IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-21659-1_2.html
   My bibliography  Save this book chapter

Properties of the Bochner–Martinelli Integral and the Logarithmic Residue Formula

In: Multidimensional Integral Representations

Author

Listed:
  • Alexander M. Kytmanov

    (Siberian Federal University, Institute of Mathematics and Computer Science)

  • Simona G. Myslivets

    (Siberian Federal University, Institute of Mathematics and Computer Science)

Abstract

In this chapter, we will consider the boundary behavior of the Bochner–Martinelli integral. Most of the statements have been collected in the book (Kytmanov, The Bochner–Martilnelli Integral and Its Applications. Birkhäuser Verlag, Basel, 1995). Some of these results can be obtained from the general theory of integral operators. But we seek to provide independent and more elementary proofs thereof. Since many of them will be used in the subsequent chapters, we decided to reproduce these in the book. The last section of this chapter contains the results of possible connection of the holomorphic continuation of functions with the homogeneous $$\bar{\partial }$$ -Neumann problem, emphasizing the relationship between the harmonic and complex analysis in $$\mathbb{C}^{n}$$ .

Suggested Citation

  • Alexander M. Kytmanov & Simona G. Myslivets, 2015. "Properties of the Bochner–Martinelli Integral and the Logarithmic Residue Formula," Springer Books, in: Multidimensional Integral Representations, edition 1, chapter 0, pages 21-74, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-21659-1_2
    DOI: 10.1007/978-3-319-21659-1_2
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:spr:sprchp:978-3-319-21659-1_2. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.