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Analysis III - Spaces of Differentiable Functions (Hardcover, 1991 ed.)
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Analysis III - Spaces of Differentiable Functions (Hardcover, 1991 ed.)
Series: Encyclopaedia of Mathematical Sciences, 26
Expected to ship within 10 - 15 working days
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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.
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