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Jessen, Borge (b. 1907 d. 1993)

Author ID: jessen.borge Recent zbMATH articles by "Jessen, Borge"
Published as: Jessen, B.; Jessen, Borge; Jessen, Börge; Jessen, Børge
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 119 Publications since 1926, including 4 Books
1 Contribution as Editor
Biographic References: 3 Publications
Co-Authors: 18 Co-Authors with 41 Joint Publications
194 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 503 times in 408 Documents Cited by Year
Distribution functions and the Riemann zeta function. Zbl 0014.15401
Jessen, Borge; Wintner, Aurel
58
1935
Note on the differentiability of multiple integrals. Zbl 0012.05901
Jessen, B.; Marcinkiewicz, J.; Zygmund, Antoni
53
1935
Mengenfunktionen und konvexe Körper. Zbl 0018.42401
Fenchel, W.; Jessen, B.
47
1938
Mean motions and zeros of almost periodic functions. Zbl 0061.16504
Jessen, Borge; Tornehave, Hans
40
1945
Some functional equations in groups and rings. Zbl 0183.04004
Jessen, B.; Karpf, J.; Thorup, A.
37
1968
The theory of integration in a space of an infinite number of dimensions. Zbl 0010.20004
Jessen, B.
29
1934
Mean motions and values of the Riemann zeta function. Zbl 0038.23201
Borchsenius, Vibeke; Jessen, Borge
25
1948
Some limit theorems on integrals in an abstract set. Zbl 0063.07150
Sparre Andersen, Erik; Jessen, Borge
22
1946
On the approximation of Lebesgue integrals by Riemann sums. Zbl 0009.30603
Jessen, B.
20
1934
Some limit theorems on set-functions. Zbl 0031.29401
Sparre Andersen, Erik; Jessen, Borge
19
1948
Über die Werteverteilung der Riemannschen Zetafunktion. II. Mitt.: Das Verhalten der Funktion im Streifen \({1\over 2}<\sigma\leq 1\). Zbl 0003.38901
Bohr, Harald; Jessen, Börge
18
1932
On the introduction of measures in infinite product sets. Zbl 0031.01305
Sparre Andersen, Erik; Jessen, Borge
17
1948
The algebra of polytopes in affine spaces. Zbl 0398.51009
Jessen, Borge; Thorup, Anders
17
1978
The algebra of polyhedra and the Dehn-Sydler theorem. Zbl 0183.49803
Jessen, B.
16
1968
Über die Nullstellen einer analytischen fastperiodischen Funktion. Eine Verallgemeinerung der Jensenschen Formel. Zbl 0007.15604
Jessen, Börge
14
1933
Collected mathematical works. In three volumes. I. Dirichlet series, the Riemann zeta-function. II. Almost periodic functions. III. Almost periodic functions. Linear congruences. Diophantine approximations. Function theory. Addition of convex curves. Other papers. Encyclopaedia article. Supplements. Edited by Erling Følner and Børge Jessen. Zbl 0049.00105
Bohr, Harald
14
1952
Zur Algebra der Polytope. Zbl 0262.52004
Jessen, Borge
8
1972
Orthogonal icosahedra. Zbl 0156.41001
Jessen, B.
8
1967
Distribution functions and positive definite functions. Zbl 0010.05904
Bochner, Salomon; Jessen, B.
8
1934
A remark on strong differentiation in a space of infinitely many dimensions. Zbl 0039.28701
Jessen, Borge
6
1950
Eine Integrationstheorie für Funktionen unendlich vieler Veränderlichen, mit Anwendung auf das Werteverteilungsproblem für fastperiodische Funktionen, insbesondere für die Riemannsche Zetafunktion. Zbl 0005.38902
Jessen, Börge
4
1932
On two notions of independent functions. Zbl 0038.03702
Jessen, B.
