Boundedness of some convolution-type operators on metric measure spaces
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DOI: 10.1007/s10476-024-00030-z
Abstract: We explore boundedness properties of some natural operators of convolution type in the context of metric measure spaces. Their study is suggested by certain transformations used in computer vision. read more here.
Keywords: type operators; convolution type; metric measure; boundedness convolution ... See more keywords
Convolution-type operators in grand Lorentz spaces
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DOI: 10.1007/s13324-025-01049-7
Abstract: We introduce and study a novel grand Lorentz space—that we believe is appropriate for critical cases—that lies “between” the Lorentz–Karamata space and the recently defined grand Lorentz space from Ahmed et al. (Mediterr J Math… read more here.
Keywords: grand lorentz; lorentz spaces; convolution type; space ... See more keywords
Convolution Type $$\hbox {C}^*$$-Algebras
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00292-6
Abstract: In this paper, by using the notion of convolution types we introduce symmetric and non-symmetric convolution type $$\hbox {C}^*$$ -algebras. It is shown that any (exact) convolution type induces a (an exact) functor on the… read more here.
Keywords: type hbox; hbox; hbox algebras; convolution type ... See more keywords
Target‐level waveform inversion: a prospective application of the convolution‐type representation for the acoustic wavefield
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DOI: 10.1111/1365-2478.12703
Abstract: Nowadays, full-waveform inversion, based on fitting the measured surface data with modelled data, has become the preferred approach to recover detailed physical parameters from the subsurface. However, its application is computationally expensive for large inversion… read more here.
Keywords: inversion; target; level; waveform inversion ... See more keywords
On the compactness of convolution-type operators in Morrey spaces
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DOI: 10.1134/s0001434617090152
Abstract: In a Morrey space, the product of the convolution operator with summable kernel and the operator of multiplication by an essentially bounded function is considered. Sufficient conditions for such a product to be compact are… read more here.
Keywords: operators morrey; compactness convolution; convolution; type operators ... See more keywords
Singular Integral Equations of Convolution Type with Cosecant Kernels and Periodic Coefficients
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DOI: 10.1155/2017/6148393
Abstract: We study singular integral equations of convolution type with cosecant kernels and periodic coefficients in class . Such equations are transformed into a discrete jump problem or a discrete system of linear algebraic equations by… read more here.
Keywords: cosecant kernels; equations convolution; type cosecant; integral equations ... See more keywords
Analytic Fourier--Feynman transforms and convolution type operations associated with Gaussian processes on Wiener space
Sign Up to like & getrecommendations! Published in 2017 at "Banach Journal of Mathematical Analysis"
DOI: 10.1215/17358787-2017-0017
Abstract: In this paper we introduce the concept of a convolution type operation of functionals on Wiener space. It contains several kinds of the concepts of convolution products on Wiener space, which have been studied by… read more here.
Keywords: feynman transforms; convolution; fourier feynman; analytic fourier ... See more keywords
Integral Equations of Curvilinear Convolution Type with Hypergeometric Function in a Kernel
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DOI: 10.3103/s1066369x19090056
Abstract: We study the class of integral equations of first kind over the circumference in the complex plane. The kernels of the equations contain a Gaussian hypergeometric function and depend on the arguments ratio. This class… read more here.
Keywords: hypergeometric function; convolution; curvilinear convolution; integral equations ... See more keywords
Multivariate Approximation Using Symmetrized and Perturbed Hyperbolic Tangent-Activated Multidimensional Convolution-Type Operators
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DOI: 10.3390/axioms13110779
Abstract: In this article, we introduce, for the first time, multivariate symmetrized and perturbed hyperbolic tangent-activated convolution-type operators in three forms. We present their approximation properties, that is, their quantitative convergence to the unit operator via… read more here.
Keywords: perturbed hyperbolic; hyperbolic tangent; convolution type; tangent activated ... See more keywords