Edit Profile (opens in new tab) Verblunsky, Samuel Author ID: verblunsky.samuel Published as: Verblunsky, Samuel; Verblunsky, S. External Links: MGP · Wikidata · IdRef Documents Indexed: 122 Publications since 1930, including 2 Books Co-Authors 122 single-authored all top 5 Serials 34 Proceedings of the London Mathematical Society. Second Series 33 Proceedings of the Cambridge Philosophical Society 16 Journal of the London Mathematical Society 8 Proceedings of the London Mathematical Society. Third Series 5 The Quarterly Journal of Mathematics. Oxford Second Series 4 Fundamenta Mathematicae 3 Bulletin des Sciences Mathématiques. Deuxième Série 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Acta Mathematica 2 Journal of the London Mathematical Society. Second Series 2 The Quarterly Journal of Mathematics. Oxford Series 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Indian Journal of Mathematics 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society all top 5 Fields 5 Harmonic analysis on Euclidean spaces (42-XX) 3 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 207 times in 158 Documents Cited by ▼ Year ▼ On positive harmonic functions. II. Zbl 0013.15702Verblunsky, Samuel 23 1935 On positive harmonic functions: A contribution to the algebra of Fourier series. JFM 60.1131.02Verblunsky, S. 21 1934 On positive harmonie functions. JFM 61.0523.01Verblunsky, S. 14 1935 On the shortest path through a number of points. Zbl 0044.15801Verblunsky, Samuel 12 1951 On an expansion in exponential series. Zbl 0072.06401Verblunsky, Samuel 9 1956 On the limit of a function at a point. Zbl 0001.20701Verblunsky, Samuel 8 1931 On positive harmonic functions: A contribution to the algebra of Fourier series. Zbl 0010.16202Verblunsky, Samuel 8 1934 On the Peano derivatives. Zbl 0209.36401Verblunsky, Samuel 8 1971 On a descriptive definition of Cesàro-Perron integrals. Zbl 0208.32204Verblunsky, Samuel 7 1971 The relation between Riemann’s method of summation and Cesàro’s. JFM 56.0207.03Verblunsky, S. 6 1930 On the theory of trigonometric series. II. Zbl 0006.25603Verblunsky, Samuel 6 1932 On some classes of Fourier series. Zbl 0006.05301Verblunsky, Samuel 5 1932 Note on the sum of an oscillating series. I, II. JFM 56.0248.01Verblunsky, S. 4 1930 On a class of differential-difference equations. Zbl 0072.09001Verblunsky, Samuel 4 1956 On a class of integral functions. Zbl 0079.29403Verblunsky, Samuel 4 1957 On a class of Cauchy exponential series. Zbl 0102.28801Verblunsky, Samuel 4 1961 On Green’s formula. Zbl 0035.15403Verblunsky, Samuel 4 1949 Two moment problems for bounded functions. Zbl 0063.08040Verblunsky, Samuel 3 1946 On the theory of trigonometric series. I. Zbl 0006.05302Verblunsky, Samuel 3 1932 On the least number of unit circles which can cover a square. Zbl 0036.11903Verblunsky, Samuel 3 1949 On the parametric representation of bounded functions. JFM 62.0282.01Verblunsky, S. 2 1936 Solution of a moment problem for bounded functions. JFM 62.0484.02Verblunsky, S. 2 1936 The Cesàro summation of trigonometric series. JFM 58.0273.01Verblunsky, S. 2 1932 The generalized third derivative and its application to the theory of trigonometric series. JFM 56.0249.02Verblunsky, S. 2 1930 Sur une classe de séries exponentielles de