4
1948
On strong differentiation. Zbl 0048.03903
Jessen, Børge
4
1952
On the distribution of the values of the Riemann zeta function. Zbl 0013.11403
Bohr, Harald; Jessen, B.
3
1936
Some aspects of the theory of almost periodic functions. Zbl 0079.10402
Jessen, Børge
3
1957
Über die Verallgemeinerungen des arithmetischen Mittels. Zbl 0001.13306
Jessen, Börge
3
1931
Mean-value theorems for the Riemann zeta-function. Zbl 0009.01501
Bohr, Harald; Jessen, B.
3
1934
Zwei Sätze über konvexe Punktmengen. Zbl 0024.28303
Jessen, Borge
3
1940
Mean motions and almost periodic functions. Zbl 0040.04002
Bohr, Harald; Jessen, Borge
3
1949
Harald Bohr. 22. April 1887 - 22. January 1951. Zbl 0043.00508
Jessen, Börge
3
1951
Über fastperiodische Bewegungen in ebenen Bereichen und auf Flächen. Zbl 0011.34602
Fenchel, W.; Jessen, B.
2
1935
On the proofs of the fundamental theorem on almost periodic functions. Zbl 0033.11801
Jessen, Borge
2
1949
A note on distribution functions. Zbl 0008.00901
Jessen, B.
2
1933
Five papers on the theory of probability. - Hopf, E.: Remarks on causality and probability. - Uhlenbeck, G. E.: The probability of position in a canonical ensemble. - Wiener, N.: Random functions. - Jessen, B.: Some analytical problems relating to probability. Bernstein, Felix: Principles of probability in natural science. Zbl 0011.12502
Hopf, E.; Uhlenbeck, G. E.; Wiener, N.; Jessen, B.; Bernstein, F.
1
1935
Über den Rauminhalt von Polyedern. Zbl 0060.34311
Jessen, Borge
1
1939
The algebra of polytopes in affine spaces. Zbl 0398.51009
Jessen, Borge; Thorup, Anders
17
1978
Zur Algebra der Polytope. Zbl 0262.52004
Jessen, Borge
8
1972
Some functional equations in groups and rings. Zbl 0183.04004
Jessen, B.; Karpf, J.; Thorup, A.
37
1968
The algebra of polyhedra and the Dehn-Sydler theorem. Zbl 0183.49803
Jessen, B.
16
1968
Orthogonal icosahedra. Zbl 0156.41001
Jessen, B.
8
1967
Some aspects of the theory of almost periodic functions. Zbl 0079.10402
Jessen, Børge
3
1957
Collected mathematical works. In three volumes. I. Dirichlet series, the Riemann zeta-function. II. Almost periodic functions. III. Almost periodic functions. Linear congruences. Diophantine approximations. Function theory. Addition of convex curves. Other papers. Encyclopaedia article. Supplements. Edited by Erling Følner and Børge Jessen. Zbl 0049.00105
Bohr, Harald
14
1952
On strong differentiation. Zbl 0048.03903
Jessen, Børge
4
1952
Harald Bohr. 22. April 1887 - 22. January 1951. Zbl 0043.00508
Jessen, Börge
3
1951
A remark on strong differentiation in a space of infinitely many dimensions. Zbl 0039.28701
Jessen, Borge
6
1950
Mean motions and almost periodic functions. Zbl 0040.04002
Bohr, Harald; Jessen, Borge
3
1949
On the proofs of the fundamental theorem on almost periodic functions. Zbl 0033.11801
Jessen, Borge
2
1949
Mean motions and values of the Riemann zeta function. Zbl 0038.23201
Borchsenius, Vibeke; Jessen, Borge
25
1948
Some limit theorems on set-functions. Zbl 0031.29401
Sparre Andersen, Erik; Jessen, Borge
19
1948
On the introduction of measures in infinite product sets. Zbl 0031.01305
Sparre Andersen, Erik; Jessen, Borge
17
1948
On two notions of independent functions. Zbl 0038.03702
Jessen, B.
