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Anglický jazyk
Pontryagin Duality
Autor: Lambert M. Surhone
High Quality Content by WIKIPEDIA articles! 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... Viac o knihe
Na objednávku
175.85 €
bežná cena: 185.10 €
O knihe
High Quality Content by WIKIPEDIA articles! 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.
- Vydavateľstvo: OmniScriptum
- Rok vydania: 2026
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9786130338497
