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## de Branges de Bourcia, Louis

Compute Distance To:
 Author ID: de-branges.louis Published as: de Branges, L.; de Branges, Louis Homepage: https://www.math.purdue.edu/~branges External Links: MGP · Wikidata · GND · MacTutor
 Documents Indexed: 79 Publications since 1958, including 4 Books Biographic References: 12 Publications

#### Co-Authors

 68 single-authored 4 Rovnyak, James 4 Trutt, David 2 Bolstein, Richard 1 Gohberg, Israel 1 Shulman, Lawrence
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#### Serials

 30 Journal of Mathematical Analysis and Applications 6 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 5 Journal of Functional Analysis 5 Bulletin of the American Mathematical Society 3 Duke Mathematical Journal 3 Integral Equations and Operator Theory 2 Canadian Journal of Mathematics 1 Acta Mathematica 1 Advances in Mathematics 1 American Journal of Mathematics 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Bulletin of the American Mathematical Society. New Series 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Operator Theory: Advances and Applications
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#### Fields

 28 Functional analysis (46-XX) 14 Functions of a complex variable (30-XX) 13 Operator theory (47-XX) 5 Number theory (11-XX) 3 Special functions (33-XX) 2 Mathematical logic and foundations (03-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX)

#### Citations contained in zbMATH Open

68 Publications have been cited 1,269 times in 815 Documents Cited by Year
Hilbert spaces of entire functions. Zbl 0157.43301
de Branges, Louis
1968
A proof of the Bieberbach conjecture. Zbl 0573.30014
de Branges, Louis
1985
Square summable power series. Zbl 0153.39602
de Branges, Louis; Rovnyak, James
1966
Canonical models in quantum scattering theory. Zbl 0203.45101
de Branges, Louis; Rovnyak, J.
1966
Some Hilbert spaces of entire functions. II. Zbl 0100.06901
de Branges, Louis
1961
Some Hilbert spaces of entire functions. Zbl 0094.04705
de Branges, Louis
1960
Some Hilbert spaces of entire functions. IV. Zbl 0109.04703
de Branges, Louis
1962
Some Hilbert spaces of analytic functions. I. Zbl 0115.33501
de Branges, Louis
1963
Perturbations of self-adjoint transformations. Zbl 0134.11801
de Branges, Louis
1962
Some Hilbert spaces of entire functions. III. Zbl 0112.30101
de Branges, Louis
1961
The Stone-Weierstraß theorem. Zbl 0092.11801
de Branges, Louis
1959
Some Hilbert spaces of entire functions. Zbl 0092.07001
de Branges, Louis
1959
The Bernstein problem. Zbl 0092.06905
de Branges, Louis
1959
Some Hilbert spaces of analytic functions. II, III. Zbl 0134.12002
de Branges, Louis
1965
Complementation in Krein spaces. Zbl 0647.46027
de Branges, Louis
1988
Self-reciprocal functions. Zbl 0134.10504
de Branges, Louis
1964
Perturbations of unitary transformations. Zbl 0175.13704
de Branges, Louis; Shulman, L.
1968
Some mean squares of entire functions. Zbl 0092.06906
de Branges, Louis
1959
Tensor product spaces. Zbl 0201.44401
de Branges, Louis
1972
Factorization and invariant subspaces. Zbl 0167.13303
de Branges, Louis
1970