Cauchy. Zbl 0057.30302Verblunsky, Samuel 2 1952 Some theorems on F. A. series. Zbl 0057.30401Verblunsky, Samuel 2 1954 On some biorthogonal systems. II. Zbl 0127.06602Verblunsky, Samuel 2 1965 The Cesaro summation of trigonometric series. Zbl 0004.10803Verblunsky, Samuel 2 1932 On the theory of trigonometric series. VI. Zbl 0010.25701Verblunsky, Samuel 2 1934 On the initial moments of a bounded function. Zbl 0029.04801Verblunsky, Samuel 2 1947 A theorem on quartic polynomials. Zbl 0039.01305Verblunsky, Samuel 2 1950 On the Fourier constants of a bounded function. JFM 62.0485.01Verblunsky, S. 1 1936 On a class of perfect sets. JFM 61.0269.02Verblunsky, S. 1 1935 On positive harmonic functions in a half-plane. JFM 61.0523.02Verblunsky, S. 1 1935 On the theory of trigonometric series. VII. JFM 60.0987.01Verblunsky, S. 1 1934 On some classes of Fourier series. JFM 58.1066.15Verblunsky, S. 1 1932 On summable trigonometric series. JFM 56.0249.01Verblunsky, S. 1 1930 Robert Mark Gabriel. Zbl 0079.00512Verblunsky, Samuel 1 1958 On an expansion in exponential series. II. Zbl 0089.04302Verblunsky, Samuel 1 1959 A uniqueness theorem for the exponential series of Herglotz. Zbl 0096.04802Verblunsky, Samuel 1 1960 A uniqueness theorem for the exponential series of Herglotz. II. Zbl 0108.06403Verblunsky, Samuel 1 1962 On a class of Cauchy exponential series. II. Zbl 0112.29601Verblunsky, Samuel 1 1962 The generalized fourth derivati ve. Zbl 0001.33001Verblunsky, Samuel 1 1931 On some classes of Fourier series. [Proc. London Math. Soc., II. Ser. 33, 287-327 (1932)]. Zbl 0006.16201Verblunsky, Samuel 1 1932 On the theory of trigonometric series. V. Zbl 0008.31002Verblunsky, Samuel 1 1933 On the theory of trigonometric series. VII. Zbl 0010.01904Verblunsky, Samuel 1 1934 Trigonometric integrals and harmonic functions. Zbl 0010.06001Verblunsky, Samuel 1 1934 On a class of perfect sets. Zbl 0012.40102Verblunsky, Samuel 1 1935 On positive harmonic functions in a half.plane. Zbl 0013.15801Verblunsky, Samuel 1 1935 Solution of a moment problem for bounded functions. Zbl 0014.15302Verblunsky, Samuel 1 1936 On the parametric representation of bounded functions. Zbl 0015.25502Verblunsky, Samuel 1 1936 Inequalities for the derivatives of a bounded harmonic function. Zbl 0030.05601Verblunsky, Samuel 1 1948 A theorem on positive harmonic functions. Zbl 0033.06304Verblunsky, Samuel 1 1949 Sur les fonctions preharmoniques. Zbl 0034.36303Verblunsky, Samuel 1 1949 A theorem on cubic polynomials. Zbl 0038.01003Verblunsky, Samuel 1 1950 On a class of integral operators. Zbl 0153.16001Verblunsky, Samuel 1 1967 On a class of integral operators. II. Zbl 0153.16002Verblunsky, Samuel 1 1966 On a class of biorthogonal expansions. Zbl 0153.16101Verblunsky, Samuel 1 1966 On a problem of moments. Zbl 0040.20802Verblunsky, Samuel 1 1949 On a fundamental formula of potential theory. Zbl 0042.10602Verblunsky, Samuel 1 1951 On the Peano derivatives. Zbl 0209.36401Verblunsky, Samuel 8 1971 On a descriptive definition of Cesàro-Perron integrals. Zbl 0208.32204Verblunsky, Samuel 7 1971 On a class of integral operators. Zbl 0153.16001Verblunsky, Samuel 1 1967 On a class of integral operators. II. Zbl 0153.16002Verblunsky, Samuel 1 1966 On a class of biorthogonal expansions. Zbl 