Rokhlin, V. A.
Overview
Works:  30 works in 88 publications in 5 languages and 852 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Honoree, Dedicatee, Editor, Translator, Other 
Classifications:  QA331, 517.5 
Publication Timeline
.
Most widely held works about
V. A Rokhlin
 Ueber Ketohalogenverbindungen des Phenols und der Kresole by Theodor Jilke( Book )
 Topology and geometry : Rohlin seminar by O. I︠A︡ Viro( Book )
 Remembrances of Vladimir Abramovich Rokhlin( Book )
Most widely held works by
V. A Rokhlin
Beginner's course in topology : geometric chapters by
V. A Rokhlin(
Book
)
16 editions published between 1981 and 2004 in English and Undetermined and held by 419 WorldCat member libraries worldwide
16 editions published between 1981 and 2004 in English and Undetermined and held by 419 WorldCat member libraries worldwide
Topology, ergodic theory, real algebraic geometry : Rokhlin's memorial(
Book
)
6 editions published in 2001 in English and held by 208 WorldCat member libraries worldwide
This book is dedicated to the memory of the Russian mathematician, V.A. Rokhlin (19191984). It is a collection of research papers written by his former students and followers, who are now experts in their fields
6 editions published in 2001 in English and held by 208 WorldCat member libraries worldwide
This book is dedicated to the memory of the Russian mathematician, V.A. Rokhlin (19191984). It is a collection of research papers written by his former students and followers, who are now experts in their fields
Premier cours de topologie : chapitres geometriques by
V. A Rokhlin(
Book
)
10 editions published in 1981 in 3 languages and held by 76 WorldCat member libraries worldwide
10 editions published in 1981 in 3 languages and held by 76 WorldCat member libraries worldwide
Nachalʹnyĭ kurs topologii : geometricheskie glavy by
V. A Rokhlin(
Book
)
8 editions published between 1977 and 1997 in Russian and held by 21 WorldCat member libraries worldwide
8 editions published between 1977 and 1997 in Russian and held by 21 WorldCat member libraries worldwide
On the fundamental ideas of measure theory by
V. A Rokhlin(
Book
)
4 editions published in 1952 in English and held by 16 WorldCat member libraries worldwide
4 editions published in 1952 in English and held by 16 WorldCat member libraries worldwide
Topology and geometry : Rohlin seminar by
O. I︠A︡ Viro(
Book
)
3 editions published in 1988 in English and held by 10 WorldCat member libraries worldwide
This volume is a collection of papers dedicated to the memory of V. A. Rohlin (19191984)  an outstanding mathematician and the founder of the Leningrad topological school. It includes survey and research papers on topology of manifolds, topological aspects of the theory of complex and real algebraic varieties, topology of projective configuration spaces and spaces of convex polytopes
3 editions published in 1988 in English and held by 10 WorldCat member libraries worldwide
This volume is a collection of papers dedicated to the memory of V. A. Rohlin (19191984)  an outstanding mathematician and the founder of the Leningrad topological school. It includes survey and research papers on topology of manifolds, topological aspects of the theory of complex and real algebraic varieties, topology of projective configuration spaces and spaces of convex polytopes
Ten papers on functional analysis and measure theory by
Leonid Mikhaĭlovich Abramov(
Book
)
2 editions published in 1966 in English and held by 10 WorldCat member libraries worldwide
2 editions published in 1966 in English and held by 10 WorldCat member libraries worldwide
Fifteen papers on topology and logic(
Book
)
1 edition published in 1964 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1964 in English and held by 5 WorldCat member libraries worldwide
Functional analysis and measure theory by
American Mathematical Society(
Book
)
3 editions published in 1962 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1962 in English and held by 5 WorldCat member libraries worldwide
Prolate spheroidal wave functions of order zero : mathematical tools for bandlimited approximation by
Andrei Osipov(
Book
)
3 editions published in 2013 in English and held by 5 WorldCat member libraries worldwide
Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. As such, they play an important role in signal processing, Fourier analysis, and approximation theory. While historically the numerical evaluation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any other class of special functions. As a result, PSWFs have been becoming a popular computational tool. The present book serves as a complete, selfcontained resource for both theory and computation. It will be of interest to a wide range of scientists and engineers, from mathematicians interested in PSWF as an analytical tool to electrical engineers designing filters and antennas
