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Provides the construction and characterization of ultradistribution spaces and studies properties and calculations of ultradistributions such as boundedness and convolution. This book is suitable for users of ultradistributions in applications as well as to research mathematicians in areas of analysis.

The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The most developed approaches related to generalized functions are those of Vladimirov, Drozhinov and Zavyalov, and that of Kanwal and Estrada. The first approach is followed by the authors of this book and extended in the direction of the S-asymptotics. The second approach - of Estrada, Kanwal and Vindas - is...

This volume is dedicated to Professor Michael Oberguggenberger at Innsbruck University, Austria, on his 60th birthday. The volume consists of peer-reviewed contributions representing modern trends in the theory of generalized functions and pseudo-differential operators. The collection has been suggested by the ISAAC Group in Generalized Functions (GF) and the ISAAC Group in Pseudo-Differential Operators (IGPDO) which met at the 9th ISAAC congress in Krakow, Poland in August 2013. Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis,...