The expansion theorem for Hilbert spaces for entire functions. Zbl 0177.16701
de Branges, Louis
1968
The existence of invariant subspaces. Zbl 0171.34902
de Branges, Louis; Rovnyak, J.
1964
Local operators on Fourier transforms. Zbl 0079.32004
de Branges, Louis
1958
Krein spaces of analytic functions. Zbl 0666.46024
de Branges, Louis
1988
The Riemann hypothesis for Hilbert spaces of entire functions. Zbl 0602.10028
de Branges, Louis
1986
Some applications of space of entire functions. Zbl 0134.29301
de Branges, Louis
1963
Homogeneous and periodic spaces of entire functions. Zbl 0107.28302
de Branges, Louis
1962
The $$a$$-local operator problem. Zbl 0092.11102
de Branges, Louis
1959
A conjecture which implies the Riemann hypothesis. Zbl 0802.46039
de Branges, Louis
1994
The convergence of Euler products. Zbl 0768.46009
de Branges, Louis
1992
The comparison theorem for Hilbert spaces of entire functions. Zbl 0531.46020
de Branges, Louis
1983
Perturbation theory. Zbl 0405.34047
de Branges, Louis
1977
Symmetry in spaces of entire functions. Zbl 0104.29501
de Branges, Louis
1962
Some Hilbert spaces of entire functions. Zbl 0102.06003
de Branges, Louis
1961
Coefficients of modular forms. Zbl 0283.10011
de Branges, Louis
1974
Gauss spaces of entire functions. Zbl 0196.13902
de Branges, Louis
1972
A construction of Krein spaces of analytic functions. Zbl 0745.46035
de Branges, Louis
1991
Unitary linear systems whose transfer functions are Riemann mapping functions. Zbl 1056.47503
de Branges, Louis
1986
Löwner expansions. Zbl 0552.30011
de Branges, Louis
1984
Orthogonal Newton polynomials. Zbl 0466.33009
de Branges, Louis; Trutt, David
1980
Quantum Cesaro operators. Zbl 0457.47022
de Branges, Louis; Trutt, David
1978
The Riemann hypothesis for modular forms. Zbl 0188.34605
de Branges, Louis
1971
Factorization and invariant subspaces. Zbl 0182.17301
de Branges, Louis
1970
Jacobi spaces of entire functions. Zbl 0169.15503
Bolstein, Richard; de Branges, Louis
1970
Underlying concepts in the proof of the Bieberbach conjecture. Proceedings from the international congress of mathematicians, Berkeley, CA, USA, August 1986. Videotape (NTSC; 60 min. VHS). Zbl 0919.30014
de Branges, Louis
1986
Coefficient estimates. Zbl 0494.30017
de Branges, Louis
1981
The Cantor construction. Zbl 0476.04002
de Branges, Louis
1980
The Riemann mapping theorem. Zbl 0412.30031
de Branges, Louis
1978
Examples of modular forms. Zbl 0294.10017
de Branges, Louis
1974
Modular spaces of entire functions. Zbl 0318.46040
de Branges, Louis
1973
Modular expansions. Zbl 0253.46053
de Branges, Louis
1972
A proof of the Ramanujan hypothesis. Zbl 0172.10601
de Branges, Louis
1970
Meixner and Pollaczek spaces of entire functions. Zbl 0161.33502
de Branges, Louis; Trutt, David
1968
New and old problems for entire functions. Zbl 0128.30001
de Branges, Louis
1964
A comparison theorem for spaces of entire functions. Zbl 0116.28402
de Branges, Louis
1963
Invariant subspaces of nonselfadjoint transformations. Zbl 0115.33601
de Branges, Louis
1963
Factorization in Krein spaces. Zbl 0922.46020
de Branges, Louis
1994
A construction of invariant subspaces. Zbl 0830.47004
de Branges, Louis
1993
