Author : L. Boutet de Monvel
Release : 2016-03-02
Genre : Mathematics
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Book Rating : 447/5 ( reviews)

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The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 write by L. Boutet de Monvel. This book was released on 2016-03-02. The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 available in PDF, EPUB and Kindle. 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.