Results 11 to 20 of about 1,119,199 (236)
Yang–Baxter algebras, convolution algebras, and Grassmannians [PDF]
Russian Mathematical Surveys, 2020 This paper surveys a new actively developing direction in contemporary mathematics which connects quantum integrable models with the Schubert calculus for quiver varieties: there is a purely geometric construction of solutions to the Yang–Baxter equation
V. Gorbounov +2 more
semanticscholar +4 more sources
Isomorphisms of algebras of convolution operators [PDF]
Annales scientifiques de l'École Normale Supérieure, 2018 For $p,q\in [1,\infty)$, we study the isomorphism problem for the $p$- and $q$-convolution algebras associated to locally compact groups. While it is well known that not every group can be recovered from its group von Neumann algebra, we show that this ...
Eusebio Gardella, Hannes Thiel
semanticscholar +3 more sources
Convolution Algebras: Relational Convolution, Generalised Modalities and Incidence Algebras
Logical Methods in Computer Science, 2021 Convolution is a ubiquitous operation in mathematics and computing. The Kripke semantics for substructural and interval logics motivates its study for quantale-valued functions relative to ternary relations. The resulting notion of relational convolution leads to generalised binary and unary modal operators for qualitative and quantitative models, and ...
Dongol, Brijesh +2 more
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An efficient deep learning model for brain tumour detection with privacy preservation
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman +8 more
wiley +1 more source
ISOMETRIES BETWEEN QUANTUM CONVOLUTION ALGEBRAS [PDF]
The Quarterly Journal of Mathematics, 2012 Given locally compact quantum groups $\G_1$ and $\G_2$, we show that if the convolution algebras $L^1(\G_1)$ and $L^1(\G_2)$ are isometrically isomorphic as algebras, then $\G_1$ is isomorphic either to $\G_2$ or the commutant $\G_2'$. Furthermore, given an isometric algebra isomorphism $ :L^1(\G_2) \rightarrow L^1(\G_1)$, the adjoint is a ...
Daws, Matthew, Pham, Hung Le
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Amenability of Convolution Algebras.
MATHEMATICA SCANDINAVICA, 1996 The amenability of the Banach algebra \(\ell^1(G)\) of a discrete semigroup \(G\), and its implications for the structure of \(G\) has been much studied over recent years. In this paper, we investigate implications of amenability of the algebras \(M(G)\), \(M(G)^{**}\) and \(LUC(G)^*\) on the structure of \(G\) for locally compact \(G\).
Lau, A.T.-M., Loy, R.J.
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High Performance and Portable Convolution Operators for Multicore Processors [PDF]
Symposium on Computer Architecture and High Performance Computing, 2020 The considerable impact of Convolutional Neural Networks on many Artificial Intelligence tasks has led to the development of various high performance algorithms for the convolution operator present in this type of networks.
Pablo San Juan +4 more
semanticscholar +1 more source
Which amalgams are convolution algebras? [PDF]
Proceedings of the American Mathematical Society, 1985 We determine necessary and sufficient conditions on a locally compact abelian group G G for the amalgam ( L p , l q )
Stewart, James, Watson, Saleem
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Representation of spectra of algebras of block-symmetric analytic functions of bounded type
Karpatsʹkì Matematičnì Publìkacìï, 2016 The paper contains a description of symmetric convolution of the algebra of block-symmetric analytic functions of bounded type on $\ell_{1}$-sum of the space $\mathbb{C}^{2}.$ We show that the specrum of such algebra does not coincide of point evaluation
V.V. Kravtsiv, A.V. Zagorodnyuk
doaj +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2013 The representation of convolution Gevrey algebra of ultradistributions as commutant of the $n$-parametric strongly continuous semigroup of shifts in algebra of linear and continuous mappings over the space of ultradifferentiable Gevrey functions with ...
A. V. Solomko
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