Real Harmonic Analysis
by Pascal Auscher, Lashi Bandara
Publisher: ANU eView 2012
ISBN-13: 9781921934087
Number of pages: 113
Description:
This book presents the material covered in graduate lectures delivered at The Australian National University in 2010. Moving from the classical periodic setting to the real line, then to higher dimensional Euclidean spaces and finally to, nowadays, sets with minimal structures, the theory has reached a high level of applicability.
Download or read it online for free here:
Download link
(940KB, PDF)
Similar books
Lectures on Mean Periodic Functionsby J.P. Kahane - Tata Institute of Fundamental Research
Mean periodic functions are a generalization of periodic functions. The book considers questions such as Fourier-series, harmonic analysis, the problems of uniqueness, approximation and quasi-analyticity, as problems on mean periodic functions.
(10953 views)
Lectures on Potential Theoryby M. Brelot - Tata Institute of Fundamental Research
In the following we shall develop some results of the axiomatic approaches to potential theory principally some convergence theorems; they may be used as fundamental tools and applied to classical case as we shall indicate sometimes.
(11166 views)
Harmonic Function Theoryby Sheldon Axler, Paul Bourdon, Wade Ramey - Springer
A book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the text. The authors have taken care to motivate concepts and simplify proofs.
(16714 views)
Contributions to Fourier Analysisby A. Zygmund, et al. - Princeton University Press
In the theory of convergence and summability, emphasis is placed on the phenomenon of localization whenever such occurs, and in the present paper a certain aspect of this phenomenon will be studied for the problem of best approximation as well.
(9401 views)