Results 31 to 40 of about 54,965 (200)
Pseudo-Differential Operators Associated with the Jacobi Differential Operator
Journal of Mathematical Analysis and Applications, 1998 The authors consider pseudo-differential operators on \((0,+\infty)\), defined in terms of the Fourier-Jacobi transform: \[ (Ff)(\xi)=\widehat f(\xi)=\int^\infty_0\varphi_\xi(x)f(x)dm(x) \] where \(\varphi_\xi(x)\) is the Jacobi function and \(dm(x)\) the associated measure. Precisely, for a suitable class of symbols \(p(x,\xi)\), one sets \[ p(x,D)f(x)
Ben Salem, N., Dachraoui, A.
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The differentiation operator on discrete function spaces of a tree
, 2022 In this paper, we study the differentiation operator acting on discrete function spaces; that is spaces of functions defined on an infinite rooted tree.
Jackson, Colin M., Allen, Robert F.
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Enhanced Singular Spectrum Decomposition and Its Application to Rolling Bearing Fault Diagnosis
IEEE Access, 2019 Singular spectrum analysis (SSA) has proven to be a powerful technique for processing non-stationary signals and has been widely used in the fault diagnosis of rolling bearings. Based on the SSA, an adaptive signal decomposition algorithm called singular
Bin Pang, Guiji Tang, Tian Tian
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Glättung und Differentiation mit nur einem Operator [PDF]
, 1995 Für die Filterung und Weiterverarbeitung von stark verrauschten Kraftkurven aus Untersuchungen an isolierten Herzmuskeln ist ein Operator erprobt worden, der sich aus der Konstruktionsvorschrift von Bézierkurven herleiten läßt.
Meffert, Beate +2 more
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INVARIANT SUBSPACES IN UNBOUNDED DOMAINS
Проблемы анализа, 2021 We study subspaces of functions analytic in an unbounded convex domain of the complex plane and invariant with respect to the differentiation operator.
A. S. Krivosheev, O. A. Krivosheeva
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Computation of Pseudo-Differential Operators [PDF]
SIAM Journal on Scientific Computing, 1996 Summary: A simple algorithm is described for computing general pseudo-differential operator actions. Our approach is based on the asymptotic expansion of the symbol together with the fast Fourier transform. The idea is motivated by the characterization of the pseudo-differential operator algebra.
Gang Bao, William W. Symes
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A Fredholm integral operator for the differentiation problem
, 2022 We propose a Fredholm integral equation of the first kind to reformulate the differentiation problem. For the corresponding integral operator, we present an equation that characterizes the eigenvalues and eigenfunctions for each derivation order. For the
Giacomini, J, Maponi, P, Egidi, N
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Complete Continuity of Composition-Differentiation Operators on the Hardy Space H1
Journal of Function Spaces, 2023 We study composition-differentiation operators on the Hardy space H1 on the unit disk. We prove that if φ is an analytic self-map of the unit disk such that the composition-differentiation operator induced by φ is bounded on the Hardy space H1, then it ...
Ali Abkar
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XAD Automatic Differentiation Library
<p>AD is a comprehensive open-source C++ library for automatic differentiation by Xcelerit. It targets production-quality code at any scale, striving for both ease of use and high performance.</p> <p>Key features:</p> <ul>
Xcelerit
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Differential operators on the free algebras [PDF]
Selecta Mathematica, 2011 25 ...
Iyer, Uma N., McCune, Timothy C.
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