Underlying concepts in the proof of the Bieberbach conjecture. Zbl 0666.30009
de Branges, Louis
1987
The expansion theorem for Hilbert spaces of analytic functions. Zbl 0596.46018
de Branges, Louis
1984
The invariant subspace problem. Zbl 0548.47004
de Branges, Louis
1983
The Caratheodory-Fejer extension theorem. Zbl 0506.47006
de Branges, Louis
1982
Grunsky spaces of analytic functions. Zbl 0496.30009
de Branges, Louis
1981
Vectorial topology. Zbl 0423.46003
de Branges, Louis
1979
Schrödinger-Dirac spaces of entire functions. Zbl 0352.46016
de Branges, Louis
1977
Hankel spaces of entire functions. Zbl 0213.38701
de Branges, Louis
1973
Charlier spaces of entire functions. Zbl 0174.43901
de Branges, Louis; Trutt, David
1969
Entire functions and integral transforms. Zbl 0104.29406
de Branges, Louis
1962
A conjecture which implies the Riemann hypothesis. Zbl 0802.46039
de Branges, Louis
1994
Factorization in Krein spaces. Zbl 0922.46020
de Branges, Louis
1994
A construction of invariant subspaces. Zbl 0830.47004
de Branges, Louis
1993
The convergence of Euler products. Zbl 0768.46009
de Branges, Louis
1992
A construction of Krein spaces of analytic functions. Zbl 0745.46035
de Branges, Louis
1991
Complementation in Krein spaces. Zbl 0647.46027
de Branges, Louis
1988
Krein spaces of analytic functions. Zbl 0666.46024
de Branges, Louis
1988
Underlying concepts in the proof of the Bieberbach conjecture. Zbl 0666.30009
de Branges, Louis
1987
The Riemann hypothesis for Hilbert spaces of entire functions. Zbl 0602.10028
de Branges, Louis
1986
Unitary linear systems whose transfer functions are Riemann mapping functions. Zbl 1056.47503
de Branges, Louis
1986
Underlying concepts in the proof of the Bieberbach conjecture. Proceedings from the international congress of mathematicians, Berkeley, CA, USA, August 1986. Videotape (NTSC; 60 min. VHS). Zbl 0919.30014
de Branges, Louis
1986
A proof of the Bieberbach conjecture. Zbl 0573.30014
de Branges, Louis
1985
Löwner expansions. Zbl 0552.30011
de Branges, Louis
1984
The expansion theorem for Hilbert spaces of analytic functions. Zbl 0596.46018
de Branges, Louis
1984
The comparison theorem for Hilbert spaces of entire functions. Zbl 0531.46020
de Branges, Louis
1983
The invariant subspace problem. Zbl 0548.47004
de Branges, Louis
1983
The Caratheodory-Fejer extension theorem. Zbl 0506.47006
de Branges, Louis
1982
Coefficient estimates. Zbl 0494.30017
de Branges, Louis
1981
Grunsky spaces of analytic functions. Zbl 0496.30009
de Branges, Louis
1981
Orthogonal Newton polynomials. Zbl 0466.33009
de Branges, Louis; Trutt, David
1980
The Cantor construction. Zbl 0476.04002
de Branges, Louis
1980
Vectorial topology. Zbl 0423.46003
de Branges, Louis
1979
Quantum Cesaro operators. Zbl 0457.47022
de Branges, Louis; Trutt, David
1978
The Riemann mapping theorem. Zbl 0412.30031
de Branges, Louis
1978
Perturbation theory. Zbl 0405.34047
de Branges, Louis
1977
Schrödinger-Dirac spaces of entire functions. Zbl 0352.46016
de Branges, Louis
1977
Coefficients of modular forms. Zbl 0283.10011
de Branges, Louis
1974
Examples of modular forms. Zbl 0294.10017
de Branges, Louis
1974
Modular spaces of entire functions. Zbl 0318.46040
