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The discovery of quantum mechanics in the years 1925-1930 necessitated the consideration of associating ordinary functions with non-commuting operators. Methods were proposed by Born/Jordan, Kirkwood …

This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at …

In the study of mathematical models that arise in the context of concrete – plications, the following two questions are of fundamental importance: (i) we- posedness of the model, including existence …

The present volume is a collection of papers mainly concerning Phase Space Analysis, alsoknownas Microlocal Analysis, anditsapplicationstothetheory of Partial Di?erential Equations (PDEs). The basic …

In this work, methods of analysis and models of contacting systems dynamics, including heat generation and wear exhibited by such systems, are presented. It should be emphasised that the methods and …

One of the key issues related to superfluidity is the existence of vortices. In very recent experiments on Bose–Einstein condensates, vortices have been observed by rotating the trap holding the atom …

Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations. When solving such problems, in many cases it is fairly easy to obtain the …

This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential …