Properties of translation operator and the solution of the eigenvalue and boundary value problems of arbitrary space–time periodic metamaterials [PDF]
Royal Society Open Science, 2021 There is a recent interest in understanding and exploiting the intriguing properties of space–time metamaterials. In the current manuscript, the time periodic circuit theory is exploited to introduce an appropriate translation operator that fully ...
Sameh Y. Elnaggar, Gregory N. Milford
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On Hyperbolic Equations with a Translation Operator in Lowest Derivatives
MathematicsIn the half-plane, a solution to a two-dimensional hyperbolic equation with a translation operator in the lowest derivative with respect to a spatial variable varying along the entire real axis is constructed in an explicit form.
Vladimir Vasilyev, Natalya Zaitseva
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Experimental Burn Induction in Laboratory Animals: A Scoping Review of Methods, Reproducibility, Operator-Dependent Variability, and Relevance to Soft Tissue Reconstruction and Repair [PDF]
BioengineeringBackground: Experimental animal models remain central to burn research and soft-tissue reconstruction/repair, but method heterogeneity compromises reproducibility, comparability, and translation for depth/area endpoints.
Antonios Kyriakopoulos +6 more
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Translation on Graphs: An Isometric Shift Operator [PDF]
IEEE Signal Processing Letters, 2015 In this letter, we propose a new shift operator for graph signals, enforcing that our operator is isometric. Doing so, we ensure that as many properties of the time shift as possible get carried over. Finally, we show that our operator behaves reasonably for graph signals.
Benjamin Girault, Eric Fleury
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A New Translation Operator by Covariant Derivative in the Generalized Space
Advances in Mathematical PhysicsIn this paper, we substituted the ordinary derivative with the covariant derivative in simple translation, that is built by applying the ordinary derivative and we investigate the new display of the simple translation.
Mehdi Jafari Matehkolaee +1 more
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Ear Centering for Accurate Synthesis of Near-Field Head-Related Transfer Functions
Applied Sciences, 2022 The head-related transfer function (HRTF) is a major tool in spatial sound technology. The HRTF for a point source is defined as the ratio between the sound pressure at the ear position and the free-field sound pressure at a reference position.
Ayrton Urviola +2 more
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Classical Solutions of Hyperbolic Equation with Translation Operators in Free Terms
Mathematics, 2023 In this paper, we study the question of constructing explicit solutions in a half-space of a hyperbolic equation containing translation operators in space variables in all coordinate directions.
Vladimir Vasilyev, Natalya Zaitseva
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Continuity of translation operators [PDF]
Proceedings of the American Mathematical Society, 2011 For a Radon measure μ \mu on
Athreya, Krishna B., Peters, Justin R.
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Translation to Bundle Operators [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We give explicit formulas for conformally invariant operators with leading term an $m$-th power of Laplacian on the product of spheres with the natural pseudo-Riemannian product metric for all $m$.
Branson, T.P., Hong, D.
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TRANSLATION OPERATORS ON THE HALF-LINE [PDF]
Proceedings of the National Academy of Sciences, 1969 The self-adjoint algebra of operators generated by the semigroup of translation operators acting on the Hilbert space of functions supported on the half-line is studied. A real-valued index is introduced and is used to determine the spectrum of the Wiener-Hopf integral operators with distribution kernel having an almost periodic Fourier transform ...
Coburn, Lewis A., Douglas, R. G.
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