de Branges, Louis
1973
Hankel spaces of entire functions. Zbl 0213.38701
de Branges, Louis
1973
Tensor product spaces. Zbl 0201.44401
de Branges, Louis
1972
Gauss spaces of entire functions. Zbl 0196.13902
de Branges, Louis
1972
Modular expansions. Zbl 0253.46053
de Branges, Louis
1972
The Riemann hypothesis for modular forms. Zbl 0188.34605
de Branges, Louis
1971
Factorization and invariant subspaces. Zbl 0167.13303
de Branges, Louis
1970
Factorization and invariant subspaces. Zbl 0182.17301
de Branges, Louis
1970
Jacobi spaces of entire functions. Zbl 0169.15503
Bolstein, Richard; de Branges, Louis
1970
A proof of the Ramanujan hypothesis. Zbl 0172.10601
de Branges, Louis
1970
Charlier spaces of entire functions. Zbl 0174.43901
de Branges, Louis; Trutt, David
1969
Hilbert spaces of entire functions. Zbl 0157.43301
de Branges, Louis
1968
Perturbations of unitary transformations. Zbl 0175.13704
de Branges, Louis; Shulman, L.
1968
The expansion theorem for Hilbert spaces for entire functions. Zbl 0177.16701
de Branges, Louis
1968
Meixner and Pollaczek spaces of entire functions. Zbl 0161.33502
de Branges, Louis; Trutt, David
1968
Square summable power series. Zbl 0153.39602
de Branges, Louis; Rovnyak, James
1966
Canonical models in quantum scattering theory. Zbl 0203.45101
de Branges, Louis; Rovnyak, J.
1966
Some Hilbert spaces of analytic functions. II, III. Zbl 0134.12002
de Branges, Louis
1965
Self-reciprocal functions. Zbl 0134.10504
de Branges, Louis
1964
The existence of invariant subspaces. Zbl 0171.34902
de Branges, Louis; Rovnyak, J.
1964
New and old problems for entire functions. Zbl 0128.30001
de Branges, Louis
1964
Some Hilbert spaces of analytic functions. I. Zbl 0115.33501
de Branges, Louis
1963
Some applications of space of entire functions. Zbl 0134.29301
de Branges, Louis
1963
A comparison theorem for spaces of entire functions. Zbl 0116.28402
de Branges, Louis
1963
Invariant subspaces of nonselfadjoint transformations. Zbl 0115.33601
de Branges, Louis
1963
Some Hilbert spaces of entire functions. IV. Zbl 0109.04703
de Branges, Louis
1962
Perturbations of self-adjoint transformations. Zbl 0134.11801
de Branges, Louis
1962
Homogeneous and periodic spaces of entire functions. Zbl 0107.28302
de Branges, Louis
1962
Symmetry in spaces of entire functions. Zbl 0104.29501
de Branges, Louis
1962
Entire functions and integral transforms. Zbl 0104.29406
de Branges, Louis
1962
Some Hilbert spaces of entire functions. II. Zbl 0100.06901
de Branges, Louis
1961
Some Hilbert spaces of entire functions. III. Zbl 0112.30101
de Branges, Louis
1961
Some Hilbert spaces of entire functions. Zbl 0102.06003
de Branges, Louis
1961
Some Hilbert spaces of entire functions. Zbl 0094.04705
de Branges, Louis
1960
The Stone-Weierstraß theorem. Zbl 0092.11801
de Branges, Louis
1959
Some Hilbert spaces of entire functions. Zbl 0092.07001
de Branges, Louis
1959
The Bernstein problem. Zbl 0092.06905
de Branges, Louis
1959
Some mean squares of entire functions. Zbl 0092.06906
de Branges, Louis
1959
The $$a$$-local operator problem. Zbl 0092.11102
de Branges, Louis
1959
Local operators on Fourier transforms. Zbl 0079.32004
de Branges, Louis
1958
all top 5

