Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Anatoly N. Kochubei"'
Autor:
Anatoly N. Kochubei, Yuri Kondratiev
Publikováno v:
Mathematics, Vol 7, Iss 7, p 615 (2019)
We consider the Cauchy problem ( D ( k ) u ) ( t ) = λ u ( t ) , u ( 0 ) = 1 , where D ( k ) is the general convolutional derivative introduced in the paper (A. N. Kochubei, Integral Equations Oper. Theory 71 (2011), 583−600), λ > 0 . The solutio
Externí odkaz:
https://doaj.org/article/7a8beb66d6d74800b87158f9715fd409
Autor:
Anatoly N. Kochubei
Devoted to counterparts of classical structures of mathematical analysis in analysis over local fields of positive characteristic, this book treats positive characteristic phenomena from an analytic viewpoint. Building on the basic objects introduced
Autor:
Anatoly N. Kochubei
Publikováno v:
Journal of Pseudo-Differential Operators and Applications. 14
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3c5dbf02f8706ab6cff4a4e82a267fde
https://doi.org/10.1007/s11868-023-00525-7
https://doi.org/10.1007/s11868-023-00525-7
In earlier papers (A. N. Kochubei, Pacif. J. Math., 269 (2014), 355-369; J. Math. Anal. Appl.483 (2020), Article 123609), one of the authors developed a theory of pseudo-differential equations for radial real-valued functions on a non-Archimedean loc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::500e90fbe8f2dd2122fe4154f7befb86
http://arxiv.org/abs/2203.06623
http://arxiv.org/abs/2203.06623
Autor:
Anatoly N. Kochubei, Yuri Kondratiev
Publikováno v:
Journal of Spectral Theory. 10:991-1006
We find classes of nonlocal operators of Schrodinger type on a locally compact noncompact Abelian group G, for which there exists a ground state. In particular, such a result is obtained for the case where the principal part of our operator generates
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc434c7b62b9a72173d32c834dd3b270
https://doi.org/10.4171/jst/319
https://doi.org/10.4171/jst/319
Autor:
Anatoly N. Kochubei
Let $$D^{\alpha }$$ be the Vladimirov–Taibleson fractional differentiation operator acting on complex-valued functions on a non-Archimedean local field. The identity $$D^{\alpha }D^{-\alpha }f=f$$ was known only for the case where f has a compact s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81804508a58018cd772baf735cdf11ce
In this paper, the long-time behavior of the Cesaro mean of the fundamental solution for fractional Heat equation corresponding to random time changes in the Brownian motion is studied. We consider both stable subordinators leading to equations with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49809ce5fbf882d285cb2d519407d459
https://doi.org/10.1515/fca-2021-0004
https://doi.org/10.1515/fca-2021-0004
Autor:
Anatoly N. Kochubei
Publikováno v:
Integral Equations and Operator Theory. 92
In an earlier paper (A. N. Kochubei, {\it Pacif. J. Math.} 269 (2014), 355--369), the author considered a restriction of Vladimirov's fractional differentiation operator $D^\alpha$, $\alpha >0$, to radial functions on a non-Archimedean field. In part
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7d76cc4e176e275d2c7bbdb781350b9
https://doi.org/10.1007/s00020-020-02604-6
https://doi.org/10.1007/s00020-020-02604-6
Autor:
Anatoly N. Kochubei, Yuri Kondratiev
We introduce an infinite-dimensional $p$-adic affine group and construct its irreducible unitary representation. Our approach follows the one used by Vershik, Gelfand and Graev for the diffeomorphism group, but with modifications made necessary by th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46af1f384461315ee891d8dbca92aaaf
https://pub.uni-bielefeld.de/record/2944205
https://pub.uni-bielefeld.de/record/2944205
Autor:
Andrei Khrennikov, Anatoly N. Kochubei
Publikováno v:
Applicable Analysis. 99:1425-1435
We prove the local solvability of the p-adic analog of the Navier–Stokes equation. This equation describes, within the p-adic model of porous medium, the flow of a fluid in capillaries.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f2c9e342bf40f864538357d89bc91f6
https://doi.org/10.1080/00036811.2018.1533120
https://doi.org/10.1080/00036811.2018.1533120