Nikolʹskiĭ, S. M. (Sergeĭ Mikhaĭlovich) 19052012
Overview
Works:  405 works in 1,098 publications in 4 languages and 6,410 library holdings 

Genres:  Conference papers and proceedings Biography 
Roles:  Author, Editor, Honoree, Other, Dedicatee, Adapter 
Classifications:  QA1, 515.72 
Publication Timeline
.
Most widely held works about
S. M Nikolʹskiĭ
 Studies on function theory and differential equations : collected papers dedicated to the 100th birthday of academician Sergei Mikhailovich Nikol'skii( Book )
 Function theory and differential equations : collected papers dedicated to academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday( Book )
 Teorii︠a︡ funkt︠s︡iĭ i smezhnye voprosy analiza : trudy konferent︠s︡ii po teorii funkt︠s︡iĭ, posvi︠a︡shchennoĭ 80letii︠u︡ akademika Sergei︠a︡ Mikhailovicha Nikolʹskogo, Dnepropetrovsk, 29 mai︠a︡1 ii︠u︡ni︠a︡ 1985 g.( Book )
 Moĭ vek by S. M Nikolʹskiĭ( Book )
 Issledovanii︠a︡ po teorii funkt︠s︡iĭ i different︠s︡alʹnym upravlenii︠a︡m : sbornik stateĭ : k 100letii︠u︡ so dni︠a︡ rozhdenii︠a︡ akademika Sergei︠a︡ Mikhailovicha Nikolʹskogo( Book )
 Teorii︠a︡ funkt︠s︡iĭ i ee prilozhenii︠a︡ : sbornik stateĭ( Book )
 Vospominanii︠a︡ o Dnepropetrovske by S. M Nikolʹskiĭ( Book )
 Studies on function theory and differential equations : collected papers dedicated to the 100th birthday of Academician Sergei Mikhailovich Nikol'skii( Book )
 The Theory of functions and differential equations : collected papers in honor of the ninetieth birthday of Academician Serge Mikhailovich Nikol'skii( Book )
more
fewer
Most widely held works by
S. M Nikolʹskiĭ
Approximation of functions of several variables and imbedding theorems by
S. M Nikolʹskiĭ(
Book
)
19 editions published between 1969 and 1977 in 4 languages and held by 423 WorldCat member libraries worldwide
19 editions published between 1969 and 1977 in 4 languages and held by 423 WorldCat member libraries worldwide
Integral representations of functions and imbedding theorems by
O. V Besov(
Book
)
16 editions published between 1978 and 1979 in English and held by 304 WorldCat member libraries worldwide
16 editions published between 1978 and 1979 in English and held by 304 WorldCat member libraries worldwide
Theory and applications of differentiable functions of several variables by Matematicheskii institut im. V.A. Steklova(
Book
)
11 editions published between 1992 and 1994 in 3 languages and held by 274 WorldCat member libraries worldwide
11 editions published between 1992 and 1994 in 3 languages and held by 274 WorldCat member libraries worldwide
A course of mathematical analysis by
S. M Nikolʹskiĭ(
Book
)
39 editions published between 1973 and 2000 in English and Russian and held by 205 WorldCat member libraries worldwide
39 editions published between 1973 and 2000 in English and Russian and held by 205 WorldCat member libraries worldwide
Theory of functions and its applications : dedicated to Academician Sergeĭ Mihaĭlovič Nikolʹskiĭ by
L. S Pontri︠a︡gin(
Book
)
6 editions published in 1977 in English and held by 193 WorldCat member libraries worldwide
6 editions published in 1977 in English and held by 193 WorldCat member libraries worldwide
Analytic number theory, mathematical anaylsis and their applications : collection of papers dedicated to Academician Ivan
Matveevic Vinogradov on his eightyfifth birthday by N. N Bogolyubov(
Book
)
12 editions published between 1977 and 1980 in English and held by 189 WorldCat member libraries worldwide
12 editions published between 1977 and 1980 in English and held by 189 WorldCat member libraries worldwide
Analysis by
S. M Nikolʹskiĭ(
Book
)
18 editions published between 1989 and 1991 in English and Italian and held by 180 WorldCat member libraries worldwide
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
18 editions published between 1989 and 1991 in English and Italian and held by 180 WorldCat member libraries worldwide
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
Theory of numbers, mathematical analysis and their applications : collection of papers dedicated to academician Ivan Matveevic̆
Vinogradov on his eightyfifth birthday by
N. N Bogoli︠u︡bov(
Book
)
9 editions published in 1979 in English and held by 178 WorldCat member libraries worldwide
9 editions published in 1979 in English and held by 178 WorldCat member libraries worldwide
Algebra, theory of numbers and their applications by
S. M Nikolʹskiĭ(
Book
)
6 editions published between 1980 and 1981 in English and held by 172 WorldCat member libraries worldwide
6 editions published between 1980 and 1981 in English and held by 172 WorldCat member libraries worldwide
Analysis IV : linear and boundary integral equations by
V. G Mazʹi︠a︡(
Book
)
