Toeplitz operators in \(n\)-dimensions
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Publication:2266429
DOI10.1007/BF01200373zbMath0561.47025MaRDI QIDQ2266429
Publication date: 1984
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Hardy spaceWeyl quantizationToeplitz operatorspseudodifferential operatorGrauert tubestrictly pseudoconvex domaincomposition formulaBerezin theoryfinite-dimensional complex analytic manifold
Pseudodifferential operators as generalizations of partial differential operators (35S05) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Pseudodifferential and Fourier integral operators on manifolds (58J40)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quelques propriétés fondamentales des ensembles analytiques-réels
- On Levi's problem and the imbedding of real-analytic manifolds
- Quantum mechanics and partial differential equations
- Sur le spectre des opérateurs elliptiques à bicaracteristiques toutes périodiques
- The metaplectic representation, Weyl operators and spectral theory
- Band asymptotics in two dimensions
- The spectrum of positive elliptic operators and periodic bicharacteristics
- Asymptotics of eigenvalue clusters for the Laplacian plus a potential
- The spectral function of an elliptic operator
- On certain Toeplitz operators in two variables
- Boundary problems for pseudo-differential operators
- Fourier integral operators. I
- Fredholm operators associated with strongly pseudoconvex domains in \(C^n\)
- An index theorem for Wiener-Hopf operators on the discrete quarter-plane
- Fonctions harmoniques et spectre singulier
- The uncertainty principle and sharp gårding inequalities
- QUANTIZATION
- QUANTIZATION IN COMPLEX SYMMETRIC SPACES
- Toeplitz operators in a quarter-plane
- COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
- Theory of Reproducing Kernels
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