Non-radial functions, nonlocal operators and Markov processes over p-adic numbers

The main goal of this article is to study a new class of nonlocal operators and the Cauchy problem for certain parabolic-type pseudodifferential equations naturally associated with them. The fundamental solutions of these equations are transition functions of Markov processes on an n-dimensional...

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Autor principal:	Leonardo Fabio Chacón-Cortés, Oscar Francisco Casas-Sánchez
Formato:	article
Lenguaje:	EN ES
Publicado:	Pontificia Universidad Javeriana 2019
Materias:	: markov processes; non-archimedean analysis; nonlocal operators; p-adic numbers. Science (General) Q1-390
Acceso en línea:	https://doaj.org/article/429f991133234843a608b6179acd6150
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spelling	oai:doaj.org-article:429f991133234843a608b6179acd61502021-11-16T15:42:51ZNon-radial functions, nonlocal operators and Markov processes over p-adic numbers10.11144/Javeriana.SC24-2.nrfn0122-74832027-1352https://doaj.org/article/429f991133234843a608b6179acd61502019-08-01T00:00:00Zhttps://revistas.javeriana.edu.co/index.php/scientarium/article/view/23321https://doaj.org/toc/0122-7483https://doaj.org/toc/2027-1352The main goal of this article is to study a new class of nonlocal operators and the Cauchy problem for certain parabolic-type pseudodifferential equations naturally associated with them. The fundamental solutions of these equations are transition functions of Markov processes on an n-dimensional vector space over the p-adic numbers. We also study some properties of these Markov processes, including the first passage time problem. Leonardo Fabio Chacón-Cortés, Oscar Francisco Casas-SánchezPontificia Universidad Javerianaarticle: markov processes; non-archimedean analysis; nonlocal operators; p-adic numbers.Science (General)Q1-390ENESUniversitas Scientiarum, Vol 24, Iss 1, Pp 381-406 (2019)
institution	DOAJ
collection	DOAJ
language	EN ES
topic	: markov processes; non-archimedean analysis; nonlocal operators; p-adic numbers. Science (General) Q1-390
spellingShingle	: markov processes; non-archimedean analysis; nonlocal operators; p-adic numbers. Science (General) Q1-390 Leonardo Fabio Chacón-Cortés, Oscar Francisco Casas-Sánchez Non-radial functions, nonlocal operators and Markov processes over p-adic numbers
description	The main goal of this article is to study a new class of nonlocal operators and the Cauchy problem for certain parabolic-type pseudodifferential equations naturally associated with them. The fundamental solutions of these equations are transition functions of Markov processes on an n-dimensional vector space over the p-adic numbers. We also study some properties of these Markov processes, including the first passage time problem.
format	article
author	Leonardo Fabio Chacón-Cortés, Oscar Francisco Casas-Sánchez
author_facet	Leonardo Fabio Chacón-Cortés, Oscar Francisco Casas-Sánchez
author_sort	Leonardo Fabio Chacón-Cortés, Oscar Francisco Casas-Sánchez
title	Non-radial functions, nonlocal operators and Markov processes over p-adic numbers
title_short	Non-radial functions, nonlocal operators and Markov processes over p-adic numbers
title_full	Non-radial functions, nonlocal operators and Markov processes over p-adic numbers
title_fullStr	Non-radial functions, nonlocal operators and Markov processes over p-adic numbers
title_full_unstemmed	Non-radial functions, nonlocal operators and Markov processes over p-adic numbers
title_sort	non-radial functions, nonlocal operators and markov processes over p-adic numbers
publisher	Pontificia Universidad Javeriana
publishDate	2019
url	https://doaj.org/article/429f991133234843a608b6179acd6150
work_keys_str_mv	AT leonardofabiochaconcortesoscarfranciscocasassanchez nonradialfunctionsnonlocaloperatorsandmarkovprocessesoverpadicnumbers
_version_	1718426295212179456

Non-radial functions, nonlocal operators and Markov processes over p-adic numbers

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