Zobrazeno 1 - 8 of 8 pro vyhledávání: '"Yu I Cherskii"'
1
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Autor: Yu. I. Cherskii
Publikováno v: Ukrainian Mathematical Journal. 52:1310-1314
The extremum problem for the Wiener–Hopf equation obtained by replacing the condition u(x) = 0, x < 0, by the condition of the minimum of the quadratic functional of the function u(x)exp(−x), −∞ < x < ∞, is solved in closed form.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::38d42b89aa1fd80e9653ea2454a6b8b4
https://doi.org/10.1023/a:1010369508209
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2
On the analyticity of the Fourier original and Fourier transform inside alternate angles
Autor: Yu. I. Cherskii
Publikováno v: Ukrainian Mathematical Journal. 51:781-786
We prove that a Fourier image is an analytic function inside two alternate angles if the Fourier preimage possesses the same property.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::74c63fcbe658baa5c4447df38fb3dcc2
https://doi.org/10.1007/bf02591711
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3
Integral representation of an analytic function in a ring and its applications
Autor: P. V. Kerekesha, Yu. I. Cherskii
Publikováno v: Ukrainian Mathematical Journal. 47:376-384
An integral representation of an analytic function in a ring with corresponding limit values on the boundary is obtained. A new singular integral equation is suggested and solved in quadratures by using an integral representation and by complete inve
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4f07bf6b950fa13e6d5a6ca4685698ff
https://doi.org/10.1007/bf01056299
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