Results 51 to 60 of about 161,671 (322)
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
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
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
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
Random variables and positive definite Kernels associates with the Schrodinger algebra [PDF]
, 2009 We show that the Feinsilver‐Kocik‐Schott (FKS) kernel for the Schrödinger algebra is not positive definite. We show how the FKS Schrödinger kernel can be reduced to a positive definite one through a restriction of the defining parameters of the ...
Accardi, L, Boukas, A
core +1 more source
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
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
doaj +1 more source
Elliptic Ding-Iohara Algebra and the Free Field Realization of the Elliptic Macdonald Operator [PDF]
, 2013 The Ding-Iohara algebra is a quantum algebra arising from the free field realization of the Macdonald operator. Starting from the elliptic kernel function introduced by Komori, Noumi and Shiraishi, we can define an elliptic analog of the Ding-Iohara ...
Saito, Yosuke
core
Algebraic monoids with group kernels
Semigroup Forum, 1996 Let \(M\) be an algebraic monoid, that is \(M\) be both an affine variety over an algebraically closed field \(K\) and a monoid for which the operation of multiplication \(M\times M\to M\) is an affine variety morphism. An algebraic monoid \(M\) is irreducible if it is so as an affine variety. \(M\) is regular if \(a\in aMa\) for all \(a\in M\).
openaire +2 more sources
On the heat kernel of the Bergmann metric on algebraic varieties [PDF]
Journal 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
Gang Tian, Peter Li
openaire +2 more sources