Solvable Algebras of Pseudodifferential Operators: Pseudo-Differential Operators, cartea 15
Autor Boris Plamenevskii, Oleg Sarafanoven Limba Engleză Paperback – 5 mai 2023
C*-algebras generated by pseudodifferential operators with piecewise smooth symbols on a smooth manifold are considered. For each algebra, all the equivalence classes of irreducible representations are listed; as a consequence, a criterion for a pseudodifferential operator to be Fredholm is stated, the topology on the spectrum is described, and a solving series is constructed.
Pseudodifferential operators on manifolds with edges are introduced, their properties are considered in details, and an algebra generated by the operators is studied.
An introductory chapter includes all necessary preliminaries from the theory of pseudodifferential operators and C*-algebras.
Preț: 561.74 lei
Preț vechi: 660.87 lei
-15% Nou
Puncte Express: 843
Preț estimativ în valută:
107.50€ • 113.69$ • 89.67£
107.50€ • 113.69$ • 89.67£
Carte tipărită la comandă
Livrare economică 30 decembrie 24 - 13 ianuarie 25
Preluare comenzi: 021 569.72.76
Specificații
ISBN-13: 9783031283970
ISBN-10: 303128397X
Ilustrații: XII, 241 p.
Dimensiuni: 168 x 240 mm
Greutate: 0.41 kg
Ediția:1st ed. 2023
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Pseudo-Differential Operators
Locul publicării:Cham, Switzerland
ISBN-10: 303128397X
Ilustrații: XII, 241 p.
Dimensiuni: 168 x 240 mm
Greutate: 0.41 kg
Ediția:1st ed. 2023
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Pseudo-Differential Operators
Locul publicării:Cham, Switzerland
Cuprins
- 1. Preliminaries. - 2. C∗-algebras of Pseudodifferential Operators on Smooth Manifolds with Discontinuities in Symbols Along a Submanifold. - 3. Algebra of Pseudodifferential Operators with Piecewise Smooth Symbols on a Smooth Manifold. - 4. Pseudodifferential Operators on Manifolds with Smooth Closed Edges. - 5. C∗-Algebra of Pseudodifferential Operators on Manifold with Edges.
Notă biografică
Prof. Boris Plamenevskii and Prof. Oleg Sarafanov are researchers in mathematics.
Textul de pe ultima copertă
This book presents original research results on pseudodifferential operators.
C*-algebras generated by pseudodifferential operators with piecewise smooth symbols on a smooth manifold are considered. For each algebra, all the equivalence classes of irreducible representations are listed; as a consequence, a criterion for a pseudodifferential operator to be Fredholm is stated, the topology on the spectrum is described, and a solving series is constructed.
Pseudodifferential operators on manifolds with edges are introduced, their properties are considered in details, and an algebra generated by the operators is studied.
An introductory chapter includes all necessary preliminaries from the theory of pseudodifferential operators and C*-algebras.
Caracteristici
The book gives a detailed study of C*-algebras generated by pseudodifferential operators with discontinuos symbols Solving composition series are constructed for a number of C*-algebras spanned by pseudodifferential operators Pseudodifferential operators on manifolds with edges are defined and a calculus of their scalar symbols is developed