The Weyl operator and its generalization
This book deals with the theory and application of associating a function of two variables with a function of two operators that do not commute.The concept of associating ordinary functions with operators has arisen in many areas of science and mathematics, and up to the beginning of the twentieth c...
Bewaard in:
| Hoofdauteur: | |
|---|---|
| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Editie: | 1st ed. 2013. |
| Reeks: | Pseudo-Differential Operators, Theory and Applications
|
| Online toegang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Opmerking: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Weyl operator and its generalization, by Leon Cohen, Basel, Birkhäuser, 2013, 1 vol. (XII -159 p.), Pseudo-differential operators, 978-3-0348-0293-2 • The Weyl Operator and its Generalization, Texte imprimé, 9783034802956 • The Weyl operator and its generalization, by Leon Cohen, Basel, Birkhäuser, 2013, 1 vol. (XII -159 p.), Pseudo-differential operators, 978-3-0348-0293-2 |
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| 008 | 130325q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN168307022 | ||
| 020 | |a 9783034802949 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.353 | ||
| 100 | 1 | |a Cohen, Leon, |d 1940- | |
| 245 | 1 | 0 | |a The Weyl operator and its generalization |c by Leon Cohen. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Pseudo-Differential Operators, Theory and Applications |x 2297-0363 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Introduction The Fundamental Idea, Terminology, and Operator Algebra The Weyl Operator The Algebra of the Weyl Operator Product of Operators, Commutators, and the Moyal Sin Bracket Some Other Ordering Rules Generalized Operator Association The Fourier, Monomial, and Delta Function Associations Transformation Between Associations Path Integral Approach The Distribution of a Symbol and Operator The Uncertainty Principle Phase-Space Distributions Amplitude, Phase, Instantaneous Frequency, and the Hilbert Transform Time - Frequency Analysis The Transformation of Differential Equations into Phase Space The Representation of Functions The N Operator Case | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book deals with the theory and application of associating a function of two variables with a function of two operators that do not commute.The concept of associating ordinary functions with operators has arisen in many areas of science and mathematics, and up to the beginning of the twentieth century many isolated results were obtained. These developments were mostly based on associating a function of one variable with one operator, the operator generally being the differentiation operator. With the discovery of quantum mechanics in the years 1925-1930, there arose, in a natural way, the issue that one has to associate a function of two variables with a function of two operators that do not commute. Methods to do so became known as rules of association, correspondence rules, or ordering rules. This has led to a wonderfully rich mathematical development that has found applications in many fields. Subsequently it was realized that for every correspondence rule there is a corresponding phase-space distribution. Now the fields of correspondence rules and phase-space distributions are intimately connected. A similar development occurred in the field of time-frequency analysis where the aim is to understand signals with changing frequencies. The Weyl Operator and Its Generalization aims at bringing together the basic results of the field in a unified manner. A wide audience is addressed, particularly students and researchers who want to obtain an up-to-date working knowledge of the field. The mathematics is accessible to the uninitiated reader and is presented in a straightforward manner | ||
| 776 | 0 | |0 175618038 |t The Weyl operator and its generalization |f by Leon Cohen |c Basel |n Birkhäuser |d 2013 |p 1 vol. (XII -159 p.) |s Pseudo-differential operators |z 978-3-0348-0293-2 | |
| 776 | 0 | |t The Weyl Operator and its Generalization |b Texte imprimé |z 9783034802956 | |
| 776 | 0 | |0 175618038 |t The Weyl operator and its generalization |f by Leon Cohen |c Basel |n Birkhäuser |d 2013 |p 1 vol. (XII -159 p.) |s Pseudo-differential operators |z 978-3-0348-0293-2 | |
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