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On the Functional Calculus of Pseudo-Differential Boundary Problems

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Zum Werk Leonhard Eulers

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Abstract

The lecture falls in three parts. First we give an introduction to the calculus of pseudo-differential boundary value problems, that generalize the boundary problems for differential operators. A particularly interesting ingredient here is the singular Green operators (entering also in differential boundary problems), and the second part is concerned with some spectral results for such operators. Finally, in the third part we give an account of a calculus of “functions of an operator”. The techniques are of interest also for scattering theory (with obstacles). An appendix gives some detailed formulas.

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Author information

Authors and Affiliations

  1. Mathematics Department, Copenhagen University, Universitetsparken 5, DK-2100, Copenhagen ø, Denmark

    Gerd Grubb

Authors
  1. Gerd Grubb
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Editor information

Editors and Affiliations

  1. Institut für Philosophie, Wissenschaftstheorie, Wissenschafts- und Technikgeschichte, Technische Universität Berlin, Straße des 17. Juni 135, D 1000, Berlin 12, Deutschland

    Eberhard Knobloch

  2. Fachbereich Mathematik, Freie Universität Berlin, Arnimallee 2-6, D 1000, Berlin 33, Deutschland

    Ilppo Simo Louhivaara

  3. Fachbereich Mathematik, Technische Universität Berlin, Straße des 17. Juni 135, D 1000, Berlin 12, Deutschland

    Jörg Winkler

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© 1984 Birkhäuser Verlag Basel

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Grubb, G. (1984). On the Functional Calculus of Pseudo-Differential Boundary Problems. In: Knobloch, E., Louhivaara, I.S., Winkler, J. (eds) Zum Werk Leonhard Eulers. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7121-1_9

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  • DOI: https://doi.org/10.1007/978-3-0348-7121-1_9

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7122-8

  • Online ISBN: 978-3-0348-7121-1

  • eBook Packages: Springer Book Archive

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