4
1948
Some limit theorems on integrals in an abstract set. Zbl 0063.07150
Sparre Andersen, Erik; Jessen, Borge
22
1946
Mean motions and zeros of almost periodic functions. Zbl 0061.16504
Jessen, Borge; Tornehave, Hans
40
1945
Zwei Sätze über konvexe Punktmengen. Zbl 0024.28303
Jessen, Borge
3
1940
Über den Rauminhalt von Polyedern. Zbl 0060.34311
Jessen, Borge
1
1939
Mengenfunktionen und konvexe Körper. Zbl 0018.42401
Fenchel, W.; Jessen, B.
47
1938
On the distribution of the values of the Riemann zeta function. Zbl 0013.11403
Bohr, Harald; Jessen, B.
3
1936
Distribution functions and the Riemann zeta function. Zbl 0014.15401
Jessen, Borge; Wintner, Aurel
58
1935
Note on the differentiability of multiple integrals. Zbl 0012.05901
Jessen, B.; Marcinkiewicz, J.; Zygmund, Antoni
53
1935
Über fastperiodische Bewegungen in ebenen Bereichen und auf Flächen. Zbl 0011.34602
Fenchel, W.; Jessen, B.
2
1935
Five papers on the theory of probability. - Hopf, E.: Remarks on causality and probability. - Uhlenbeck, G. E.: The probability of position in a canonical ensemble. - Wiener, N.: Random functions. - Jessen, B.: Some analytical problems relating to probability. Bernstein, Felix: Principles of probability in natural science. Zbl 0011.12502
Hopf, E.; Uhlenbeck, G. E.; Wiener, N.; Jessen, B.; Bernstein, F.
1
1935
The theory of integration in a space of an infinite number of dimensions. Zbl 0010.20004
Jessen, B.
29
1934
On the approximation of Lebesgue integrals by Riemann sums. Zbl 0009.30603
Jessen, B.
20
1934
Distribution functions and positive definite functions. Zbl 0010.05904
Bochner, Salomon; Jessen, B.
8
1934
Mean-value theorems for the Riemann zeta-function. Zbl 0009.01501
Bohr, Harald; Jessen, B.
3
1934
Über die Nullstellen einer analytischen fastperiodischen Funktion. Eine Verallgemeinerung der Jensenschen Formel. Zbl 0007.15604
Jessen, Börge
14
1933
A note on distribution functions. Zbl 0008.00901
Jessen, B.
2
1933
Über die Werteverteilung der Riemannschen Zetafunktion. II. Mitt.: Das Verhalten der Funktion im Streifen \({1\over 2}<\sigma\leq 1\). Zbl 0003.38901
Bohr, Harald; Jessen, Börge
18
1932
Eine Integrationstheorie für Funktionen unendlich vieler Veränderlichen, mit Anwendung auf das Werteverteilungsproblem für fastperiodische Funktionen, insbesondere für die Riemannsche Zetafunktion. Zbl 0005.38902
Jessen, Börge
4
1932
Über die Verallgemeinerungen des arithmetischen Mittels. Zbl 0001.13306
Jessen, Börge
3
1931
all top 5

Cited by 497 Authors

