Approximation of Integral Operators Using Product-Convolution Expansions
نویسندگان
چکیده
منابع مشابه
Product - Convolution Operators and Mlxed - Norm Spaces
Conditions for boundedness and compactness of product-convolution operators g —» PhCß = h ■ (/» g) on spaces L^G) are studied. It is necessary for boundedness to define a class of "mixed-norm" spaces L,p>q){G) interpolating the Lp(G) spaces in a natural way (L^^ = Z^,). It is then natural to study the operators acting between L(/1?)(G) spaces, where G has a compact invariant neighborhood. The t...
متن کاملMax-Product Shepard Approximation Operators
In crisp approximation theory the operations that are used are only the usual sum and product of reals. We propose the following problem: are sum and product the only operations that can be used in approximation theory? As an answer to this problem we propose max-product Shepard Approximation operators and we prove that these operators have very similar properties to those provided by the crisp...
متن کاملHybrid cross approximation of integral operators
The efficient treatment of dense matrices arising, e.g., from the finite element discretisation of integral operators requires special compression techniques. In this article we use the H-matrix representation that approximates the dense stiffness matrix in admissible blocks (corresponding to subdomains where the underlying kernel function is smooth) by low-rank matrices. The low-rank matrices ...
متن کاملMultiscale Discrete Approximation of Fourier Integral Operators
Abstract. We develop a discretization and computational procedures for the approximation of the action of Fourier integral operators whose canonical relations are graphs. Such operators appear in many physical contexts and computational problems, for instance in the formulation of imaging and inverse scattering of seismic reflection data. Our discretization and algorithms are based on a multi-s...
متن کاملExact estimates of the rate of approximation of convolution operators
The paper presents a method for establishing direct and strong converse inequalities in terms of K-functionals for convolution operators acting in homogeneous Banach spaces of multivariate functions. The method is based on the behaviour of the Fourier transform of the kernel of the convolution operator. AMS classification: 41A25, 41A27, 41A35, 41A36, 41A40, 41A63, 41A65, 42A10, 42A38, 42A45, 42...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Imaging and Vision
سال: 2017
ISSN: 0924-9907,1573-7683
DOI: 10.1007/s10851-017-0714-8