Results 51 to 60 of about 1,082,837 (347)
The Dunkl kernel and intertwining operator for dihedral groups
, 2020 Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists a unique linear operator called intertwining operator which intertwines between this algebra and the algebra of ...
De Bie, Hendrik, Lian, Pan
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Segal-Bargmann-Fock modules of monogenic functions [PDF]
, 2017 In this paper we introduce the classical Segal-Bargmann transform starting from the basis of Hermite polynomials and extend it to Clifford algebra-valued functions. Then we apply the results to monogenic functions and prove that the Segal-Bargmann kernel
Brackx F. +12 more
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Remarks on the range and the kernel of generalized derivation
Математичні Студії, 2022 Let $L(H)$ denote the algebra of operators on a complex infinite dimensional Hilbert space $H$ and let $\;\mathcal{J}$ denote a two-sided ideal in $L(H)$. Given $A,B\in L(H)$, define the generalized derivation $\delta_{A,B}$ as an operator on $L(H)$ by
Y. Bouhafsi +3 more
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Affine Structures on Jet and Weil Bundles [PDF]
, 2009 Weil algebra morphism induce natural transformations between Weil bundles. In some well known cases, a natural transformation is endowed with a canonical structure of affine bundle.
Blázquez-Sanz, David
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T-IDEAL AND α-IDEAL OF BP-ALGEBRAS
BarekengThis paper explores the characteristics of two distinct ideal types within BP-algebra, specifically T-ideal and -ideal. Initially, we elucidate the characteristics of the T-ideal in BP-algebra, establishing its connections with the perfect, normal, and ...
Sri Gemawati +4 more
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Construction of Discrete Symmetries Using the Pauli Algebra Form of the Dirac Equation
Physical Sciences Forum, 2023 Two equations whose variables take values in the Pauli algebra of complex quaternions are shown to be equivalent to the standard Dirac equation and its Hermitian conjugate taken together.
Avraham Nofech
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RKHS Representations for Augmented Quaternion Random Signals: Application to Detection Problems
Mathematics, 2022 The reproducing kernel Hilbert space (RKHS) methodology has shown to be a suitable tool for the resolution of a wide range of problems in statistical signal processing both in the real and complex domains.
Antonia Oya
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Batched Triangular Dense Linear Algebra Kernels for Very Small Matrix Sizes on GPUs
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.
A. Charara, D. Keyes, H. Ltaief
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Barycentric Lagrange interpolation method for solving Love’s integral equations
Boundary Value Problems, 2023 In this paper, we present a new simple method for solving two integral equations of Love’s type that have many applications, especially in electrostatic systems.
E. S. Shoukralla, B. M. Ahmed
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MOTION EQUATION AVERAGING IN POTENTIAL AUTONOMOUS SYSTEMS [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2020 Subject of Research. The paper proposes the averaging method of motion equations. In various branches of physics (mechanics, electrodynamics) and while analyzing vibration processes, we may need to average the existing equations of motion over a certain ...
Pavel P. Rymkevich +2 more
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