Results 61 to 70 of about 1,059,681 (321)
Topological algebras of kernels
Aequationes Mathematicae, 1984 This paper is devoted to the study of a class of topological algebras, called locally convex algebras of kernels. The main result of this paper is: Let E be a locally convex space and A its locally convex algebra of kernels. Then the set of all proper closed 2-sided ideals of A coincides with the set of all closed vector subspaces of ker(h), where h is
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On the Jordan kernel of a universal enveloping algebra
Journal of Algebra, 1989 The Jordan kernel of an L-module, L being a finite dimensional Lie algebra, is the sum of all its weight subspaces under the action of L. The authors prove that the Jordan kernel of the division ring of quotients D(L) of the enveloping algebra U(L) of a finite dimensional Lie algebra L over a field k of characteristic zero is isomorphic to the group ...
Theo Moons, Ai Ooms
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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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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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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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Algebraic quantization of the closed bosonic string
, 2003 The gauge invariant observables of the closed bosonic string are quantized without anomalies in four space-time dimensions by constructing their quantum algebra in a manifestly covariant approach.
Meusburger, C., Rehren, K. -H.
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A Primer on Reproducing Kernel Hilbert Spaces [PDF]
Foundations and Trends® in Signal Processing, 2014 Reproducing kernel Hilbert spaces are elucidated without assuming prior familiarity with Hilbert spaces. Compared with extant pedagogic material, greater care is placed on motivating the definition of reproducing kernel Hilbert spaces and explaining when
J. Manton, P. Amblard
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Mapping the risk for transmission of urban schistosomiasis in the Brazilian Northeast
Geospatial Health, 2020 This is an analysis of the risk of schistosomiasis transmission in the city of Recife in the Northeast of Brazil based on the number of schistosomiasis cases (Schistosoma mansoni) registered for the period 2007-2017 together with data resulting from ...
Emília Carolle Azevedo de Oliveira +5 more
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Function kernels and divisible groupoids
AIMS Mathematics, 2022 In this paper, we introduce the notion of a function kernel which was motivated from the kernel in group theory, and we apply this notion to several algebraic structures, e.g., groups, groupoids, BCK-algebras, semigroups, leftoids.
Hee Sik Kim +2 more
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