Ebook Info
- Published: 1981
- Number of pages: 166 pages
- Format: PDF
- File Size: 4.16 MB
- Authors: L. Boutet de Monvel
Description
The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators. For instance, Toeplitz operators possess a symbolic calculus analogous to the usual symbolic calculus, and by symbolic means one can construct parametrices for Toeplitz operators and create new Toeplitz operators out of old ones by functional operations.If P is a self-adjoint pseudodifferential operator on a compact manifold with an elliptic symbol that is of order greater than zero, then it has a discrete spectrum. Also, it is well known that the asymptotic behavior of its eigenvalues is closely related to the behavior of the bicharacteristic flow generated by its symbol.It is natural to ask if similar results are true for Toeplitz operators. In the course of answering this question, the authors explore in depth the analogies between Toeplitz operators and pseudodifferential operators and show that both can be viewed as the “quantized” objects associated with functions on compact contact manifolds.
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Free Download The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 (Annals of Mathematics Studies, 99) in PDF format
The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 (Annals of Mathematics Studies, 99) PDF Free Download
Download The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 (Annals of Mathematics Studies, 99) 1981 PDF Free
The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 (Annals of Mathematics Studies, 99) 1981 PDF Free Download
Download The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 (Annals of Mathematics Studies, 99) PDF
Free Download Ebook The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 (Annals of Mathematics Studies, 99)