Autor: Palle E. T. Jorgensen

Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an …

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is. -John von Neumann While this is a course in analysis, our approach departs from th …

The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for …

The theory of operators stands at the intersection of the frontiers of modern analysis and its classical counterparts; of algebra and quantum mechanics; of spectral theory and partial differential eq …

Let $N/in/mathbb{N}$, $N/geq2$, be given. Motivated by wavelet analysis, we consider a class of normal representations of the $C^{/ast}$-algebra $/mathfrak{A}_{N}$ on two unitary generators $U$, $V$ …

Suitable for advanced undergraduates and graduate students in mathematics and physics, this three-part treatment of operators and representation theory begins with background material on definitions …

This volume considers resistance networks: large graphs which are connected, undirected, and weighted. Such networks provide a discrete model for physical processes in inhomogeneous media, including …

This book establishes brand-new frame theory and technical implementation in data science, with a special focus on spatial-scale feature extraction, network dynamics, object-oriented analysis, data-d …