15 editions published between 1991 and 2013 in English and held by 170 WorldCat member libraries worldwide
A linear integral equation is an equation of the form XEX. (1) 2a(x)cp(x)  Ix k(x, y)cp(y)dv(y) = f(x), Here (X, v) is a measure space with afinite measure v, 2 is a complex parameter, and a, k, f are given (complexvalued) functions, which are referred to as the coefficient, the kernel, and the free term (or the righthand side) of equation (1), respectively. The problem consists in determining the parameter 2 and the unknown function cp such that equation (1) is satisfied for almost all x E X (or even for all x E X if, for instance, the integral is understood in the sense of Riemann). In the case f = 0, the equation (1) is called homogeneous, otherwise it is called inhomogeneous. If a and k are matrix functions and, accordingly, cp and f are vectorvalued functions, then (1) is referred to as a system of integral equations. Integral equations of the form (1) arise in connection with many boundary value and eigenvalue problems of mathematical physics. Three types of linear integral equations are distinguished: If 2 = 0, then (1) is called an equation of the first kind; if 2a(x) i= 0 for all x E X, then (1) is termed an equation of the second kind; and finally, if a vanishes on some subset of X but 2 i= 0, then (1) is said to be of the third kind
15 editions published between 1991 and 2013 in English and held by 170 WorldCat member libraries worldwide
A linear integral equation is an equation of the form XEX. (1) 2a(x)cp(x)  Ix k(x, y)cp(y)dv(y) = f(x), Here (X, v) is a measure space with afinite measure v, 2 is a complex parameter, and a, k, f are given (complexvalued) functions, which are referred to as the coefficient, the kernel, and the free term (or the righthand side) of equation (1), respectively. The problem consists in determining the parameter 2 and the unknown function cp such that equation (1) is satisfied for almost all x E X (or even for all x E X if, for instance, the integral is understood in the sense of Riemann). In the case f = 0, the equation (1) is called homogeneous, otherwise it is called inhomogeneous. If a and k are matrix functions and, accordingly, cp and f are vectorvalued functions, then (1) is referred to as a system of integral equations. Integral equations of the form (1) arise in connection with many boundary value and eigenvalue problems of mathematical physics. Three types of linear integral equations are distinguished: If 2 = 0, then (1) is called an equation of the first kind; if 2a(x) i= 0 for all x E X, then (1) is termed an equation of the second kind; and finally, if a vanishes on some subset of X but 2 i= 0, then (1) is said to be of the third kind
Orthogonal series and approximation of functions : collection of papers dedicated to the onehundredth birthday of Academician
N.N. Luzin(
Book
)
13 editions published between 1983 and 1986 in English and held by 168 WorldCat member libraries worldwide
13 editions published between 1983 and 1986 in English and held by 168 WorldCat member libraries worldwide
Algebraic geometry and its applications(
Book
)
11 editions published between 1984 and 1986 in English and Russian and held by 166 WorldCat member libraries worldwide
11 editions published between 1984 and 1986 in English and Russian and held by 166 WorldCat member libraries worldwide
Investigations on the theory of functions of several real variables and the approximation of functions : collection of papers(
Book
)
6 editions published in 1987 in English and held by 149 WorldCat member libraries worldwide
6 editions published in 1987 in English and held by 149 WorldCat member libraries worldwide
Theory of functions and related questions of analysis : proceedings of a conference on function theory honoring the 80th birthday
of Academician Sergeĭ Mikhaĭlovich Nikolʹskiĭ : collection of papers(
Book
)
8 editions published in 1989 in English and held by 146 WorldCat member libraries worldwide
8 editions published in 1989 in English and held by 146 WorldCat member libraries worldwide
Differential equations and function spaces : collection of papers dedicated to the memory of academician Sergei Lʹvovich Sobolev(
Book
)
6 editions published in 1992 in English and held by 145 WorldCat member libraries worldwide
6 editions published in 1992 in English and held by 145 WorldCat member libraries worldwide
Theory and applications of differentiable functions of several variables. collection of papers by
Matematicheskiĭ institut im. V.A. Steklova(
Book
)
24 editions published between 1974 and 1990 in English and held by 144 WorldCat member libraries worldwide
24 editions published between 1974 and 1990 in English and held by 144 WorldCat member libraries worldwide
