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Approximation Of Functions Of Several Variables And Imbedding Theorems
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Book Synopsis Approximation of Functions of Several Variables and Imbedding Theorems by : S.M. Nikol'skii
Download or read book Approximation of Functions of Several Variables and Imbedding Theorems written by S.M. Nikol'skii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Approximation of Functions of Several Variables and Imbedding Theorems by : S. M. Nikol'skii
Download or read book Approximation of Functions of Several Variables and Imbedding Theorems written by S. M. Nikol'skii and published by Springer. This book was released on 1975 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation of Functions of Several Variables and Embedding Theorems by : Mikhailovich Nikolskii
Download or read book Approximation of Functions of Several Variables and Embedding Theorems written by Mikhailovich Nikolskii and published by . This book was released on 1971 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of embeddings of classes of differentiable functions of several variables has been intensively expanded during the past two decades, and a number of its fundamental problems have been resolved. But till now these results are to be found in journal articles. This book presents the complete theory of embeddings of the main classes (W(sub p sup r), H(sub p sup r), B(sub p theta sup r), L(sub p sup r)) of differentiable functions given for the entire n-dimensional space R sub n. The reader will find in the book the inequalities between partial derivatives in the various contexts that have found application in mathematical physics. Emphasis is placed on problems of compactness, integral representations of functions of these classes, and problems of the isomorphisms of these classes. In the book the author chiefly employs the method of approximation with exponential type integral functions and trigonometric polymonials. The theory of approximation suitably adapted for these ends is set forth at the outset of the volume. Use of the Bessel-Macdonald integral operator is also essential. The reader will even find in the book remarks given without proof on the embedding of classes of differentiable functions specified for the domains G belongs to R sup n. The reader must be familiar with the fundamentals of Lesbesgue integral theory. The book widely employs the concept of the generalized function, but it is clarified with proofs to the extent that this is necessary. (Author).
Book Synopsis Theory and Applications of Differentiable Functions of Several Variables by :
Download or read book Theory and Applications of Differentiable Functions of Several Variables written by and published by American Mathematical Soc.. This book was released on 1994 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection is the 14th in an ongoing series on differentiable functions of several variables, presenting recent contributions to a line of research begun by Sobolev in 1950. The papers study various spaces of differentiable functions of several real variables in Euclidean space, their imbeddings, equivalent normings, weighted estimates of derivatives, and traces on sets. Several questions of approximation in function spaces on the line, on a hyperboloid, and on Lobachevsky space are studied. Investigations of bilinear approximations are applied to estimates of the singular numbers of integral operators and widths. The authors also examine the asymptotics of the spectrum of elliptic systems, as well as the Dirichlet variational problem for a degenerate elliptic operator. Finally, a block method of solving Laplace's equation for nonanalytic boundary conditions is developed.
Book Synopsis Theory and Applications of Differentiable Functions of Several Variables by : Lev Dmitrievich Kudri︠a︡vt︠s︡ev
Download or read book Theory and Applications of Differentiable Functions of Several Variables written by Lev Dmitrievich Kudri︠a︡vt︠s︡ev and published by American Mathematical Soc.. This book was released on 1994 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory and Applications of Differentiable Functions of Several Variables by :
Download or read book Theory and Applications of Differentiable Functions of Several Variables written by and published by American Mathematical Soc.. This book was released on 1975 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory and Applications of Differentiable Functions of Several Variables by : Sergeĭ Mikhaĭlovich Nikolʹskiĭ
Download or read book Theory and Applications of Differentiable Functions of Several Variables written by Sergeĭ Mikhaĭlovich Nikolʹskiĭ and published by American Mathematical Soc.. This book was released on 1988 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Investigations on the Theory of Functions of Several Real Variables and the Approximation of Functions by : Sergeĭ Lʹvovich Sobolev
Download or read book Investigations on the Theory of Functions of Several Real Variables and the Approximation of Functions written by Sergeĭ Lʹvovich Sobolev and published by . This book was released on 1987 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory and Applications of Differentiable Functions of Several Variables by :
Download or read book Theory and Applications of Differentiable Functions of Several Variables written by and published by American Mathematical Soc.. This book was released on 1987 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory and Applications of Differentiable Functions of Several Variables by :
Download or read book Theory and Applications of Differentiable Functions of Several Variables written by and published by American Mathematical Soc.. This book was released on 1994 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores various topical trends in the theory of differentiable functions of several real variables and its applications. Among the subjects covered are: imbedding of various spaces of differentiable functions defined on sets in Euclidean space, on a sphere, and in a polydisc; approximation of functions; estimates for the norms of various integral operators in weighted space; conditions for stabilization of a function to a polynomial; sufficient conditions for multipliers; construction of unconditional bases in anisotropic spaces; existence of entire solutions for quasilinear equations; and establishment of an asymptotic formula for the kernels of powers of the resolvent of elliptic operators.
