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Analysis III : Spaces of Differentiable Functions - Sergei M. Nikol'skii

Analysis III

Spaces of Differentiable Functions

By: Sergei M. Nikol'skii (Editor), Jaak Peetre (Translator)

Hardcover

Published: 9th January 1991
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In the Part at hand the authors undertake to give a presentation of the historical development of the theory of imbedding of function spaces, of the internal as well as the externals motives which have stimulated it, and of the current state of art in the field, in particular, what regards the methods employed today. The impossibility to cover all the enormous material connected with these questions inevitably forced on us the necessity to restrict ourselves to a limited circle of ideas which are both fundamental and of principal interest. Of course, such a choice had to some extent have a subjective character, being in the first place dictated by the personal interests of the authors. Thus, the Part does not constitute a survey of all contemporary questions in the theory of imbedding of function spaces. Therefore also the bibliographical references given do not pretend to be exhaustive; we only list works mentioned in the text, and a more complete bibliography can be found in appropriate other monographs. O.V. Besov, v.1. Burenkov, P.1. Lizorkin and V.G. Maz'ya have graciously read the Part in manuscript form. All their critical remarks, for which the authors hereby express their sincere thanks, were taken account of in the final editing of the manuscript.

I. Spaces of Differentiable Functions of Several Variables and Imbedding Theorems.- II. Classes of Domains, Measures and Capacities in the Theory of Differentiable Functions.- Author Index.

ISBN: 9783540518662
ISBN-10: 3540518665
Series: Encyclopaedia of Mathematical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 221
Published: 9th January 1991
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.4 x 15.6  x 1.4
Weight (kg): 0.51