0153.16101Verblunsky, Samuel 1 1966 On some biorthogonal systems. II. Zbl 0127.06602Verblunsky, Samuel 2 1965 A uniqueness theorem for the exponential series of Herglotz. II. Zbl 0108.06403Verblunsky, Samuel 1 1962 On a class of Cauchy exponential series. II. Zbl 0112.29601Verblunsky, Samuel 1 1962 On a class of Cauchy exponential series. Zbl 0102.28801Verblunsky, Samuel 4 1961 A uniqueness theorem for the exponential series of Herglotz. Zbl 0096.04802Verblunsky, Samuel 1 1960 On an expansion in exponential series. II. Zbl 0089.04302Verblunsky, Samuel 1 1959 Robert Mark Gabriel. Zbl 0079.00512Verblunsky, Samuel 1 1958 On a class of integral functions. Zbl 0079.29403Verblunsky, Samuel 4 1957 On an expansion in exponential series. Zbl 0072.06401Verblunsky, Samuel 9 1956 On a class of differential-difference equations. Zbl 0072.09001Verblunsky, Samuel 4 1956 Some theorems on F. A. series. Zbl 0057.30401Verblunsky, Samuel 2 1954 Sur une classe de séries exponentielles de Cauchy. Zbl 0057.30302Verblunsky, Samuel 2 1952 On the shortest path through a number of points. Zbl 0044.15801Verblunsky, Samuel 12 1951 On a fundamental formula of potential theory. Zbl 0042.10602Verblunsky, Samuel 1 1951 A theorem on quartic polynomials. Zbl 0039.01305Verblunsky, Samuel 2 1950 A theorem on cubic polynomials. Zbl 0038.01003Verblunsky, Samuel 1 1950 On Green’s formula. Zbl 0035.15403Verblunsky, Samuel 4 1949 On the least number of unit circles which can cover a square. Zbl 0036.11903Verblunsky, Samuel 3 1949 A theorem on positive harmonic functions. Zbl 0033.06304Verblunsky, Samuel 1 1949 Sur les fonctions preharmoniques. Zbl 0034.36303Verblunsky, Samuel 1 1949 On a problem of moments. Zbl 0040.20802Verblunsky, Samuel 1 1949 Inequalities for the derivatives of a bounded harmonic function. Zbl 0030.05601Verblunsky, Samuel 1 1948 On the initial moments of a bounded function. Zbl 0029.04801Verblunsky, Samuel 2 1947 Two moment problems for bounded functions. Zbl 0063.08040Verblunsky, Samuel 3 1946 On the parametric representation of bounded functions. JFM 62.0282.01Verblunsky, S. 2 1936 Solution of a moment problem for bounded functions. JFM 62.0484.02Verblunsky, S. 2 1936 On the Fourier constants of a bounded function. JFM 62.0485.01Verblunsky, S. 1 1936 Solution of a moment problem for bounded functions. Zbl 0014.15302Verblunsky, Samuel 1 1936 On the parametric representation of bounded functions. Zbl 0015.25502Verblunsky, Samuel 1 1936 On positive harmonic functions. II. Zbl 0013.15702Verblunsky, Samuel 23 1935 On positive harmonie functions. JFM 61.0523.01Verblunsky, S. 14 1935 On a class of perfect sets. JFM 61.0269.02Verblunsky, S. 1 1935 On positive harmonic functions in a half-plane. JFM 61.0523.02Verblunsky, S. 1 1935 On a class of perfect sets. Zbl 0012.40102Verblunsky, Samuel 1 1935 On positive harmonic functions in a half.plane. Zbl 0013.15801Verblunsky, Samuel 1 1935 On positive harmonic functions: A contribution to the algebra of Fourier series. JFM 60.1131.02Verblunsky, S. 21 1934 On positive harmonic functions: A contribution to the algebra of Fourier series. Zbl 0010.16202Verblunsky, Samuel 8 1934 On the theory of trigonometric series. VI. Zbl 0010.25701Verblunsky, Samuel 2 1934 On the theory of trigonometric series. VII. JFM 