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ISBN: 9780691082790

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. | The Spectral Theory of Toeplitz Operators. (AM-99) Volume 99 by L. Boutet de Monvel Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics > Calculus P10117, L. Boutet de Monvel

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ISBN: 9780691082790

Paperback, [PU: Princeton University Press], 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., Functional Analysis & Transforms

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1981, ISBN: 9780691082790

[ED: Kartoniert / Broschiert], [PU: Princeton University Press], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. KlappentextThe theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators. For instanc, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Taschenbuch, 168, [GW: 254g], Banküberweisung, PayPal

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# The Spectral Theory of Toeplitz Operators. (AM-99) Volume 99 by L. Boutet de Monvel Paperback | Indigo Chapters* - new book*

ISBN: 9780691082790

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 symbol… More...

ISBN: 9780691082790

Paperback, [PU: Princeton University Press], The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators. For … More...

1981

## ISBN: 9780691082790

[ED: Kartoniert / Broschiert], [PU: Princeton University Press], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. KlappentextThe theory of … More...

1981, ISBN: 9780691082790

Buch, Softcover, [PU: Princeton University Press], Princeton University Press, 1981

ISBN: 9780691082790

paperback, [PU: Princeton University Press]

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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.

** Details of the book - The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99**

EAN (ISBN-13): 9780691082790

ISBN (ISBN-10): 0691082790

Hardcover

Paperback

Publishing year: 1981

Publisher: Princeton University Press

168 Pages

Weight: 0,245 kg

Language: eng/Englisch

Book in our database since 2007-05-28T14:06:45-04:00 (New York)

Detail page last modified on 2022-10-04T08:37:11-04:00 (New York)

ISBN/EAN: 0691082790

ISBN - alternate spelling:

0-691-08279-0, 978-0-691-08279-0

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*9781400881444 The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 (L. Boutet de Monvel, Victor Guillemin)*

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