On Bergman–Toeplitz operators in periodic planar domains
Abstract We study spectra of Toeplitz operators Ta$T_a$ with periodic symbols in Bergman spaces A2(Π)$A^2(\Pi)$ on unbounded singly periodic planar domains Π$\Pi$, which are defined as the union of infinitely many copies of the translated, bounded periodic cell ϖ$\varpi$.
Jari Taskinen
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M. Karoubi and C. Leruste, Algebraic topology via differential geometry (London Mathematical Society Lecture Note Series 99, Cambridge University Press1987) 363 pp. 0 521 31714 2, £15.(Originally published in French as Méthodes de géométrie différentielle en topologie algébrique, Paris 1982.) [PDF]
J. W. Bruce
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Cohomotopy sets of (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifolds for small n$n$
Abstract Let M$M$ be a closed orientable (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifold, n⩾2$n\geqslant 2$. In this paper, we combine the Postnikov tower of spheres and the homotopy decomposition of the reduced suspension space ΣM$\Sigma M$ to investigate the (integral) cohomotopy sets π*(M)$\pi ^\ast (M)$ for n=2,3,4$n=2,3,4$, under the assumption ...
Pengcheng Li, Jianzhong Pan, Jie Wu
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Real models for the framed little n$n$‐disks operads
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
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Dual spaces of geodesic currents
Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
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The Discretization‐Corrected Particle Strength Method for the Barotropic Vorticity Equations
Numerical solution for the barotropic vorticity equation in complex geometry using the meshless point collocation method. The spatial domain is represented by a set of nodes. The collocation method numerically solves the strong form governing equations.
G. C. Bourantas +9 more
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Topology, Geometry, Integrable Systems, and Mathematical Physics
References ...
F Pempinelli, Pogrebkov Andrei, M Boiti
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ABSTRACT In this paper, we introduce bivariate modified sampling Kantorovich operators, which extend the classical sampling Kantorovich operators by incorporating a transformation function ρ$$ \rho $$. The paper begins by presenting essential definitions, including to introduce new bivariate weighted modulus of continuity, and its fundamental ...
Metin Turgay, Tuncer Acar
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Variable Density Interpolation for Dynamic Topology Optimization
ABSTRACT Topology optimization problems are usually nonconvex, and different optimization paths often lead to different local optima. This phenomenon is particularly pronounced in dynamic situations, where it typically causes grayscale. The occurrence of grayscale is greatly dependent on material parameters such as stiffness and density. In particular,
Xinlin Xu +4 more
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Vision Transformer‐Enhanced Multi‐Descriptor Approach for Robust Age‐Invariant Face Recognition
ABSTRACT This study presents a robust age‐invariant face recognition framework, addressing challenges posed by age‐related facial variations. Evaluated on the FGNet and Morph II datasets, the system integrates Viola‐Jones for face detection, SIFT and LBP for feature extraction, and Vision Transformers (ViTs) for global feature representation.
Justice Kwame Appati +3 more
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