60.0987.01Verblunsky, S. 1 1934 On the theory of trigonometric series. VII. Zbl 0010.01904Verblunsky, Samuel 1 1934 Trigonometric integrals and harmonic functions. Zbl 0010.06001Verblunsky, Samuel 1 1934 On the theory of trigonometric series. V. Zbl 0008.31002Verblunsky, Samuel 1 1933 On the theory of trigonometric series. II. Zbl 0006.25603Verblunsky, Samuel 6 1932 On some classes of Fourier series. Zbl 0006.05301Verblunsky, Samuel 5 1932 On the theory of trigonometric series. I. Zbl 0006.05302Verblunsky, Samuel 3 1932 The Cesàro summation of trigonometric series. JFM 58.0273.01Verblunsky, S. 2 1932 The Cesaro summation of trigonometric series. Zbl 0004.10803Verblunsky, Samuel 2 1932 On some classes of Fourier series. JFM 58.1066.15Verblunsky, S. 1 1932 On some classes of Fourier series. [Proc. London Math. Soc., II. Ser. 33, 287-327 (1932)]. Zbl 0006.16201Verblunsky, Samuel 1 1932 On the limit of a function at a point. Zbl 0001.20701Verblunsky, Samuel 8 1931 The generalized fourth derivati ve. Zbl 0001.33001Verblunsky, Samuel 1 1931 The relation between Riemann’s method of summation and Cesàro’s. JFM 56.0207.03Verblunsky, S. 6 1930 Note on the sum of an oscillating series. I, II. JFM 56.0248.01Verblunsky, S. 4 1930 The generalized third derivative and its application to the theory of trigonometric series. JFM 56.0249.02Verblunsky, S. 2 1930 On summable trigonometric series. JFM 56.0249.01Verblunsky, S. 1 1930 all cited Publications top 5 cited Publications all top 5 Cited by 179 Authors 11 Simon, Barry 5 Bosanquet, Lancelot Stephen 4 Bingham, Nicholas Hugh 4 Jurkat, Wolfgang B. 4 Lukic, Milivoje 3 Dergachev, A. V. 3 Dette, Holger 3 Dumitrescu, Adrian 3 Goes, Günther 2 Anderson, Clifford H. 2 Boivin, André 2 Breuer, Jonathan 2 Burkill, H. 2 Chen, Ke 2 Daros, Carlos H. 2 Fejzić, Hajrudin 2 Georgakis, Constantine 2 Gesztesy, Fritz 2 Hyslop, J. M. 2 Inoue, Akihiko 2 Kasahara, Yukio 2 Khrushchev, Sergey 2 Mulzer, Wolfgang Johann Heinrich 2 Putinar, Mihai 2 Rogosinski, Werner Wolfgang 2 Sedletskiĭ, Anatoliĭ Mechislavovich 2 Tomecki, Dominik 2 Tóth, Csaba D. 2 Verblunsky, Samuel 2 Zeitouni, Ofer 2 Zhong, Hualiang 2 Zinchenko, Maxim 2 Zlatoš, Andrej 1 Alonso, Laurent 1 Aloupis, Greg 1 Andersen, C. H. 1 Anderson, Johnston A. 1 Andrienko, Vitaly Afanasevich 1 Antes, Heinz 1 Aronszajn, Nachman 1 Arsove, Maynard G. 1 Babcock, Bruce S. 1 Barba, Luis Felipe 1 Berkson, Earl 1 Blecher, David P. 1 Bose, Manoj Kumar 1 Bracciali, Cleonice Fátima 1 Brown, Gavin 1 Bruckner, Andrew M. 1 Budišić, Marko 1 Bullen, Peter S. 1 Cafagna, Vittorio 1 Carmi, Paz 1 Carmona, Joan Josep 1 Castillo, Kenier 1 Caterina, Gianluca 1 Chandgotia, Nishant 1 Chedjou, Jean Chamberlain 1 Chrestenson, Hubert E. 1 Christiansen, Jacob Stordal 1 Civin, Paul 1 Colbrook, Matthew J. 1 Craven, Bruce Desmond 1 Cufí i Sobregrau, Julià 1 Damanik, David 1 Das, A. G. 1 Deift, Percy A. 1 Derevyagin, Maxim S. 1 Devinatz, Allen 1 Donoghue, William F. jun. 1 Dujmović, Vida 1 Eichinger, Benjamin 1 Fenton, Peter C. 1 Franceschetti, Anna 1 Frati, Fabrizio 1 Gamkrelidze, Revaz Valerianovich 1 Gehring, Frederick William 1 Georgiou, John C. 1 Geronimo, Jeffrey S. 1 Geronimus, Yakov Lazarevich 1 Ghizzetti, Aldo 1 Gillespie, Thomas Alastair 1 Goddyn, Luis A. 1 Golinskii, Leonid Borisovich 1 Görlich, Ernst 