Results 91 to 100 of about 196,423 (195)
On a Class of h-Fourier Integral Operators
Demonstratio Mathematica, 2014 Abstract In this paper, we study the L2-boundedness and L2-compactness of a class of h-Fourier integral operators. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively tends to 0).
Chahrazed Harrat +1 more
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A Donsker Theorem for Lévy Measures [PDF]
Given n equidistant realisations of a Lévy process (Lt; t >= 0), a natural estimator for the distribution function N of the Lévy measure is constructed. Under a polynomial decay restriction on the characteristic function, a Donsker-type theorem is proved,
Markus Reiß, Richard Nickl
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A Class of Unbounded Fourier Integral Operators
Journal of Mathematical Analysis and Applications, 1998 The author constructs a class of Fourier integral operators defined by a phase function \[ \varphi(x,y,\theta):= S(x,\theta)- y\cdot \theta \] and an amplitude \(a\in S^0_{1,1}\), which cannot be extended to a bounded operator in \(L^2\).
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Structural Mechanics of Engineering Constructions and Buildings, 2015 The method of determination of the stress and strain state in the isotropic elastic half-space under given forces or displacements at the border based on the integration of differential equations by the operator method in combination with the Fourier ...
S G KUDRYAVTSEV, J M BULDAKOVA
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The geometry of supermanifolds and new supersymmetric actions
Nuclear Physics B, 2015 This is the first of two papers in which we construct the Hodge dual for supermanifolds by means of the Grassmannian Fourier transform of superforms. In this paper we introduce the fundamental concepts and a method for computing Hodge duals in simple ...
L. Castellani, R. Catenacci, P.A. Grassi
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On Fredholm property of hypersingular integral operators in special classes of functions
Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. Hypersingular integral equations on a segment that arise in many issues of mathematical physics are considered. Materials and methods. Hypersingular equations are studied in special classes of functions, which are represented by Fourier ...
Yu.G. Smirnov
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MathematicsThe article contains a study of methods for solving integral equations in the context of acoustic problems. The methodology considered is applied to describe acoustic wave propagation and scattering.
Alexander B. Samokhin +1 more
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MathematicsThis study explores efficient methods for computing eigenvalues and function values associated with Chebyshev-type prolate spheroidal wave functions (CPSWFs). Applying the expansion of the factor eicxy and the inherent properties of Chebyshev polynomials,
Yan Tian, Guidong Liu
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Water Resources ResearchIn this study, we propose a new approach for inverse modeling of hydraulic tomography (HT) using the Fourier neural operator (FNO) as a surrogate forward model. FNO is a deep learning model that directly parameterizes the integral kernel in Fourier space
Quan Guo +5 more
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On Integral Operators with Operator-Valued Kernels
Journal of Inequalities and Applications, 2010 Here, we study the continuity of integral operators with operator-valued kernels. Particularly we get estimates under some natural conditions on the kernel , where and are Banach spaces, and and are positive measure spaces: Then, we apply ...
Shahmurov Rishad
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