10 Ebanks, Bruce R.
7 Laurinčikas, Antanas
6 Brzdęk, Janusz
6 Jessen, Borge
6 McMullen, Peter
5 Favorov, Sergeĭ Yur’evich
5 Mine, Masahiro
5 Schneider, Rolf G.
4 Kabbaj, Samir
4 Krickeberg, Klaus
4 Lamzouri, Youness
4 Matsumoto, Kohji
4 Ng, Che Tat
4 Stokolos, Alexander M.
4 Weil, Wolfgang
4 Xia, Jingbo
4 Zhao, Changjian
3 Almahalebi, Muaadh
3 Aribou, Youssef
3 Berezhnoĭ, Evgeniĭ Ivanovich
3 Brudnyi, Alexander
3 Chen, Jiao
3 Colesanti, Andrea
3 Debrunner, Hans E.
3 Dupont, Johan L.
3 Eid, Salah
3 Gát, György
3 Hu, TianYou
3 Kinzebulatov, Damir
3 Lam, Wai Yeung
3 Lee, Yoonbok
3 Lester, Stephen J.
3 Perfekt, Karl-Mikael
3 Ronkin, Lev Isaakovich
3 Sah, Chih-Han
3 Steuding, Jörn
3 Sucheston, Louis
3 Torbin, Grygoriy Myroslavovych
3 Varjú, Péter Pál
3 Xiong, Ge
2 Bianchi, Gabriele
2 Bombieri, Enrico
2 Böröczky, Karoly jun.
2 Bourgain, Jean
2 Breuillard, Emmanuel
2 Bru, Bernard
2 Cathelineau, Jean-Louis
2 Chen, Yung-Ming
2 Cheung, Wingsum
2 Curto, Raúl Enrique
2 Dafni, Galia
2 Doob, Joseph Leonard
2 El Ghali, Rachid
2 Gibara, Ryan
2 Grafakos, Loukas
2 Gselmann, Eszter
2 Hamieh, Alia
2 Hartman, Philip
2 He, Binwu
2 Heifetz, Aviad
2 Ihara, Yasutaka
2 Karagulyan, Grigori
2 Kholshchevnikova, Natal’ya Nikolaevna
2 Kosz, Dariusz
2 Lev, Nir
2 Lu, Guozhen
2 Macaitienė, Renata
2 Mauclaire, Jean-Loup
2 Muhly, Paul Scott
2 Nagel, Alexander
2 Nagy, Károly
2 Olbryś, Andrzej
2 Peres, Yuval
2 Pinkall, Ulrich
2 Pitman, Jim William
2 Pollicott, Mark
2 Pratsiovytyi, Mykola
2 Radziwiłł, Maksym
2 Rao, Malempati M.
2 Roncal, Luz
2 Saksman, Eero
2 Sasane, Amol J.
2 Schoenberg, Isaac Jacob
2 Si, Hang
2 Stein, Elias Menachem
2 Sun, Yijing
2 Szőkefalvi-Nagy, Béla
2 Webb, Christian
2 Weber, Michel Jean Georges
2 Wecken, Franz J.
2 Wintner, Aurel
2 Xiong, Jiawei
2 Xu, Lu
2 Xue, Qingying
2 Yang, Deane
2 Yijing, Sun
1 Abbott, Timothy G.
1 Abel, Zachary R.
1 Akbary, Amir
1 Albeverio, Sergio A.
...and 397 more Authors
all top 5

Cited in 169 Serials

20 Transactions of the American Mathematical Society
15 Proceedings of the American Mathematical Society
13 Advances in Mathematics
13 Aequationes Mathematicae
12 Mathematische Annalen
10 Archiv der Mathematik
9 Journal of Mathematical Analysis and Applications
9 Acta Mathematica
7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
6 Journal d’Analyse Mathématique
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Journal of Number Theory
6 Results in Mathematics
6 Discrete & Computational Geometry
6 The Journal of Geometric Analysis
6 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
5 Analysis Mathematica
5 Mathematical Notes
5 Mathematische Zeitschrift
5 Revista Matemática Iberoamericana
4 Israel Journal of Mathematics
4 Duke Mathematical Journal
4 Journal of Mathematical Sciences (New York)
4 Acta Mathematica Sinica. English Series
3 Lithuanian Mathematical Journal
3 Annales de l’Institut Fourier
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Manuscripta Mathematica
3 Mathematika
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Advances in Applied Mathematics
3 Ergodic Theory and Dynamical Systems
3 Acta Mathematica Hungarica
3 Historia Mathematica
3 Potential Analysis
3 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
2 Bulletin of the Australian Mathematical Society
2 Periodica Mathematica Hungarica
2 Rocky Mountain Journal of Mathematics
2 Mathematics of Computation
2 Beiträge zur Algebra und Geometrie
2 Acta Arithmetica
2 The Annals of Probability
2 Geometriae Dedicata
2 Journal of Algebra
2 Journal of Approximation Theory
2 Journal of Functional Analysis
2 Journal of the Mathematical Society of Japan