3 editions published in 2013 in English and held by 5 WorldCat member libraries worldwide
Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. As such, they play an important role in signal processing, Fourier analysis, and approximation theory. While historically the numerical evaluation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any other class of special functions. As a result, PSWFs have been becoming a popular computational tool. The present book serves as a complete, selfcontained resource for both theory and computation. It will be of interest to a wide range of scientists and engineers, from mathematicians interested in PSWF as an analytical tool to electrical engineers designing filters and antennas
The theory of functions by
E. C Titchmarsh(
Book
)
4 editions published between 1951 and 1980 in Russian and held by 4 WorldCat member libraries worldwide
The success which this book has achieve proves that Professor Titchmarsh was right in anticipating that the collection which he describes too modestly as consisting of 'rather disconnected introductions to various branches of the theory of functions' would be of service to students to whom the mass of existing material appeared 'rather formidable'. It proves, too, that early reviewers were right in recognizing a quality of readability in his writing; in effect, the advice given to students was: 'This is a book from which you will be able to learn how to do mathematics', and we cannot do better than repeat this advice with all the confidence that comes from knowing that it has been endorsed by those best situated to discover that it was sound, namely, the students who have followed it. Nature
4 editions published between 1951 and 1980 in Russian and held by 4 WorldCat member libraries worldwide
The success which this book has achieve proves that Professor Titchmarsh was right in anticipating that the collection which he describes too modestly as consisting of 'rather disconnected introductions to various branches of the theory of functions' would be of service to students to whom the mass of existing material appeared 'rather formidable'. It proves, too, that early reviewers were right in recognizing a quality of readability in his writing; in effect, the advice given to students was: 'This is a book from which you will be able to learn how to do mathematics', and we cannot do better than repeat this advice with all the confidence that comes from knowing that it has been endorsed by those best situated to discover that it was sound, namely, the students who have followed it. Nature
American mathematical society translations by
P. I Sobolevskiĭ(
Book
)
1 edition published in 1966 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1966 in English and held by 3 WorldCat member libraries worldwide
Izbrannye raboty : vospominanii︠a︡ o V.A. Rokhline by
V. A Rokhlin(
Book
)
2 editions published in 1999 in Russian and held by 3 WorldCat member libraries worldwide
2 editions published in 1999 in Russian and held by 3 WorldCat member libraries worldwide
A randomized algorithm for the approximation of matrices by PerGunnar Martinsson(
Book
)
3 editions published in 2006 in English and held by 2 WorldCat member libraries worldwide
Given an m * n matrix A and a positive integer k, we introduce a randomized procedure for the approximation of A with a matrix Z of rank k. The procedure relies on applying A(exp T) to a collection of l random vectors, where l is an integer equal to or slightly greater than k; the scheme is e cient whenever A and A(exp T) can be applied rapidly to arbitrary vectors. The discrepancy between A and Z is of the same order as the (k+1)(exp st) greatest singular value sigma k+1 of A, with negligible probability of even moderately large deviations. The actual estimates derived in the paper are fairly complicated, but are simpler when lk is a fixed small nonnegative integer. For example, according to one of our estimates for lk = 20, the probability that the spectral norm [vertical[verticalA Z[vertical[vertical is greater than 10 square root(k + 20)msigmak+1 is less than 10(exp 17). The paper contains a number of estimates for [vertical[verticalAZ[vertical[vertical, including several that are stronger (but more detailed) than the preceding example; some of the estimates are e ectively independent of m. Thus, given a matrix A of limited numerical rank, such that both A and AT can be applied rapidly to arbitrary vectors, the scheme provides a simple, efficient means for constructing an accurate approximation to a Singular Value Decomposition of A. Furthermore, the algorithm presented here operates reliably independently of the structure of the matrix A. The results are illustrated via several numerical examples
