IDEAS home Printed from https://ideas.repec.org/h/wsi/wschap/9789812777485_0016.html
   My bibliography  Save this book chapter

Elements of calculus of pseudodifferential operators

In: Non-Gaussian Merton-Black-Scholes Theory

Author

Listed:
  • Svetlana I. Boyarchenko

    (University of Texas at Austin, USA)

  • Sergei Z. Levendorskiĭ

    (Rostov State University of Economics, Russia)

Abstract

The following sections are included:Basics of the theory of PDO with symbols of the class $S^{m}_{1,0}(R^{n} \times R^{n})$Asymptotic summation and the composition theoremParametrix and approximate square rootBoundedness theoremThe inverse operator and the square rootOperators depending on parametersOperators with symbols holomorphic in a tube domainProofs of auxiliary technical resultsChange of variables and pricing of multi-asset contractsPricing of barrier options under Lévy-like Feller processes

Suggested Citation

  • Svetlana I. Boyarchenko & Sergei Z. Levendorskiĭ, 2002. "Elements of calculus of pseudodifferential operators," World Scientific Book Chapters, in: Non-Gaussian Merton-Black-Scholes Theory, chapter 16, pages 365-383, World Scientific Publishing Co. Pte. Ltd..
  • Handle: RePEc:wsi:wschap:9789812777485_0016
    as

    Download full text from publisher

    File URL: https://www.worldscientific.com/doi/pdf/10.1142/9789812777485_0016
    Download Restriction: Ebook Access is available upon purchase.

    File URL: https://www.worldscientific.com/doi/abs/10.1142/9789812777485_0016
    Download Restriction: Ebook Access is available upon purchase.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:wschap:9789812777485_0016. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscientific.com/page/worldscibooks .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.