Results 1 to 10 of about 67,137 (101)
A functional calculus and fractional powers for multivalued linear operators [PDF]
, 2000 This is a continuation of the earlier work of the two first authors [Potential Analysis Theory 9, No. 4, 301-319 (1998; Zbl 0927.47011)]. The authors improve a functional calculus valid for a wider class of functions. By applying the functional calculus a theory of fractional powers for multivalued nonnegative linear operators is obtained.
Martínez, Celso +2 more
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Современная математика: Фундаментальные направления, 2021 In this paper, we obtain necessary and sufficient conditions for the existence of variational principles for a given first-order differential-difference operator equation with a special form of the linear operator Pλ(t) depending on t and the nonlinear ...
I. A. Kolesnikova
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Results in Physics, 2022 Scientists and researchers are increasingly interested in mathematical modelling of infectious diseases with non-integer order. It is self-evident that a fixed order can only characterize classical models in epidemiology, but models with fractional-order
Joshua Kiddy K. Asamoah
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Ubiquitous Nature of the Reduced Higher Order SVD in Tensor-Based Scientific Computing
Frontiers in Applied Mathematics and Statistics, 2022 Tensor numerical methods, based on the rank-structured tensor representation of d-variate functions and operators discretized on large n⊗d grids, are designed to provide O(dn) complexity of numerical calculations contrary to O(nd) scaling by conventional
Venera Khoromskaia, Boris N. Khoromskij
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Noncommutative Functional Calculus and Its Applications on Invariant Subspace and Chaos
Mathematics, 2020 Let T:H→H be a bounded linear operator on a separable Hilbert space H. In this paper, we construct an isomorphism Fxx*:L2(σ(|T−a|),μ|T−a|,ξ)→L2(σ(|(T−a)*|),μ|(T−a)*|,Fxx*Hξ) such that (Fxx*)2=identity and Fxx*H is a unitary operator on H associated with ...
Lvlin Luo
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Similar Operators and a Functional Calculus for the First-Order Linear Differential Operator
Advances in Applied Mathematics, 1999 For linear functional equations which are similar to differential equations with constant coefficients, the general solution is constructed explicitly by means of operational methods.
Elizarraraz, David, Verde-Star, Luis
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Almost commuting functions of almost commuting self-adjoint operators [PDF]
, 2014 Let $A$ and $B$ be almost commuting (i.e, $AB-BA\in\bS_1$) self-adjoint operators. We construct a functional calculus $\f\mapsto\f(A,B)$ for $\f$ in the Besov class $B_{\be,1}^1(\R^2)$.
Aleksandrov, Aleksei, Peller, Vladimir
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AIP Advances, 2018 Nonlinearities in finite dimensions can be linearized by projecting them into infinite dimensions. Unfortunately, the familiar linear operator techniques that one would then hope to use often fail since the operators cannot be diagonalized.
Paul M. Riechers, James P. Crutchfield
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Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators
Kinetic & Related Models, 2013 In many works, the linearized non-cutoff Boltzmann operator is considered to behave essentially as a fractional Laplacian. In the present work, we prove that the linearized non-cutoff Boltzmann operator with Maxwellian molecules is exactly equal to a fractional power of the linearized Landau operator which is the sum of the harmonic oscillator and the ...
Lerner, Nicolas +3 more
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Spectral Theorem for Definitizable Normal Linear Operators on Krein Spaces [PDF]
, 2016 In the present note a spectral theorem for normal definitizable linear operators on Krein spaces is derived by developing a functional calculus ϕ↦ϕ(N) which is the proper analogue of ϕ↦∫ϕdE in the Hilbert space situation.
Kaltenbäck, Michael
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