Theory of functions : materials of the AllUnion School on the Theory of Functions, Amberd, October 1987 : collection of papers by AllUnion School on the Theory of Functions(
Book
)
6 editions published between 1989 and 1992 in English and held by 141 WorldCat member libraries worldwide
6 editions published between 1989 and 1992 in English and held by 141 WorldCat member libraries worldwide
Theory and applications of differentiable functions of several variables. Collection of papers(
Book
)
15 editions published between 1988 and 1990 in English and Russian and held by 91 WorldCat member libraries worldwide
15 editions published between 1988 and 1990 in English and Russian and held by 91 WorldCat member libraries worldwide
Quadrature formulae by
S. M Nikolʹskiĭ(
Book
)
7 editions published between 1964 and 1974 in English and Russian and held by 82 WorldCat member libraries worldwide
7 editions published between 1964 and 1974 in English and Russian and held by 82 WorldCat member libraries worldwide
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fewer
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Related Identities
 Besov, O. V. (Oleg Vladimirovich) 1933 Honoree Author Editor
 Bugrov, I︠A︡. S. (I︠A︡kov Stepanovich) Author
 Ilʹin, V. P. (Valentin Petrovich) 19212001
 Vinogradov, I. M. (Ivan Matveevich) 18911983 Other Editor
 Gamkrelidze, R. V. Author Editor
 Sobolev, S. L. (Sergeĭ Lʹvovich) 19081989 Other Honoree Dedicatee Editor
 Kudri︠a︡vt︠s︡ev, L. D. (Lev Dmitrievich) Other Author Editor
 Maz'ya, V. G. Author Editor
 Pontri︠a︡gin, L. S. (Lev Semenovich) 19081988 Editor
 Volkov, E. A. Editor
Useful Links
Associated Subjects
Algebra Approximation theory Asymptotic expansions Calculus Calculus, Operational CurvesRectification and quadrature Darwin, Charles, Differentiable functions Differential equations Differential equations, Partial Differential equations, PartialNumerical solutions Differential equationsNumerical solutions Embedding theorems EquationsNumerical solutions Functional analysis Functions Functions, Orthogonal Functions of real variables Functions of several complex variables Functions of several real variables Function spaces Geometry, Algebraic Global analysis (Mathematics) Integral representations Integral transforms Luzin, N. N.(Nikolaĭ Nikolaevich), Mathematical analysis Mathematicians Mathematics Nikolʹskiĭ, S. M.(Sergeĭ Mikhaĭlovich), Number theory Potential theory (Mathematics) Russia (Federation) Series, Orthogonal Soviet Union Ukraine Vinogradov, I. M.(Ivan Matveevich),
Covers
Alternative Names
Nicolʹskii, Sergei Mikhailovich 19052012
Nikolski S.
Nikolski, S. M.
Nikolski, S. M. 19052012
Nikolski, Sergei M. 19052012
Nikolski, Sergueï Mikhailovitch.
Nikolski Sergueï Mikhailovitch 1905....
Nikol'skii S.M.
Nikolʹskiĭ, S. M. 1905
Nikolʹskiĭ, S. M. 19052012
Nikolskii, S. M. (Sergei Mikhailovich), 1905
Nikolʹskiĭ, S. M. (Sergey Mikhaĭlovich), 1905
Nikolʹskiĭ, Sergeĭ M. 19052012
Nikol'skiǐ, Sergeĭ Mihaĭlovič 19052012
Nikolʹskiǐ, Sergeĭ Mikhaĭlovič 19052012
Nikolʹskiĭ, Sergeĭ Mikhaĭlovich
Nikolʹskiǐ, Sergeǐ Mikhaǐlovich 1905
Nikolʹskiĭ, Sergeĭ Mikhaĭlovich 19052012
Nikolʹskiĭ, Sergej̆ M. 19052012
Nikolʹskiĭ, Sergej̆ Mikhaĭlovich 19052012
Nikol'skiǐ, Sergey M.
Nikolʹskiĭ, Sergey M. 1905
Nikolʹskiĭ, Sergey M. (Sergey Mikhaĭlovich), 1905
Nikolskii Serguei Mikhailovich
Nikol'skij, S. M.
Nikolʹskij, S.M. 19052012
Nikolskij, Sergei Mikhailovich 19052012
Nikolʹskij, Sergej 19052012
Nikolʹskij, Sergej M. 19052012
Nikolʹskij, Sergej Michajlovič
Nikolskij, Sergej Michajlovič, 1905
Nikolʹskij, Sergej Michajlovič 19052012
Nikol'skij, Sergej Michajlovič. [t]
Nikolskij, Sergey M. 19052012
Nikoļskis, S. 1905
Nikoļskis, S. M. (Sergejs Mihailovičs), 19052012
Nikoļskis, S. (Sergejs Mihailovičs), 19052012
Nikolsky, S
Nikolsky S.M.
Nikolsky, S. M. 1905
Nikolsky, S.M. 19052012
Nikolsky, S. M. (Sergei M.), 19052012
Nikolsky, Sergei M.
Nikolsky, Sergei M. 19052012
Sergei Michailowitsch Nikolski russesche Mathematiker
Sergei Michailowitsch Nikolski russischer Mathematiker
Sergej Michailovič Nikol'skij matematico russo
Sergej Nikolski Russisch wiskundige
Sergej Nikolskij russisk matematikar
Sergej Nikolskij russisk matematiker
Sergey Nikolsky matemático ruso
Sergey Nikolsky Mathematician
Sergey Nikolsky Soviet and Russian mathematician
Sergius Nikol'skij
Sergueï Nikolski mathématicien russe
Siergiej Nikolski
Σεργκέι Νικόλσκι Ρώσος μαθηματικός
Никольский, С. М.
Никольский, С.М 19052012
Никольский, С. М. (Сергей Михайлович), 19052012
Никольский, Сергей Михайлович
Никольский, Сергей Михайлович 19052012
Нікольський Сергій Михайлович
סרגיי ניקולסקי מתמטיקאי רוסי
谢尔盖·尼科尔斯基
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