X. Antoine, H. Barucq, and A. Bendali, Bayliss???Turkel-like Radiation Conditions on Surfaces of Arbitrary Shape, Journal of Mathematical Analysis and Applications, vol.229, issue.1, pp.184-211, 1999.
DOI : 10.1006/jmaa.1998.6153

V. I. Arnold, PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN, Russian Mathematical Surveys, vol.18, issue.5, pp.9-36, 1963.
DOI : 10.1070/RM1963v018n05ABEH004130

J. Bourgain, Construction of periodic solutions of nonlinear wave equations in higher dimension, Geometric and Functional Analysis, vol.46, issue.4, pp.629-639, 1995.
DOI : 10.1007/BF01902055

J. Bourgain, Quasi-Periodic Solutions of Hamiltonian Perturbations of 2D Linear Schrodinger Equations, The Annals of Mathematics, vol.148, issue.2, pp.363-439, 1998.
DOI : 10.2307/121001

T. Bridges, F. Dias, and D. Menasce, Steady three-dimensional water-wave patterns on a finite-depth fluid, Journal of Fluid Mechanics, vol.436, pp.145-175, 2001.
DOI : 10.1017/S0022112001003998

J. W. Cassels, An Introduction to Diophantine approximations, 1957.

W. Craig, Probì emes de petits diviseurs dans leséquationsleséquations aux dérivées partielles. Panoramas et Synthèses 9, 2000.

W. Craig and D. Nicholls, Traveling gravity water waves in two and three dimensions, European Journal of Mechanics - B/Fluids, vol.21, issue.6, pp.615-641, 2002.
DOI : 10.1016/S0997-7546(02)01207-4

W. Craig and D. Nicholls, Traveling Two and Three Dimensional Capillary Gravity Water Waves, SIAM Journal on Mathematical Analysis, vol.32, issue.2, pp.323-359, 2000.
DOI : 10.1137/S0036141099354181

W. Craig, U. Schanz, and C. Sulem, The modulational regime of threedimensional water waves and the Davey-Stewartson system

W. Craig and E. Wayne, Newton's method and periodic solutions of nonlinear wave equations, Communications on Pure and Applied Mathematics, vol.20, issue.11, pp.1409-1501, 1993.
DOI : 10.1002/cpa.3160461102

K. Deimling, Nonlinear Functional Analysis, 1985.
DOI : 10.1007/978-3-662-00547-7

F. Dias and G. Iooss, Water waves as a spatial dynamical system. Handbook of Mathematical Fluid Dynamics, pp.443-499, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00017484

F. Dias and C. Kharif, NONLINEAR GRAVITY AND CAPILLARY-GRAVITY WAVES, Annual Review of Fluid Mechanics, vol.31, issue.1, pp.301-346, 1999.
DOI : 10.1146/annurev.fluid.31.1.301

J. Fröhlich and T. Spencer, Absence of diffusion in the Anderson tight binding model for large disorder or low energy, Communications in Mathematical Physics, vol.4, issue.2, pp.151-184, 1983.
DOI : 10.1007/BF01209475

R. Fuchs, On the theory of short-crested oscillatory waves, U.S. Natl. Bur. Stand. Circ, vol.521, pp.187-200, 1952.

M. D. Groves, An existence theory for three-dimensional periodic travelling gravity???capillary water waves with bounded transverse profiles, Physica D: Nonlinear Phenomena, vol.152, issue.153, pp.152-153, 2001.
DOI : 10.1016/S0167-2789(01)00182-8

M. D. Groves and M. Haragus, A Bifurcation Theory for Three-Dimensional Oblique Travelling Gravity-Capillary Water Waves, Journal of Nonlinear Science, vol.13, issue.4, pp.397-447, 2003.
DOI : 10.1007/s00332-003-0530-8

M. Groves and A. Mielke, A spatial dynamics approach to three-dimensional gravity-capillary steady water waves, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.131, issue.01, pp.83-136, 2001.
DOI : 10.1017/S0308210500000809

J. Hammack, D. Henderson, and H. Segur, Progressive waves with persistent two-dimensional surface patterns in deep water, Journal of Fluid Mechanics, vol.532, pp.1-52, 2005.
DOI : 10.1017/S0022112005003733

M. Haragus-courcelle and K. Kirchgässner, Three-dimensional steady capillarygravity waves Ergodic theory, Analysis and efficient simulation of dynamical systems, pp.363-397, 2001.

