Singularities and Differential Algebras of Generalized Functions
Elemer Elad Rosinger
Broschiertes Buch

Singularities and Differential Algebras of Generalized Functions

A Basic Dichotomic Sheaf Theoretic Singularity Test

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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 ...