Results 1 to 10 of about 1,059,681 (321)
The Kernel of a Block of a Group Algebra [PDF]
Proceedings of the American Mathematical Society, 1973 Avoiding the theory of characters of finite groups and group algebras over fields of characteristic zero a ring theoretical proof is given for R. Brauer's theorem which asserts that the (modular) kernel of a block of a group algebra FG of a finite group ...
Gerhard O. Michler
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Convolutional kernel function algebra [PDF]
Frontiers in Computer Science, 2022 Many systems for image manipulation, signal analysis, machine learning, and scientific computing make use of discrete convolutional filters that are known before computation begins.
Edward Stow, Paul H. J. Kelly
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Invertibility in the flag kernels algebra on the Heisenberg group [PDF]
Journal of Fourier Analysis and Applications, 2015 Flag kernels are tempered distributions which generalize these of Calderon-Zygmund type. For any homogeneous group $\mathbb{G}$ the class of operators which acts on $L^{2}(\mathbb{G})$ by convolution with a flag kernel is closed under composition. In the
Kępa, Grzegorz
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Kernel approximation on algebraic varieties [PDF]
SIAM Journal on Applied Algebra and Geometry, 2021 Low-rank approximation of kernels is a fundamental mathematical problem with widespread algorithmic applications. Often the kernel is restricted to an algebraic variety, e.g., in problems involving sparse or low-rank data.
Jason M. Altschuler, P. Parrilo
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Block-encoding dense and full-rank kernels using hierarchical matrices: applications in quantum numerical linear algebra [PDF]
Quantum, 2022 Many quantum algorithms for numerical linear algebra assume black-box access to a block-encoding of the matrix of interest, which is a strong assumption when the matrix is not sparse.
Quynh T. Nguyen +2 more
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Kernel L-Ideals and L-Congruence on a Subclass of Ockham Algebras [PDF]
Journal of Mathematics, 2022 In this paper, we study L-congruences and their kernel in a subclass Kn,0 of the variety of Ockham algebras A. We prove that the class of kernel L-ideals of an Ockham algebra forms a complete Heyting algebra.
Teferi Getachew Alemayehu +2 more
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The inner kernel theorem for a certain Segal algebra [PDF]
Monatshefte für Mathematik (Print), 2022 The Segal algebra S0(G)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\
Hans G. Feichtinger, Mads S. Jakobsen
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A vertex operator algebra construction of the colour-kinematics dual numerator [PDF]
Journal of High Energy Physics, 2018 We derive a vertex operator based expression for the kinematic numerators of Yang-Mills amplitudes by applying the momentum kernel formalism to open string amplitudes. The expression involves an α ′ -weighted commutator induced by the monodromy relations
Chih-Hao Fu, Pierre Vanhove, Yihong Wang
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Algebraicity of the Bergman Kernel
Mathematische Annalen, 2020 Our main result introduces a new way to characterize two-dimensional finite ball quotients by algebraicity of their Bergman kernels. This characterization is particular to dimension two and fails in higher dimensions, as is illustrated by a counterexample in dimension three constructed in this paper.
Peter Ebenfelt, Ming Xiao, Hang Xu
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Batched Triangular Dense Linear Algebra Kernels for Very Small Matrix Sizes on GPUs [PDF]
ACM Transactions on Mathematical Software, 2019 Batched dense linear algebra kernels are becoming ubiquitous in scientific applications, ranging from tensor contractions in deep learning to data compression in hierarchical low-rank matrix approximation.
Ali Charara +2 more
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