In complex analysis, de Branges's theorem, or the Bieberbach conjecture, is a theorem that gives a necessary condition on a holomorphic function in order...

proving the long-standing Bieberbach conjecture in 1984, now called de Branges's theorem. He claims to have proved several important conjectures in mathematics...

of redirect targets De Branges's theorem – Statement in complex analysis; formerly the Bieberbach conjecture Koebe quarter theorem – Statement in complex...

Clifford's theorem on special divisors (algebraic curves) Corona theorem (complex analysis) de Branges's theorem (complex analysis) De Franchis theorem (Riemann...

Unit disk graph Unit sphere De Branges's theorem S. Golab, "Quelques problèmes métriques de la géometrie de Minkowski", Trav. de l'Acad. Mines Cracovie 6...

Louis de Branges de Bourcia publishes proof of de Branges's theorem. September – Dennis Sullivan publishes proof of the No wandering domain theorem. December...

z_{1}} . The Schwarz–Ahlfors–Pick theorem provides an analogous theorem for hyperbolic manifolds. De Branges' theorem, formerly known as the Bieberbach...

hypothesis. Some of these ideas are elaborated in Lapidus (2008). Louis de Branges (1992) showed that the Riemann hypothesis would follow from a positivity...

of Bishop's theorem using the Krein–Milman theorem in an essential way, as well as the Hahn–Banach theorem: the process of Louis de Branges (1959). See...

series. In 1984 Louis de Branges proved the conjecture (for this reason, the Bieberbach conjecture is sometimes called de Branges' theorem). There is also a...

analysis, a branch of mathematics, the Koebe 1/4 theorem states the following: Koebe Quarter Theorem. The image of an injective analytic function f :...

inequalities, such as the Askey–Gasper inequality used in the proof of de Branges's theorem. Andrews, George E.; Askey, Richard; Roy, Ranjan (1999), Special...

as of September 2022[update]. The conjecture terminology may persist: theorems often enough may still be referred to as conjectures, using the anachronistic...

Vandenhoeck & Ruprecht, ISBN 978-3-525-40142-2 Hayman, W. K. (1994), "De Branges' Theorem", Multivalent functions, Cambridge Tracts in Mathematics, vol. 110...

other fields. 1985 – Louis de Branges de Bourcia proves the Bieberbach conjecture. 1986 – Ken Ribet proves Ribet's theorem. 1987 – Yasumasa Kanada, David...

Nevanlinna–Pick theorem using Hilbert space methods in terms of operator contractions. Other approaches were developed in the work of L. de Branges, and B. Sz...

half-plane. De Branges space Rolf Nevanlinna Louis de Branges. Hilbert spaces of entire functions. Prentice-Hall. p. 26. According to a theorem of Mark Krein...

}(k)|^{2}\,k\,\mathrm {d} k,} is a special case of the Plancherel theorem. These theorems can be proven using the orthogonality property. The Hankel transform...

order to find the area of a circle. 4th century - The Pappus's centroid theorem, 5th century - Zu Chongzhi established a method that would later be called...

fundamental case of Legendre polynomials. The end point cases in Pollard's theorem was established by Sagun Chanillo. Pollard, Harry; Diamond, Harold G. (1975)...

{1}{2}};2c-1,c;x)=\,{}_{2}F_{1}(c-s-{\tfrac {1}{2}},s;c;x)^{2}} was used by de Branges to prove the Bieberbach conjecture. Many of the special functions in mathematics...

verified the correctness of the proof of the Bieberbach conjecture by Louis de Branges. Nikolski, Nikolai (1995). "Distance formulae and invariant subspaces...

B. Aaranov, E. Fricain, J. Mashreghi, Weighted norm inequalities for de Branges–Rovnyak spaces and their applications, Amer. J. Math., 132(1):125-155...

was used in the final solution of the Bieberbach conjecture by Louis de Branges in 1985. Loewner worked at the University of Berlin, University of Prague...

important role in the solution of the Bieberbach conjecture by Louis de Branges in 1985. Loewner himself used his techniques in 1923 for proving the conjecture...

the theory of the de Branges–Rovnyak spaces H ( b ) {\displaystyle {\mathcal {H}}(b)} , which were first introduced in de Branges and Rovnyak. Sarason...

number 58, Academic Press, New York and London, 1974; and Fermat's last theorem, Graduate Texts in Mathematics, number 50, Springer-Verlag, New York and...

class and showed that his conjecture implied Bieberbach’s. In 1984 Louis de Branges proved Milin’s conjecture and, therefore, the Bieberbach conjecture. The...

Peccot in French) is a semester-long mathematics course given at the Collège de France. Each course is given by a mathematician under 30 years old who has...

from the Society for Industrial and Applied Mathematics in 1996 Louis de Branges de Bourcia – Professor of Mathematics, proved the Bieberbach conjecture...