Eduard Zehnder - Selected Publications#


[1] Eduard Zehnder, Generalized implicit function theorems with applications to some small divisor problems I, II.
Commmunications on Pure and Applied Mathematics 28 (1975), 91-140; 29 (1976), 49-111.

[2] Herbert Amann, Eduard Zehnder, Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations.
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 7 (1980) no. 4, pp. 539--603.

[3] Charles Cameron Conley, Eduard Zehnder, The Birkhoff--Lewis fixed point theorem and a conjecture of V.I. Arnolʹd.
Inventiones Mathematicae 73 (1983), 33–49.

[4] Charles Cameron Conley, Eduard Zehnder, Morse-type index theory for flows and periodic solutions for Hamiltonian equations.
Commmunications on Pure and Applied Mathematics 37 (1984), 207–253.

[5] Helmut Hofer, Eduard Zehnder, Periodic solutions on hypersurfaces and a result by C. Viterbo.
Inventiones Mathematicae 90 (1987), 1-9.

[6]] Helmut Hofer, Eduard Zehnder, A new capacity for symplectic manifolds.
Analysis et cetera, Academic Press, 1990, pp 405-427.

[7] Dietmar Salamon, Eduard Zehnder, Morse theory for periodic solutions of Hamiltonian systems and the Maslov index.
Commmunications on Pure and Applied Mathematics 45 (1992), 1303-1360.

[8] Helmut Hofer, Kris Wysocki, Eduard Zehnder, The dynamics on three-dimensional strictly convex energy surfaces.
Annals of Mathematics 148 (1998), 197-289.

[9] Helmut Hofer, Kris Wysocki, Eduard Zehnder, Finite energy foliations of tight three-spheres and Hamiltonian dynamics.
Annals of Mathematics 157 (2003), 125-255.

[10] Frederic Bourgeois, Yasha Eliashberg, Helmut Hofer, Kris Wysocki, Eduard Zehnder, Compactness results in symplectic field theory.
Geometry and Topology 7 (2003), 789-888.

Books:

[A] Helmut Hofer, Eduard Zehnder, Symplectic Invariants and Hamiltonian Dynamics.
Modern Birkhäuser Classics, Birkhäuser Verlag, Basel, 1994. Reprinted 2011.

[B] Jürgen Moser, Eduard Zehnder, Notes on Dynamical Systems.
Courant Lecture Notes in Mathematics 12, NYU, AMS, Providence RI, 2005.

[C] Eduard Zehnder, Lectures on Dynamical Systems. Hamiltonian Vector Fields and
Symplectic Capacities. EMS Textbooks in Mathematics, EMS, Zürich, 2010.

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