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Pseudo differential operators with negative definite functions as symbol : Applications in probability theory and mathematical physics

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Operator Calculus and Spectral Theory

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 57))

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Abstract

We discuss pseudo differential operators a(x,D) with a symbol a(x,ξ) which is with respect to ξ a continuous negative definite function. Such operators do occur in probability theory and mathematical physics.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Erlangen — Nürnberg, Bismarckstraße 1a, D-8520, Erlangen, Deutschland

    Niels Jacob

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  1. Niels Jacob
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Editor information

Editors and Affiliations

  1. Max-Planck-Arbeitsgruppe FB Mathematik, Universität Potsdam, Am Neuen Palais 10, D-O-1571, Potsdam, Germany

    Michael Demuth

  2. FB Mathematik, Universität Mainz, D-6500, Mainz, Germany

    Bernhard Gramsch

  3. AG des Max-Planck-Institutes für Mathematik »Partielle Differentialgleichungen und Komplexe Analysis«, Mohrenstr. 39, D-O-1197, Berlin, Germany

    Bert-Wolfgang Schulze

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© 1992 Springer Basel AG

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Jacob, N. (1992). Pseudo differential operators with negative definite functions as symbol : Applications in probability theory and mathematical physics. In: Demuth, M., Gramsch, B., Schulze, BW. (eds) Operator Calculus and Spectral Theory. Operator Theory: Advances and Applications, vol 57. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8623-9_12

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  • DOI: https://doi.org/10.1007/978-3-0348-8623-9_12

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9703-7

  • Online ISBN: 978-3-0348-8623-9

  • eBook Packages: Springer Book Archive

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