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...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2013. |
| Schriftenreihe: | Pseudo-Differential Operators, Theory and Applications
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| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
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 |
Inhaltsangabe:
- 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