2 Journal of Pure and Applied Algebra
2 Journal of Soviet Mathematics
2 Kybernetika
2 Mathematische Nachrichten
2 Monatshefte für Mathematik
2 Proceedings of the Japan Academy. Series A
2 Siberian Mathematical Journal
2 Statistics & Probability Letters
2 Probability Theory and Related Fields
2 Journal of the American Mathematical Society
2 Linear Algebra and its Applications
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Indagationes Mathematicae. New Series
2 Theory of Probability and Mathematical Statistics
2 St. Petersburg Mathematical Journal
2 Bulletin des Sciences Mathématiques
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Bulletin of the American Mathematical Society
2 Proceedings of the Steklov Institute of Mathematics
2 Palestine Journal of Mathematics
2 Journal of Classical Analysis
2 Journal of Mathematics
2 Journal of Function Spaces
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Houston Journal of Mathematics
1 Journal of Applied Mathematics and Mechanics
1 Moscow University Mathematics Bulletin
1 Physics Letters. A
1 Psychometrika
1 Studia Mathematica
1 Arkiv för Matematik
1 Bulletin of Mathematical Biology
1 Mathematics Magazine
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Aplikace Matematiky
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Commentarii Mathematici Helvetici
1 Czechoslovak Mathematical Journal
1 Dissertationes Mathematicae
1 Functiones et Approximatio. Commentarii Mathematici
1 Fundamenta Mathematicae
1 Glasgow Mathematical Journal
1 Indiana University Mathematics Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 International Journal of Game Theory
1 Inventiones Mathematicae
1 Journal of Differential Equations
1 Journal of Geometry
1 Journal of the London Mathematical Society. Second Series
1 Journal of Mathematical Economics
...and 69 more Serials
all top 5

Cited in 50 Fields

79 Harmonic analysis on Euclidean spaces (42-XX)
75 Number theory (11-XX)
74 Convex and discrete geometry (52-XX)
61 Probability theory and stochastic processes (60-XX)
48 Measure and integration (28-XX)
35 Difference and functional equations (39-XX)
27 Functional analysis (46-XX)
21 Operator theory (47-XX)
18 Geometry (51-XX)
17 Real functions (26-XX)
14 Functions of a complex variable (30-XX)
14 Potential theory (31-XX)
14 Dynamical systems and ergodic theory (37-XX)
14 Abstract harmonic analysis (43-XX)
11 Group theory and generalizations (20-XX)
11 Topological groups, Lie groups (22-XX)
11 Partial differential equations (35-XX)
10 History and biography (01-XX)
10 Differential geometry (53-XX)
9 Several complex variables and analytic spaces (32-XX)
7 Combinatorics (05-XX)
6 Sequences, series, summability (40-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Information and communication theory, circuits (94-XX)
4 General and overarching topics; collections (00-XX)
4 Ordinary differential equations (34-XX)
4 Approximations and expansions (41-XX)
4 Manifolds and cell complexes (57-XX)
4 Statistics (62-XX)
4 Mechanics of particles and systems (70-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Category theory; homological algebra (18-XX)
3 Computer science (68-XX)
3 Quantum theory (81-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Algebraic geometry (14-XX)
2 \(K\)-theory (19-XX)
2 Special functions (33-XX)
2 General topology (54-XX)
2 Systems theory; control (93-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Numerical analysis (65-XX)
1 Optics, electromagnetic theory (78-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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