INVARIANT SUBSPACES IN THE BIDISC AND WANDERING SUBSPACES [PDF]
Abstract Let M be a forward-shift-invariant subspace and N a backward-shift-invariant subspace in the Hardy space H2 on the bidisc. We assume that $H^2=N \oplus M$ . Using the wandering subspace of M and N, we study the relations between M and N. Moreover we study M and N using several natural operators defined by shift operators on H2.
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Adaptive detection of a signal known only to lie on a line in a known subspace, when primary and secondary data are partially homogeneous [PDF]
This paper deals with the problem of detecting a signal, known only to lie on a line in a subspace, in the presence of unknown noise, using multiple snapshots in the primary data.
Kraut, Shawn +5 more
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Invariant Subspaces, Quasi-invariant Subspaces, and Hankel Operators
The authors study algebraic properties of small Hankel operators on Bergman spaces of bounded symmetric domains \(\Omega\subset \mathbb{C}^n\). Here, the Bergman space \(L^2_a(\Omega)\) is the closed subspace of \(L^2(\Omega)\) consisting of analytic functions and the small Hankel operator \(\Gamma_\varphi\) with symbol \(\varphi\in L^2(\Omega)\) is ...
Guo, Kunyu, Zheng, Dechao
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SSA of biomedical signals: A linear invariant systems approach [PDF]
Singular spectrum analysis (SSA) is considered from a linear invariant systems perspective. In this terminology, the extracted components are considered as outputs of a linear invariant system which corresponds to finite impulse response (FIR) filters ...
Figueiredo, Nuno +7 more
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Detection of a signal in linear subspace with bounded mismatch [PDF]
We consider the problem of detecting a signal of interest in a background of noise with unknown covariance matrix, taking into account a possible mismatch between the actual steering vector and the presumed one.
Besson, Olivier
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Some Coupled Coincident Point Theorems in Metric Space
In this present work, we prove coupled coincident point theorem for contractive mappings F:X×X⟶X and g:X⟶X such that F(X×X)⊆g(X) in metric spaces that have a nonempty F- invariant and g-invariant complete subset and we prove uniqueness coupled ...
Samaneh Ghods
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A note on persistency of excitation [PDF]
We prove that if a component of the response signal of a controllable linear time-invariant system is persistently exciting of sufficiently high order, then the windows of the signal span the full system behavior.
Paolo Rapisarda +11 more
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Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations
The key purpose of the present research is to derive the exact solutions of nonlinear water wave equations (NLWWEs) in oceans through the invariant subspace scheme (ISS).
K. Hosseini +6 more
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The continuum limit of quantum gravity at first order in perturbation theory
The Wilsonian renormalization group (RG) properties of the conformal factor of the metric are profoundly altered by the fact that it has a wrong-sign kinetic term.
Alex Mitchell, Tim R. Morris
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Convergence of Restarted Krylov Subspaces to Invariant Subspaces [PDF]
The authors prove estimates for the angle (strictly spoken: for the containment gap) between a searched invariant subspace of a general \(n\times n\) matrix and the subspace generated by Krylov subspace methods like the Arnoldi algorithm or the biorthogonal Lanczos algorithm.
Christopher Beattie +2 more
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