References
T. Aubin, Non-linear Analysis on Manifolds. Springer-verlag, New York (1982).
L. Boutet de Monvel and V. Guillemin, The Spectral Theory of Toeplitz Operators. Annals of Math. Studies No. 99 (1981).
V. Guillemin and S. Sternberg, “Some problems in integral geometry and some related problems in microlocal analysis,” Am. J. Math., Vol. 101 (1979) 915–955.
V. Guillemin and S. Sternberg, “The metaplectic representation, Weyl operators and spectral theory,” J. of Funct. Analysis, Vol. 42 (1981) 195–955.
V. Guillemin and S. Sternberg, “Homogeneous quantization and multiplicities of group representation,” J. of Funct. Analysis, Vol. 27 (1982) 344–380.
V. Guillemin and S. Sternberg, Geometric Asymptotics. AMS, Providence, RI (1976).
V. Guillemin and S. Sternberg, Symplectic Techniques in Physics. Cambridge University Press, New York (1984).
A. Joseph, “The minimal orbit in a simple Lie algebra and its associated maximal ideal,” Ann. Sci. Ecole Norm. Sup. 9 (1976) 1–29.
B. Kostant, “Quantization and unitary representations” in Lectures in Modern Analysis and Applications. Lecture Notes in Math. No.170 Springer-Verlag New York (1970) 87–208.
S. Sternberg and J. Wolf, “Hermitian Lie algebras and metaplectic representations,” Trans. Amer. Math. Soc. Vol. 238 (1978) 1–43.
D. Vogan, “Singular unitary representations” in Non-Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Math. No. 880 Springer-Verlag, New York (1981).
J. Wolf, “Representations associated to minimal co-adjoint orbits” in Differential Geometric Methods in Mathematical Physics II. Lecture Notes in Math. No. 676 Springer-Verlag New York (1978).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Guillemin, V., Sternberg, S. A generalization of the notion of polarization. Ann Glob Anal Geom 4, 327–347 (1986). https://doi.org/10.1007/BF00128051
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00128051