3 editions published in 2006 in English and held by 2 WorldCat member libraries worldwide
Given an m * n matrix A and a positive integer k, we introduce a randomized procedure for the approximation of A with a matrix Z of rank k. The procedure relies on applying A(exp T) to a collection of l random vectors, where l is an integer equal to or slightly greater than k; the scheme is e cient whenever A and A(exp T) can be applied rapidly to arbitrary vectors. The discrepancy between A and Z is of the same order as the (k+1)(exp st) greatest singular value sigma k+1 of A, with negligible probability of even moderately large deviations. The actual estimates derived in the paper are fairly complicated, but are simpler when lk is a fixed small nonnegative integer. For example, according to one of our estimates for lk = 20, the probability that the spectral norm [vertical[verticalA Z[vertical[vertical is greater than 10 square root(k + 20)msigmak+1 is less than 10(exp 17). The paper contains a number of estimates for [vertical[verticalAZ[vertical[vertical, including several that are stronger (but more detailed) than the preceding example; some of the estimates are e ectively independent of m. Thus, given a matrix A of limited numerical rank, such that both A and AT can be applied rapidly to arbitrary vectors, the scheme provides a simple, efficient means for constructing an accurate approximation to a Singular Value Decomposition of A. Furthermore, the algorithm presented here operates reliably independently of the structure of the matrix A. The results are illustrated via several numerical examples
<> by
S. P Novikov(
Book
)
2 editions published in 2009 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2009 in English and held by 2 WorldCat member libraries worldwide
Topologija i dinamika  Rohlinskij memorial : meždunarodnaja konferencija, posvjaščennaja vos'midesjatiletiju so dnja roždenija
V. A. Rohlina : tezisy dokladov by Rokhlin Memorial on Topology and Dinamics(
Book
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
Variacionnoe isčislen'ie v celom by
H Seifert(
Book
)
1 edition published in 1947 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1947 in Russian and held by 1 WorldCat member library worldwide
Approximationssätze für messbare Strömungen by
A. A Gurevic(
)
2 editions published between 1970 and 2007 in German and held by 0 WorldCat member libraries worldwide
2 editions published between 1970 and 2007 in German and held by 0 WorldCat member libraries worldwide
Über Endomorphismen kompakter kommutativer Gruppen by
V. A Rokhlin(
)
2 editions published between 1970 and 2007 in German and held by 0 WorldCat member libraries worldwide
2 editions published between 1970 and 2007 in German and held by 0 WorldCat member libraries worldwide
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Related Identities
 Fuks, D. B. Author
 Vershik, A. M. (Anatoliĭ Moiseevich) 1933 Editor
 Turaev, V. G. (Vladimir G.) 1954 Editor
 Wagenknecht, Monika Translator Contributor
 Jilke, Theodor 1878 Author
 Iacob, Andrei Translator
 Palamodov, V.P.
 Gurevic, A. A. Author
 Viro, Oleg Yanovǐc Other Editor
 Abramov, L. M.
Useful Links
Alternative Names
Rochlin, Vladimir Abramovič
Rochlin, Vladimir Abramovič 19191984
Rochlin, Vladimir Abramovič. [t]
Rochlin, Wladimir A. 19191984
Rochlin, Wladimir Abramowitsch 19191984
Rohlin
Rohlin, V.
Rohlin V. A.
Rohlin, Vladimir 19191984
Rohlin, Vladimir Abramovich 19191984
Rokhlin, V. A.
Rokhlin, V. A. 19191984
Rokhlin Vladimir Abramovic
Rokhlin, Vladimir Abramovich.
Rokhlin, Vladimir Abramovich 19191984
Rokhline Vladimir Abramovitch 19191984
Vladimir Abramovich Rokhlin mathématicien russe
Vladimir Abramovich Rokhlin Russisch wiskundige (19191984)
Vladimir Abramovich Rokhlin Soviet mathematician, working in the fields of topology, geometry and ergodic theory
Vladimir Abramovitj Rochlin rysk matematiker
Vladimir Roxlin
Wladimir Abramowitsch Rochlin russischer Mathematiker
Рохлин, Владимир Абрамович.
Рохлин, Владимир Абрамович 19191984
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