Gardiner, Stephen J.,
Harmonic Approximation / Stephen J. Gardiner. - Cambridge : Cambridge University Press, 1995. - 1 online resource (148 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 221 . - London Mathematical Society Lecture Note Series ; no. 221. .
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.
9780511526220 (ebook)
Harmonic analysis
Approximation theory
QA403 / .G36 1995
515/.785
Harmonic Approximation / Stephen J. Gardiner. - Cambridge : Cambridge University Press, 1995. - 1 online resource (148 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 221 . - London Mathematical Society Lecture Note Series ; no. 221. .
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.
9780511526220 (ebook)
Harmonic analysis
Approximation theory
QA403 / .G36 1995
515/.785