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Approximation Of Functions Of Several Variables And Imbedding Theorems


Approximation Of Functions Of Several Variables And Imbedding Theorems
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Approximation Of Functions Of Several Variables And Imbedding Theorems


Approximation Of Functions Of Several Variables And Imbedding Theorems
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Author : S.M. Nikol'skii
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Approximation Of Functions Of Several Variables And Imbedding Theorems written by S.M. Nikol'skii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This English translation of my book "PribliZenie Funkcir Mnogih Peremennyh i Teoremy Vlozel1iya" is identical in content with the Rus sian original, published by "Nauka" in 1969. However, I have corrected a number of errors. I am grateful to the publishing house Springer-Verlag for making my book available to mathematicians who do not know Russian. I am also especially grateful to the translator, Professor John M. Dan skin, who has fulfilled his task with painstaking care. In doing so he has showed high qualifications both as a mathematician and as a translator of Russian, which is considered by many to be a very difficult language. The discussion in this book is restricted, for the most part, to func tions everywhere defined in n-dimensional space. The study of these questions for functions given on bounded regions requires new methods. In. connection with this I note that a new book, "Integral Represen tations of Functions and Imbedding Theorems", by O.V. Besov, V.P. Il'in, and myself, has just (May 1975) been published, by the publishing house "Nauka", in Moscow. Moscow, U.S.S.R., May 1975 S.M. Nikol'skir Translator's Note I am very grateful to Professor Nikol'skir, whose knowledge of English, which is considered by many to be a very difficult language, is excellent, for much help in achieving a correct translation of his book. And I join Professor Nikol'skir in thanking Springer-Verlag. The editing problem was considerable, and the typographical problem formidable



Approximation Of Functions Of Several Variables And Imbedding Theorems


Approximation Of Functions Of Several Variables And Imbedding Theorems
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Author : S. M. Nikol'skii
language : en
Publisher: Springer
Release Date : 1975

Approximation Of Functions Of Several Variables And Imbedding Theorems written by S. M. Nikol'skii and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Approximation theory categories.




Theory And Applications Of Differentiable Functions Of Several Variables


Theory And Applications Of Differentiable Functions Of Several Variables
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Author : Lev Dmitrievich Kudri︠a︡vt︠s︡ev
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Theory And Applications Of Differentiable Functions Of Several Variables written by Lev Dmitrievich Kudri︠a︡vt︠s︡ev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.


This book is dedicated to Sergei Mikhailovich Nikol'skii on the occasion of his eighty-fifth birthday. The collection contains new results on the following topics: approximation of functions, imbedding theory, interpolation of function spaces, convergence of series in trigonometric and general orthogonal systems, quasilinear elliptic problems, spectral theory of nonselfadjoint operators, asymptotic properties of pseudodifferential operators, and methods of approximate solution of Laplace's equation.



Theory And Applications Of Differentiable Functions Of Several Variables


Theory And Applications Of Differentiable Functions Of Several Variables
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Author : S. M. Nikol'skii
language : en
Publisher: American Mathematical Soc.
Release Date : 1990

Theory And Applications Of Differentiable Functions Of Several Variables written by S. M. Nikol'skii and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Differentiable functions categories.




Theory And Applications Of Differentiable Functions Of Several Variables


Theory And Applications Of Differentiable Functions Of Several Variables
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 1988

Theory And Applications Of Differentiable Functions Of Several Variables written by and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.




Theory And Applications Of Differentiable Functions Of Several Variables


Theory And Applications Of Differentiable Functions Of Several Variables
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Author : Sergeĭ Mikhaĭlovich Nikolʹskiĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 1987

Theory And Applications Of Differentiable Functions Of Several Variables written by Sergeĭ Mikhaĭlovich Nikolʹskiĭ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.




Multivariate Approximation


Multivariate Approximation
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Author : V. Temlyakov
language : en
Publisher: Cambridge University Press
Release Date : 2018-07-19

Multivariate Approximation written by V. Temlyakov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-19 with Computers categories.


Self-contained presentation of multivariate approximation from classical linear approximation to contemporary nonlinear approximation.



Theory Of Functions And Its Applications


Theory Of Functions And Its Applications
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Author : Lev Semenovich Pontri︠a︡gin
language : en
Publisher: American Mathematical Soc.
Release Date : 1977

Theory Of Functions And Its Applications written by Lev Semenovich Pontri︠a︡gin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.


A collection of papers and articles honoring Sergeĭ Mihaĭlovič Nikolʹskiĭ and detailing original scientific research in the theory of functions of one and several variables and the applications to differential equations.



Probability Theory Function Theory Mechanics


Probability Theory Function Theory Mechanics
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Author : I︠U︡riĭ Vasilʹevich Prokhorov
language : en
Publisher: American Mathematical Soc.
Release Date : 1990

Probability Theory Function Theory Mechanics written by I︠U︡riĭ Vasilʹevich Prokhorov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.


This is a translation of the fifth and final volume in a special cycle of publications in commemoration of the 50th anniversary of the Steklov Mathematical Institute of the Academy of Sciences in the USSR. The purpose of the special cycle was to present surveys of work on certain important trends and problems pursued at the Institute. Because the choice of the form and character of the surveys were left up to the authors, the surveys do not necessarily form a comprehensive overview, but rather represent the authors' perspectives on the important developments.



Theory Of Function Spaces Ii


Theory Of Function Spaces Ii
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Author : Hans Triebel
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-16

Theory Of Function Spaces Ii written by Hans Triebel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-16 with Juvenile Nonfiction categories.


Theory of Function Spaces II deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales of spaces cover many well-known function spaces such as Hölder-Zygmund spaces, (fractional) Sobolev spaces, Besov spaces, inhomogeneous Hardy spaces, spaces of BMO-type and local approximation spaces which are closely connected with Morrey-Campanato spaces. Theory of Function Spaces II is self-contained, although it may be considered an update of the author’s earlier book of the same title. The book’s 7 chapters start with a historical survey of the subject, and then analyze the theory of function spaces in Rn and in domains, applications to (exotic) pseudo-differential operators, and function spaces on Riemannian manifolds. ------ Reviews The first chapter deserves special attention. This chapter is both an outstanding historical survey of function spaces treated in the book and a remarkable survey of rather different techniques developed in the last 50 years. It is shown that all these apparently different methods are only different ways of characterizing the same classes of functions. The book can be best recommended to researchers and advanced students working on functional analysis. - Zentralblatt MATH