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The closedness of shift invariant subspaces in Lp,q(Rd+1) $L^{p,q} (\mathbb{R}^{d+1} )$ [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we consider the closedness of shift invariant subspaces in Lp,q(Rd+1) $L^{p,q} (\mathbb{R}^{d+1} )$. We first define the shift invariant subspaces generated by the shifts of finite functions in Lp,q(Rd+1) $L^{p,q} (\mathbb{R}^{d+1 ...
Qingyue Zhang
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On invariant graph subspaces [PDF]
Integral Equations and Operator Theory, 2016 In this paper we discuss the problem of decomposition for unbounded $2\times 2$ operator matrices by a pair of complementary invariant graph subspaces.
Makarov, Konstantin A. +2 more
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INVARIANT SUBSPACES IN UNBOUNDED DOMAINS
Проблемы анализа, 2021 We study subspaces of functions analytic in an unbounded convex domain of the complex plane and invariant with respect to the differentiation operator.
A. S. Krivosheev, O. A. Krivosheeva
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Compressed Sampling in Shift-Invariant Spaces Associated With FrFT
IEEE Access, 2021 Shift-invariant and sampling spaces play a vital role in the fields of signal processing and image processing. In this paper, we extend the generalized shift-invariant and sampling subspaces from the traditional sampling spaces to the compressed sampling,
Haoran Zhao, Lei Zhang, Liyan Qiao
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Uniformly invariant normed spaces
Bibechana, 2013 In this work, we introduce the concepts of compactly invariant and uniformly invariant. Also we define sometimes C-invariant closed subspaces and then prove every m-dimensional normed space with m > 1 has a nontrivial sometimes C-invariant closed ...
AM Forouzanfar +2 more
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Generalized powers and measures [PDF]
Opuscula Mathematica, 2021 Using the winding of measures on torus in "rational directions" special classes of unitary operators and pairs of isometries are defined. This provides nontrivial examples of generalized powers.
Zbigniew Burdak +4 more
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The transfer ideal under the action of orthogonal group in modular case
Open Mathematics, 2022 In this paper, we study the structures of the invariant subspaces under the action of orthogonal group O2ν(Fq,S){O}_{2\nu }\left({F}_{q},S). In particular, we give a detailed description of 2-codimensional invariant subspaces.
Lingli Zeng
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Invariant neural subspaces maintained by feedback modulation
eLife, 2022 Sensory systems reliably process incoming stimuli in spite of changes in context. Most recent models accredit this context invariance to an extraction of increasingly complex sensory features in hierarchical feedforward networks.
Laura B Naumann +2 more
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Frontiers in Physics, 2023 We extend the invariant subspace method (ISM) to a class of Hamilton–Jacobi equations (HJEs) and a family of third-order time-fractional dispersive PDEs with the Caputo fractional derivative in this letter.
Gaizhu Qu, Mengmeng Wang, Shoufeng Shen
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Invariant Lagrangian subspaces [PDF]
Proceedings of the American Mathematical Society, 1988 It is proved that on Hilbert spaces with strong symplectic form, every symplectic operatorI+CI + CwithCCcompact has an invariant Lagrangian subspace.
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