Book Synopsis Theory and Applications of Differentiable Functions of Several Variables by : S. M. Nikol'skii
Download or read book Theory and Applications of Differentiable Functions of Several Variables written by S. M. Nikol'skii and published by American Mathematical Soc.. This book was released on 1990 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory and Applications of Differentiable Functions of Several Variables by :
Download or read book Theory and Applications of Differentiable Functions of Several Variables written by and published by American Mathematical Soc.. This book was released on 1990 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Academ Steklov Institute Of Math Publisher :American Mathematical Soc. ISBN 13 :9780821818886 Total Pages :310 pages Book Rating :4.8/5 (188 download)
Book Synopsis Approximation of Functions in the Mean by : Academ Steklov Institute Of Math
Download or read book Approximation of Functions in the Mean written by Academ Steklov Institute Of Math and published by American Mathematical Soc.. This book was released on 1970-03 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Classical and Modern Analysis by : Martha Abell
Download or read book Topics in Classical and Modern Analysis written by Martha Abell and published by Springer Nature. This book was released on 2019-10-21 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Different aspects of harmonic analysis, complex analysis, sampling theory, approximation theory and related topics are covered in this volume. The topics included are Fourier analysis, Padè approximation, dynamical systems and difference operators, splines, Christoffel functions, best approximation, discrepancy theory and Jackson-type theorems of approximation. The articles of this collection were originated from the International Conference in Approximation Theory, held in Savannah, GA in 2017, and organized by the editors of this volume.
Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel
Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multivariate Approximation by : V. Temlyakov
Download or read book Multivariate Approximation written by V. Temlyakov and published by Cambridge University Press. This book was released on 2018-07-19 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained presentation of multivariate approximation from classical linear approximation to contemporary nonlinear approximation.
Book Synopsis Functions Of Several Real Variables by : Martin Moskowitz
Download or read book Functions Of Several Real Variables written by Martin Moskowitz and published by World Scientific Publishing Company. This book was released on 2011-04-29 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, differentiation and integration. All topics and in particular, differentiation and integration, are treated in depth and with mathematical rigor. The classical theorems of differentiation and integration such as the Inverse and Implicit Function theorems, Lagrange's multiplier rule, Fubini's theorem, the change of variables formula, Green's, Stokes' and Gauss' theorems are proved in detail and many of them with novel proofs. The authors develop the theory in a logical sequence building one result upon the other, enriching the development with numerous explanatory remarks and historical footnotes. A number of well chosen illustrative examples and counter-examples clarify matters and teach the reader how to apply these results and solve problems in mathematics, the other sciences and economics.Each of the chapters concludes with groups of exercises and problems, many of them with detailed solutions while others with hints or final answers. More advanced topics, such as Morse's lemma, Sard's theorem , the Weierstrass approximation theorem, the Fourier transform, Vector fields on spheres, Brouwer's fixed point theorem, Whitney's embedding theorem, Picard's theorem, and Hermite polynomials are discussed in stared sections.
