Singularities and Differential Algebras of Generalized Functions: A Basic Dichotomic Sheaf Theoretic Singularity Test - Couverture souple

Rosinger, Elemer Elad

Couverture souple

ISBN 10 : 3659505315 ISBN 13 : 9783659505317

Editeur : LAP LAMBERT Academic Publishing, 2013

Synopsis

It is often overlooked that there are naturally no less than infinitely many differential algebras of generalized functions. These infinitely many differential algebras of generalized functions are equally naturally subjected to a basic dichotomic sheaf theoretic singularity test regarding their significantly different abilities to deal with large classes of singularities. The property of a vector space or algebra of generalized functions of being a flabby sheaf proves to be essential in being able to deal with large classes of singularities. A review is presented of the way singularities are dealt with in five of the infinitely many types of differential algebras of generalized functions. These five types of algebras, in the order they were introduced in the literature are : the nowhere dense algebras, chains of algebras, the Colombeau algebras, space-time foam algebras, and local algebras. The first, third and fourth of them turned out to be the ones most frequently used in a variety of applications. Five fundamentally important issues related to singularities are pursued.

Détails de l'édition

• Éditeur: LAP LAMBERT Academic Publishing
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 3659505315
• ISBN 13: 9783659505317
• Reliure: Broché
• Nombre de pages: 192
• Coordonnées du fabricant: non disponible
• Personne responsable: KreGa Onlinehandel GmbH; 4950000000000; info@krega-onlinehandel.de; ; Birkenweg 31; Brakel; 33034; Allemagne