all top 5

#### Cited in 168 Serials

 77 Journal of Mathematical Analysis and Applications 63 Integral Equations and Operator Theory 51 Journal of Functional Analysis 37 Proceedings of the American Mathematical Society 26 Journal d’Analyse Mathématique 26 Complex Analysis and Operator Theory 24 Transactions of the American Mathematical Society 20 Linear Algebra and its Applications 15 Advances in Mathematics 15 Computational Methods and Function Theory 14 St. Petersburg Mathematical Journal 13 Bulletin of the American Mathematical Society 12 Journal of Approximation Theory 12 Journal of Soviet Mathematics 11 Functional Analysis and its Applications 10 Constructive Approximation 10 Complex Variables and Elliptic Equations 9 Rocky Mountain Journal of Mathematics 8 Mathematical Notes 8 Ukrainian Mathematical Journal 8 Journal of Computational and Applied Mathematics 8 Mathematische Nachrichten 7 Inventiones Mathematicae 7 Monatshefte für Mathematik 7 Siberian Mathematical Journal 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Analysis and Mathematical Physics 6 Journal of Differential Equations 6 Indagationes Mathematicae. New Series 6 Journal of Mathematical Sciences (New York) 6 Lobachevskii Journal of Mathematics 5 Bulletin of the Australian Mathematical Society 5 Journal of Mathematical Physics 5 Annales de l’Institut Fourier 5 Applied Mathematics and Computation 5 Bulletin of the American Mathematical Society. New Series 5 Integral Transforms and Special Functions 4 Communications in Mathematical Physics 4 Israel Journal of Mathematics 4 Arkiv för Matematik 4 Acta Mathematica 4 Archiv der Mathematik 4 Proceedings of the Japan Academy. Series A 4 Results in Mathematics 4 Science China. Mathematics 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Collectanea Mathematica 3 Duke Mathematical Journal 3 Journal of Number Theory 3 Journal für die Reine und Angewandte Mathematik 3 Advances in Applied Mathematics 3 Journal of the American Mathematical Society 3 The Journal of Geometric Analysis 3 Russian Mathematics 3 Bulletin des Sciences Mathématiques 3 The Journal of Fourier Analysis and Applications 3 Abstract and Applied Analysis 3 Annals of Mathematics. Second Series 3 Acta Mathematica Sinica. English Series 2 Studia Mathematica 2 Mathematics of Computation 2 The Mathematical Intelligencer 2 Automatica 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Numerical Functional Analysis and Optimization 2 Theoretical Computer Science 2 Bulletin of the Korean Mathematical Society 2 Acta Applicandae Mathematicae 2 Bulletin of the Iranian Mathematical Society 2 Multidimensional Systems and Signal Processing 2 Geometric and Functional Analysis. GAFA 2 Historia Mathematica 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Stochastic Processes and their Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of the Egyptian Mathematical Society 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 The Ramanujan Journal 2 Annales Henri Poincaré 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 International Journal of Geometric Methods in Modern Physics 2 Mediterranean Journal of Mathematics 2 Problemy Analiza. Issues of Analysis 2 Mathematics 2 Concrete Operators 2 Open Mathematics 1 Analysis Mathematica 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Periodica Mathematica Hungarica 1 Reports on Mathematical Physics ...and 68 more Serials
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#### Cited in 49 Fields

 374 Functions of a complex variable (30-XX) 285 Operator theory (47-XX) 237 Functional analysis (46-XX) 86 Ordinary differential equations (34-XX) 58 Harmonic analysis on Euclidean spaces (42-XX) 48 Special functions (33-XX) 37 Approximations and expansions (41-XX) 34 Several complex variables and analytic spaces (32-XX) 26 Quantum theory (81-XX) 25 Number theory (11-XX) 25 Probability theory and stochastic processes (60-XX) 23 Dynamical systems and ergodic theory (37-XX) 23 Systems theory; control (93-XX) 22 Partial differential equations (35-XX) 21 Potential theory (31-XX) 17 Integral transforms, operational calculus (44-XX) 14 Real functions (26-XX) 13 Information and communication theory, circuits (94-XX) 11 History and biography (01-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 9 Combinatorics (05-XX) 9 Measure and integration (28-XX) 8 Difference and functional equations (39-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Abstract harmonic analysis (43-XX) 6 Nonassociative rings and algebras (17-XX) 6 Numerical analysis (65-XX) 5 Topological groups, Lie groups (22-XX) 4 Associative rings and algebras (16-XX) 4 Differential geometry (53-XX) 4 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 3 Integral equations (45-XX) 3 General topology (54-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 2 $$K$$-theory (19-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)

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