operators and related problems
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DOI: 10.1007/s11117-017-0489-6
Abstract: A Hardy type inequality for Reproducing Kernel Hilbert Space operators is proved. It is well known (see Halmos in A Hilbert space problem book. Springer, Berlin, 1982) the following power inequality for numerical radius of… read more here.
Keywords: left right; reproducing kernel; space; hilbert space ... See more keywords
Revitalising Pedrick’s Approach to Reproducing Kernel Hilbert Spaces
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DOI: 10.1007/s11785-021-01091-w
Abstract: This short note has to make alive the overlooked work of Pedrick. It is rather a tour guide than exhausted examination of the content and intends to serve potential explorers of diverse kinds of reproducing… read more here.
Keywords: approach reproducing; reproducing kernel; hilbert spaces; revitalising pedrick ... See more keywords
Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of Robin
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DOI: 10.1016/j.rinp.2021.104210
Abstract: Abstract Through the utilized investigation, a novel algorithm in reproducing kernel Hilbert approach is applied to generate pointwise numerical solution to time-fractional Burgers’ model in fulness of overdetermination Robin boundary condition. Details theoretical explanations are… read more here.
Keywords: time; fractional burgers; reproducing kernel; pointwise numerical ... See more keywords
A boundary formula for reproducing kernel Hilbert spaces of real harmonic functions in Lipschitz domains
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DOI: 10.1080/17476933.2019.1709967
Abstract: This paper develops a new Hilbert space method to characterize a family of reproducing kernel Hilbert spaces of real harmonic functions in a bounded Lipschitz domain . Such method involves some families of positive self-adjoint… read more here.
Keywords: harmonic functions; reproducing kernel; hilbert spaces; spaces real ... See more keywords
A Variational Pansharpening Approach Based on Reproducible Kernel Hilbert Space and Heaviside Function
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Image Processing"
DOI: 10.1109/tip.2018.2839531
Abstract: Pansharpening is an important application in remote sensing image processing. It can increase the spatial-resolution of a multispectral image by fusing it with a high spatial-resolution panchromatic image in the same scene, which brings great… read more here.
Keywords: kernel hilbert; hilbert space; image; heaviside function ... See more keywords
Optimal Transport in Reproducing Kernel Hilbert Spaces: Theory and Applications
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Pattern Analysis and Machine Intelligence"
DOI: 10.1109/tpami.2019.2903050
Abstract: In this paper, we present a mathematical and computational framework for comparing and matching distributions in reproducing kernel Hilbert spaces (RKHS). This framework, called optimal transport in RKHS, is a generalization of the optimal transport… read more here.
Keywords: transport; hilbert spaces; reproducing kernel; transport reproducing ... See more keywords
Adaptive Graph Filters in Reproducing Kernel Hilbert Spaces: Design and Performance Analysis
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Signal and Information Processing over Networks"
DOI: 10.1109/tsipn.2020.3046217
Abstract: This paper develops adaptive graph filters that operate in reproducing kernel Hilbert spaces. We consider both centralized and fully distributed implementations. We first define nonlinear graph filters that operate on graph-shifted versions of the input… read more here.
Keywords: performance; reproducing kernel; graph; adaptive graph ... See more keywords
Extension of the Reproducing Kernel Hilbert Space Method's Application Range to Include Some Important Fractional Differential Equations
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DOI: 10.3390/sym15020532
Abstract: Fractional differential equations are becoming more and more indispensable for modeling real-life problems. Modeling and then analyzing these fractional differential equations assists researchers in comprehending and predicting the system they want to study. This is… read more here.
Keywords: extension reproducing; fractional differential; kernel hilbert; reproducing kernel ... See more keywords