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Item Details
Title: ANALYSIS
SPACES OF DIFFERENTIABLE FUNCTIONS
Volume: v. 3
By: Sergei M. Nikol'skii (Editor), Jaak Peetre (Trans)
Format: Hardback

List price: £109.99


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ISBN 10: 3540518665
ISBN 13: 9783540518662
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 20 December, 1990
Edition: 1991 ed.
Series: Encyclopaedia of Mathematical Sciences v.26
Pages: 221
Translated from: Russian
Description: Presents both the historical development and the current state of the art of the theory of imbedding of function spaces. All definitions and main theorem formulations needed to understand the modern literature on spaces of differentiable functions are included.
Synopsis: 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.
Illustrations: biography
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Non-returnable
Some other items by this author:
ANALYSIS (PB)
APPROXIMATION OF FUNCTIONS OF SEVERAL VARIABLES AND IMBEDDING THEOREMS (PB)
COMMUTATIVE HARMONIC ANALYSIS (HB)
COMMUTATIVE HARMONIC ANALYSIS (PB)
EDGAR KRAHN, 1894-1961 (PB)
FUNCTION SPACES AND APPLICATIONS (PB)
FUNCTION SPACES ON SUBSETS OF RN (PB)
INTERPOLATION SPACES AND ALLIED TOPICS IN ANALYSIS (PB)
ORTHOGONAL SERIES AND APPROXIMATION OF FUNCTIONS (PB)
SEMIGROUPS AND AUTOMATA (HB)
SEVERAL COMPLEX VARIABLES (PB)
THEORY AND APPLICATIONS OF DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES (PB)
THEORY AND APPLICATIONS OF DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES (PB)
THEORY AND APPLICATIONS OF DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES IX (PB)
THEORY AND APPLICATIONS OF DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES VI (PB)
THEORY AND APPLICATIONS OF DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES VII (PB)
THEORY AND APPLICATIONS OF DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES X (PB)
THEORY AND APPLICATIONS OF DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES XI (PB)
TREATISE ON THE SHIFT OPERATOR (HB)

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