Results 1 to 10 of about 2,304 (162)

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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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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The invariant subspaces of S ⊕ S *

Concrete Operators, 2020
Using the tools of Sz.-Nagy–Foias theory of contractions, we describe in detail the invariant subspaces of the operator S ⊕ S*, where S is the unilateral shift on a Hilbert space. This answers a question of Câmara and Ross.
Dan Timotin
exaly   +2 more sources

Probabilistic Perturbation Bounds for Invariant, Deflating and Singular Subspaces

Axioms
In this paper, we derive new probabilistic bounds on the sensitivity of invariant subspaces, deflation subspaces and singular subspaces of matrices. The analysis exploits a unified method for deriving asymptotic perturbation bounds of the subspaces under
Petkov P H
exaly   +3 more sources

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, S Khorshidvandpour, Z Bahmani   +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, Marek Kosiek, Patryk Pagacz, Krzysztof Rudol, Marek Słociński   +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, Joram Keijser, Henning Sprekeler   +2 more
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Applications of the invariant subspace method on searching explicit solutions to certain special-type non-linear evolution equations

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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