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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…
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Keywords:
type hbox;
hbox;
hbox algebras;
convolution type ... See more keywords
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Published in 2018 at "Geophysical Prospecting"
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…
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Keywords:
inversion;
target;
level;
waveform inversion ... See more keywords
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Published in 2017 at "Mathematical Notes"
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…
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Keywords:
operators morrey;
compactness convolution;
convolution;
type operators ... See more keywords
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Published in 2017 at "Mathematical Problems in Engineering"
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…
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Keywords:
cosecant kernels;
equations convolution;
type cosecant;
integral equations ... See more keywords
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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…
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Keywords:
feynman transforms;
convolution;
fourier feynman;
analytic fourier ... See more keywords
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Published in 2019 at "Russian Mathematics"
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…
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Keywords:
hypergeometric function;
convolution;
curvilinear convolution;
integral equations ... See more keywords