1 Grünbaum, Francisco Alberto 1 Gupta, Dharma P. 1 Hammersley, John Michael 1 Hedberg, Torbjörn 1 Hellund, Emil J. 1 Hewitt, Edwin 1 Holden, Helge 1 Holtz, Olga 1 Huber, Alfred 1 Its, Alexander Rudolfovich 1 Jabali, Ola 1 James, Ralph Duncan 1 Jeuris, Ben 1 Jiang, Minghui 1 Kang, Kingston ...and 79 more Authors all top 5 Cited in 74 Serials 14 Transactions of the American Mathematical Society 13 Mathematische Zeitschrift 9 Journal of Mathematical Analysis and Applications 7 Journal of Approximation Theory 6 Communications in Mathematical Physics 6 Proceedings of the American Mathematical Society 5 Mathematical Notes 4 Advances in Mathematics 3 Analysis Mathematica 3 Bulletin of the Australian Mathematical Society 3 Moscow University Mathematics Bulletin 3 Journal of Computational and Applied Mathematics 3 Journal of Soviet Mathematics 3 Real Analysis Exchange 3 Siberian Mathematical Journal 2 Journal d’Analyse Mathématique 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematische Annalen 2 Mathematika 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Acta Mathematica Hungarica 2 Constructive Approximation 2 Computational Geometry 2 Numerical Algorithms 2 Journal of Mathematical Sciences (New York) 2 Annals of Mathematics. Second Series 2 Kodai Mathematical Seminar Reports 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Advances in Applied Probability 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Wave Motion 1 Arkiv för Matematik 1 Mathematics Magazine 1 Acta Mathematica 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Tôhoku Mathematical Journal. Second Series 1 Statistics & Probability Letters 1 Probability Theory and Related Fields 1 Discrete & Computational Geometry 1 Journal of Theoretical Probability 1 SIAM Journal on Discrete Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 St. Petersburg Mathematical Journal 1 Top 1 Engineering Analysis with Boundary Elements 1 Electronic Journal of Probability 1 Mathematical Problems in Engineering 1 Journal of Inequalities and Applications 1 Journal of the Australian Mathematical Society 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 Iranian Journal of Fuzzy Systems 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin of the American Mathematical Society 1 Physical Review, II. Series 1 Proceedings of the Japan Academy 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Journal of Geometric Mechanics 1 Probability Surveys 1 Journal of Spectral Theory 1 British Journal for the History of Mathematics all top 5 Cited in 36 Fields 54 Harmonic analysis on Euclidean spaces (42-XX) 21 Real functions (26-XX) 19 Operator theory (47-XX) 12 Functions of a complex variable (30-XX) 11 Probability theory and stochastic processes (60-XX) 7 Special functions (33-XX) 7 Ordinary differential equations (34-XX) 6 Combinatorics (05-XX) 5 Sequences, series, summability (40-XX) 5 Functional analysis (46-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Partial differential equations (35-XX) 4 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Statistics (62-XX) 4 Numerical analysis (65-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 Potential theory (31-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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