Pontryagin Duality kitap kapağı
Kitap başlığı:

Pontryagin Duality

Betascript Publishing (2010-06-06 )

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ISBN-13:

978-613-0-33849-7

ISBN-10:
613033849X
EAN:
9786130338497
Kitabın dili:
İngilizce
Özet:
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, in particular in harmonic analysis and the theory of topological groups, Pontryagin duality explains the general properties of the Fourier transform. It places in a unified context a number of observations about functions on the real line or on finite abelian groups: suitably regular complex-valued periodic functions on the real line have Fourier series and these functions can be recovered from their Fourier series; suitably regular complex-valued functions on the real line have Fourier transforms that are also functions on the real line and, just as for periodic functions, these functions can be recovered from their Fourier transforms; and Complex-valued functions on a finite abelian group have discrete Fourier transforms which are functions on the dual group, which is a (non-canonically) isomorphic group. Moreover any function on a finite group can be recovered from its discrete Fourier transform.
Yayınevi:
Betascript Publishing
Websitesi:
https://www.betascript-publishing.com/
Düzenleyen:
Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
Sayfa sayısı:
128
Yayın tarihi:
2010-06-06
Hisse:
Mevcut
Kategori:
Matematik
Fiyat:
45.00 €
Anahtar kelimeler:
Mathematics, harmonic analysis, Topological Group, Fourier Transform, Periodic Function, Fourier Series, Abelian Group, Discrete Fourier Transform, Lev Pontryagin, Haar Measure

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