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＜電子ブック＞
Commutative Harmonic Analysis I : General Survey. Classical Aspects / edited by V.P. Khavin, N.K. Nikol'skij
(Encyclopaedia of Mathematical Sciences ; 15)

版	1st ed. 1991.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1991
本文言語	英語
大きさ	X, 270 p : online resource
冊子体	General survey, classical aspects / V.P. Khavin, N.K. Nikolʹskij, (eds.) ; : gw,: us
著者標目	Khavin, V.P editor Nikol'skij, N.K editor SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Topological groups LCSH:Lie groups FREE:Functional Analysis FREE:Topological Groups and Lie Groups
一般注記	I. Methods and Structure of Commutative Harmonic Analysis -- II. Classical Themes of Fourier Analysis -- III. Methods of the Theory of Singular Integrals: Hilbert Transform and Calderón-Zygmund Theory -- Author Index This volume is the first in the series devoted to the commutative harmonic analysis, a fundamental part of the contemporary mathematics. The fundamental nature of this subject, however, has been determined so long ago, that unlike in other volumes of this publication, we have to start with simple notions which have been in constant use in mathematics and physics. Planning the series as a whole, we have assumed that harmonic analysis is based on a small number of axioms, simply and clearly formulated in terms of group theory which illustrate its sources of ideas. However, our subject cannot be completely reduced to those axioms. This part of mathematics is so well developed and has so many different sides to it that no abstract scheme is able to cover its immense concreteness completely. In particular, it relates to an enormous stock of facts accumulated by the classical "trigonometric" harmonic analysis. Moreover, subjected to a general mathematical tendency of integration and diffusion of conventional intersubject borders, harmonic analysis, in its modem form, more and more rests on non-translation invariant constructions. For example, one ofthe most signifi­ cant achievements of latter decades, which has substantially changed the whole shape of harmonic analysis, is the penetration in this subject of subtle techniques of singular integral operators Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-3-662-02732-5

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