Results 41 to 50 of about 165,472 (304)
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
doaj +1 more source
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
core +3 more sources
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
doaj +1 more source
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
core +2 more sources
The Poisson Kernel for Hardy Algebras [PDF]
Complex Analysis and Operator Theory, 2008 This note contributes to a circle of ideas that we have been developing recently in which we view certain abstract operator algebras $H^{\infty}(E)$, which we call Hardy algebras, and which are noncommutative generalizations of classical $H^{\infty}$, as spaces of functions defined on their spaces of representations.
Muhly, Paul S., Solel, Baruch
openaire +2 more sources
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
doaj +1 more source
Sobolev algebras through heat kernel estimates [PDF]
Journal de l’École polytechnique — Mathématiques, 2016 On a doubling metric measure space (M,d,μ) endowed with a “carré du champ”, let ℒ be the associated Markov generator and L ˙ α p (M,ℒ,μ) the corresponding homogeneous Sobolev space of order 0<α<1 in L p , 1<p<+∞, with norm ∥ℒ α/2 f∥ p . We give sufficient conditions on the heat semigroup (e -tℒ ) t>0 for the spaces L ˙ α p (M,ℒ,μ)∩L ...
Bernicot, Frédéric +2 more
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source