L. Hörmander, Pseudo-differential Operators and Non-elliptic Boundary Problems, The Annals of Mathematics, vol.83, issue.1, pp.129-209, 1966.
DOI : 10.2307/1970473

G. Iooss, Gravity and Capillary-Gravity Periodic Travelling Waves for Two Superposed Fluid Layers, One Being of Infinite Depth, Journal of Mathematical Fluid Mechanics, vol.1, issue.1, pp.24-61, 1999.
DOI : 10.1007/s000210050003
URL : https://hal.archives-ouvertes.fr/hal-01271096

G. Iooss, P. Plotnikov, and J. Toland, Standing Waves on an Infinitely Deep Perfect Fluid Under Gravity, Archive for Rational Mechanics and Analysis, vol.2, issue.3, pp.367-478, 2005.
DOI : 10.1007/s00205-005-0381-6
URL : https://hal.archives-ouvertes.fr/hal-00009222

K. Kirchgässner, Wave-solutions of reversible systems and applications, Journal of Differential Equations, vol.45, issue.1, pp.113-127, 1982.
DOI : 10.1016/0022-0396(82)90058-4

J. J. Kohn and L. Nirenberg, An algebra of pseudo-differential operators, Communications on Pure and Applied Mathematics, vol.46, issue.1-2, pp.269-305, 1965.
DOI : 10.1002/cpa.3160180121

D. Lannes, Well-posedness of the water waves equations, J.Amer. Math. Soc, vol.18, pp.605-654, 2005.
DOI : 10.1090/surv/188/04
URL : https://hal.archives-ouvertes.fr/hal-00258834

T. Levi-civita, D???termination rigoureuse des ondes permanentes d'ampleur finie, Mathematische Annalen, vol.95, issue.1, pp.264-314, 1925.
DOI : 10.1007/BF01449965

J. Moser, Minimal foliation on a torus Topics in calculus of variations (Montecatini Terme), Lecture Notes in Math, pp.1365-62, 1989.

A. I. Nekrasov, On waves of permanent type. Izv. Ivanovo-Voznesensk, Politekhn . Inst, vol.3, pp.52-65, 1921.

P. I. Plotnikov, Solvability of the problem of spatial gravitational waves on the surface of an ideal fluid, Dokl. Akad. Nauk SSSR, vol.251, pp.170-171, 1980.

L. V. Ovsiannykov, N. I. Makarenko, V. I. Nalimov, V. Yu, P. I. Liapidevskii et al., Nonlinear problems in the theory of surface and internal waves (Russian), pp.165-199, 1985.

B. E. Petersen, An introduction to the Fourier transform and pseudodifferential operators, 1983.

P. I. Plotnikov and L. N. Yungerman, Periodic solutions of a weakly linear wave equation with an irrotational ratio of the period to the interval length, Diff.Equations, vol.24, pp.1059-1065, 1988.

P. Plotnikov and J. Toland, Nash-Moser Theory for Standing Water Waves, Archive for Rational Mechanics and Analysis, vol.159, issue.1, pp.1-83, 2001.
DOI : 10.1007/PL00004246

J. Reeder and M. Shinbrot, Three-dimensional, nonlinear wave interaction in water of constant depth, Nonlinear Analysis: Theory, Methods & Applications, vol.5, issue.3, pp.303-323, 1981.
DOI : 10.1016/0362-546X(81)90035-3

A. Roberts and L. Schwartz, The calculation of nonlinear short-crested gravity waves, Physics of Fluids, vol.26, issue.9, pp.2388-2392, 1983.
DOI : 10.1063/1.864422

C. L. Siegel, Vorlesungen¨UberVorlesungen¨ Vorlesungen¨Uber Himmelsmechanik (German, Russian) Inostarannaya Literatura, 1959.

L. Sretenskii, Spatial problem of determination of steady waves of finite amplitude (russian), Dokl. Akad. Nauk SSSR (N.S.), vol.89, pp.25-28, 1953.

G. G. Stokes, On the Theory of Oscillatory Waves, Trans. Camb. Phil. Soc, vol.8, pp.441-455, 1847.
DOI : 10.1017/CBO9780511702242.013

D. Struik, D??termination rigoureuse des ondes irrotationelles p??riodiques dans un canal ?? profondeur finie, Mathematische Annalen, vol.95, issue.1, pp.595-634, 1926.
DOI : 10.1007/BF01206629

M. E. Taylor, Pseudodifferential operators, 1981.
DOI : 10.1007/978-1-4419-7052-7_1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.232.4597

H. Weil, ???ber die Gleichverteilung von Zahlen mod. Eins, Mathematische Annalen, vol.135, issue.3, pp.313-352, 1916.
DOI : 10.1007/BF01475864

V. E. Zakharov, Stability of periodic waves of finite amplitude on the surface of a deep fluid, Journal of Applied Mechanics and Technical Physics, vol.10, issue.no. 4, pp.86-94, 1968.
DOI : 10.1007/BF00913182