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Monogenic plane waves and the W -functional calculus

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10317170" target="_blank" >RIV/00216208:11320/15:10317170 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1002/mma.3491" target="_blank" >http://dx.doi.org/10.1002/mma.3491</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1002/mma.3491" target="_blank" >10.1002/mma.3491</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Monogenic plane waves and the W -functional calculus

  • Original language description

    In this paper, we introduce some integral transforms that map slice monogenic functions to monogenic functions. We then show that one of these integral transforms, which is based on the Cauchy formula of slice monogenic functions, is useful to define a functional calculus depending on a parameter for n-tuples of bounded operators.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Mathematical Methods in the Applied Sciences

  • ISSN

    0170-4214

  • e-ISSN

  • Volume of the periodical

    39

  • Issue of the periodical within the volume

    Neuveden

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    13

  • Pages from-to

    412-424

  • UT code for WoS article

  • EID of the result in the Scopus database

    2-s2.0-84956927532