Results 11 to 20 of about 1,059,681 (321)

Analytic Group Kernels and Lie Algebra Kernels [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1960
Made available in DSpace on 2014-12-05T21:50:04Z (GMT). No. of bitstreams: 1 0013519.pdf: 4191483 bytes, checksum: 8be73568683b59703b526632ade49bfc (MD5) Previous issue date: 1955 ; Embargo set by: Seth Robbins for item 58849 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs ; Restricted to ...
R. A. Macauley
openalex   +3 more sources

Performance Portability Study of Linear Algebra Kernels in OpenCL [PDF]

open access: green, 2014
The performance portability of OpenCL kernel implementations for common memory bandwidth limited linear algebra operations across different hardware generations of the same vendor as well as across vendors is studied.
Karl Rupp   +5 more
openalex   +3 more sources

Kernelization of Constraint Satisfaction Problems: A Study Through Universal Algebra [PDF]

open access: greenInternational Conference on Principles and Practice of Constraint Programming, 2017
A kernelization algorithm for a computational problem is a procedure which compresses an instance into an equivalent instance whose size is bounded with respect to a complexity parameter.
Victor Lagerkvist, Magnus Wahlström
openalex   +2 more sources

On the extension of positive definite kernels to topological algebras [PDF]

open access: greenJournal of Mathematical Physics, 2020
We define an extension of operator-valued positive definite functions from the real or complex setting to topological algebras and describe their associated reproducing kernel spaces. The case of entire functions is of special interest, and we give a precise meaning to some power series expansions of analytic functions that appears in many algebras.
Daniel Alpay, Ismael L. Paiva
openalex   +6 more sources

Multiresolution kernel matrix algebra [PDF]

open access: hybridNumerische Mathematik
AbstractWe propose a sparse algebra for samplet compressed kernel matrices to enable efficient scattered data analysis. We show that the compression of kernel matrices by means of samplets produces optimally sparse matrices in a certain S-format. The compression can be performed in cost and memory that scale essentially linearly with the number of data
H. Harbrecht   +3 more
openalex   +4 more sources

Kernel algebras and generalized Fourier-Mukai transforms

open access: greenJournal of Noncommutative Geometry, 2008
We introduce and study kernel algebras , i.e., algebras in the category of sheaves on a square of a scheme, where the latter category is equipped with a monoidal structure via a natural convolution operation. We show that many interesting categories, such as D-modules, equivariant sheaves and their twisted versions,
Alexander Polishchuk
openalex   +5 more sources

Kernel function and quantum algebras

open access: green, 2010
20 pages,
Boris Feigin   +4 more
openalex   +4 more sources

Sobolev algebras through heat kernel estimates [PDF]

open access: yesJournal de l’École polytechnique — Mathématiques, 2015
On a doubling metric measure space $(M,d,\mu)$ endowed with a "carr\'e du champ", let $\mathcal{L}$ be the associated Markov generator and $\dot L^{p}_\alpha(M,\mathcal{L},\mu)$ the corresponding homogeneous Sobolev space of order $0 0}$ for the spaces $\
F. Bernicot, T. Coulhon, D. Frey
semanticscholar   +5 more sources

On the Associative Algebra Kernels and Obstruction

open access: green, 2018
The theory of abstract kernels in non-trivial extensions for many kinds of algebraical objects, such as groups, rings and graded rings, associative algebras, Lie algebras, restricted Lie algebras, DG-algebras and DG-Lie algebras, has been widely studied since 1940's. Gerhard Hochschild firstly treats associative algebra as an generic type in the series
Zelong Li
openalex   +4 more sources

On the Heat Kernel of the Bergmann Metric on Algebraic Varieties [PDF]

open access: bronzeJournal of the American Mathematical Society, 1995
Let \(M\) be an algebraic variety in a complex projective space, and \(\Sigma_M\) the singular set of \(M\). The restriction of the Fubini-Study metric of the projective space to the non-singular part \(M/\Sigma_M\) is called Bergmann metric. This is an incomplete Kähler metric, if \(\Sigma_M\neq \phi\). The authors prove that the Laplacian on \(M\) is
Peter Li, Gang Tian
openalex   +3 more sources

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