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Global Representatives of Colombeau Holomorphic Generalized Functions

✍ Scribed by M. Oberguggenberger; S. Pilipović; V. Valmorin

Publisher
Springer Vienna
Year
2006
Tongue
English
Weight
96 KB
Volume
151
Category
Article
ISSN
0026-9255

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📜 SIMILAR VOLUMES

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## Abstract Generalized functions as mappings defined on the set of generalized points are considered. Local properties of generalized functions, singular support and various types of 𝒢^∞^–regularity are analyzed. Suppleness and non–flabbyness are proved. Necessary and sufficient conditions on gene

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In this note the Hankel transformation on a new class of generalized functions of Colombeau type is defined. Also we investigate the Hankel convolution and the Hankel translation on that space of generalized functions.

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## Abstract The __p__‐adic Colombeau‐Egorov algebra of generalized functions on ℚ__^n^~p~__ is constructed. For generalized functions the operations of multiplication, Fourier‐transform, convolution, taking pointvalues are defined. The operations of (fractional) partial differentiation and (fractio