Harmonic Approximation / Stephen J. Gardiner.

By: Gardiner, Stephen J [author.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 221Publisher: Cambridge : Cambridge University Press, 1995Description: 1 online resource (148 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511526220 (ebook)Subject(s): Harmonic analysis | Approximation theoryAdditional physical formats: Print version: : No titleDDC classification: 515/.785 LOC classification: QA403 | .G36 1995Online resources: Click here to access online Summary: The subject of harmonic approximation has recently matured into a coherent research area with extensive applications. This is the first book to give a systematic account of these developments, beginning with classical results concerning uniform approximation on compact sets, and progressing through fusion techniques to deal with approximation on unbounded sets. All the time inspiration is drawn from holomorphic results such as the well-known theorems of Runge and Mergelyan. The final two chapters deal with wide-ranging and surprising applications to the Dirichlet problem, maximum principle, Radon transform and the construction of pathological harmonic functions. This book is aimed at graduate students and researchers who have some knowledge of subharmonic functions, or an interest in holomorphic approximation.
Item type: E-BOOKS
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Current library Home library Call number Materials specified URL Status Date due Barcode
IMSc Library
IMSc Library
Link to resource Available EBK12074

Title from publisher's bibliographic system (viewed on 16 Oct 2015).

The subject of harmonic approximation has recently matured into a coherent research area with extensive applications. This is the first book to give a systematic account of these developments, beginning with classical results concerning uniform approximation on compact sets, and progressing through fusion techniques to deal with approximation on unbounded sets. All the time inspiration is drawn from holomorphic results such as the well-known theorems of Runge and Mergelyan. The final two chapters deal with wide-ranging and surprising applications to the Dirichlet problem, maximum principle, Radon transform and the construction of pathological harmonic functions. This book is aimed at graduate students and researchers who have some knowledge of subharmonic functions, or an interest in holomorphic approximation.

There are no comments on this title.

to post a comment.
The Institute of Mathematical Sciences, Chennai, India

Powered by Koha