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Operator calculus for p-adic valued symbols and quantization
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. (mathematics)ORCID iD: 0000-0002-9857-0938
2009 (English)In: Rendicoti Del Seminario Matematico, ISSN 0373-1243, Vol. 67, no 2, p. 137-150Article in journal (Refereed) Published
Abstract [en]

The aim of this short review is to attract the attention of the pseudo-differentialcommunity to possibilities in the development of operator calculus for symbols (dependingon p-adic conjugate variables) taking values in fields of p-adic numbers. Essentials of thiscalculus were presented in works of the authors of this paper in order to perform p-adic valuedquantization. Unfortunately, this calculus still has not attracted a great deal of attentionfrom pure mathematicians, although it opens new and interesting domains for the theory ofpseudo-differential operators.

Place, publisher, year, edition, pages
2009. Vol. 67, no 2, p. 137-150
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:vxu:diva-7267OAI: oai:DiVA.org:vxu-7267DiVA, id: diva2:299713
Available from: 2010-02-23 Created: 2010-02-23 Last updated: 2016-05-03Bibliographically approved

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http://seminariomatematico.dm.unito.it/rendiconti/67-2/137.pdf

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Khrennikov, Andrei

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