Results 61 to 70 of about 3,554 (232)
Abstract In subwavelength physics, a challenging problem is to characterise the spectral properties of finite systems of subwavelength resonators. In particular, it is important to identify localised modes as well as bandgaps and associated mobility edges.
Habib Ammari +2 more
wiley +1 more source
Composition operator induced by ?(z) = sz + t for which |s|?1, |t|<1 and |s|+|t|?1
We study in this paper the composition operator that is induced by ?(z) = sz + t. We give a characterization of the adjoint of composiotion operators generated by self-maps of the unit ball of form ?(z) = sz + t for which |s|?1, |t|
Baghdad Science Journal
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Partially Isometric Toeplitz Operators [PDF]
It has been observed that the only Toeplitz operators that are isometric are those of the form To where q is an inner function on the unit disc (see e.g., [1, Theorem 8, Corollary 3]; the notation and terminology introduced there will be adhered to throughout this note).
Brown, Arlen, Douglas, R. G.
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Space‐Time Boundary Elements on Graded Meshes for 3D Elastodynamics
ABSTRACT The solution to the elastodynamic equations in the exterior of a polygonal or polyhedral domain or a screen exhibits singularities at corners and edges. This paper presents a space‐time boundary element method in 3D on algebraically graded meshes to resolve these singularities, based on recently obtained error estimates for the weakly singular
Alessandra Aimi +3 more
wiley +1 more source
Let T1 be a generalized Calderón-Zygmund operator or ±I (the identity operator), let T2 and T4 be the linear operators, and let T3=±I. Denote the Toeplitz type operator by Tb=T1MbIαT2+T3IαMbT4, where Mbf=bf and Iα is the fractional integral operator.
Bijun Ren, Enbin Zhang
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Sensitivity of Perron and Fiedler Eigenpairs to Structural Perturbations of a Network
ABSTRACT One can estimate the change of the Perron and Fiedler values for a connected network when the weight of an edge is perturbed by analyzing relevant entries of the Perron and Fiedler vectors. This is helpful for identifying edges whose weight perturbation causes the largest change in the Perron and Fiedler values.
Silvia Noschese, Lothar Reichel
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Toeplitz Operators on the Weighted Bergman Space over the Two-Dimensional Unit Ball
We extend the known results on commutative Banach algebras generated by Toeplitz operators with radial quasi-homogeneous symbols on the two-dimensional unit ball.
Alma García, Nikolai Vasilevski
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Dirac–Schrödinger operators, index theory and spectral flow
Abstract In this article, we study generalised Dirac–Schrödinger operators in arbitrary signatures (with or without gradings), providing a general KK$\textnormal {KK}$‐theoretic framework for the study of index pairings and spectral flow. We provide a general Callias Theorem, which shows that the index (or the spectral flow, or abstractly the K ...
Koen van den Dungen
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Normal Truncated Toeplitz Operators [PDF]
The characterization of normal truncated Toepltiz operators is first given by Chalendar and Timotin. We give an elementary proof of their result without using the algebraic properties of truncated Toeplitz operators.
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A note on Berezin-Toeplitz quantization of the Laplace operator
Given a Hodge manifold, it is introduced a self-adjoint operator on the space of endomorphisms of the global holomorphic sections of the polarization line bundle.
Vedova Alberto Della
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