Palle E.T. Jorgensen – författare
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3 produkter
3 produkter
1 595 kr
Skickas inom 10-15 vardagar
This text emphasizes the use of algebraic methods and techniques in the study of operators and their applications. It includes carefully selected articles aimed at bridging dfferent, but related, areas of mathematics which have only recently displayed unexpected interconnections, as well as new cross-fertilizations. The articles have been grouped into chapters on single operators and applications, non-selfadjoint algebras, C-algebras, von Neumann algebras and subfactors, representation of groups and algebras on Hilbert space, and geometry and topology. This has been done in an effort to stress the complementarity between diversity of topics on one hand, and unity of ideas on the other.
1 592 kr
Skickas inom 10-15 vardagar
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 equations; of the modern global approach to topology and geometry; of representation theory and harmonic analysis; and of dynamical systems and mathematical physics. The present collection of papers represents contributions to a conference, and they have been carefully selected with a view to bridging different but related areas of mathematics which have only recently displayed an unexpected network of interconnections, as well as new and exciting cross-fertilizations. Our unify ing theme is the algebraic view and approach to the study of operators and their applications. The complementarity between the diversity of topics on the one hand and the unity of ideas on the other has been stressed. Some of the longer contributions represent material from lectures (in expanded form and with proofs for the most part). However, the shorter papers, as well as the longer ones, are an integral part of the picture; they have all been carefully refereed and revised with a view to a unity of purpose, timeliness, readability, and broad appeal. Raul Curto and Paile E. T.
630 kr
Skickas inom 5-8 vardagar
There is a recent and increasing interest in harmonic analysis of non-smooth geometries. Real-world examples where these types of geometry appear include large computer networks, relationships in datasets, and fractal structures such as those found in crystalline substances, light scattering, and other natural phenomena where dynamical systems are present. Notions of harmonic analysis focus on transforms and expansions and involve dual variables. In this book on smooth and non-smooth harmonic analysis, the notion of dual variables will be adapted to fractals. In addition to harmonic analysis via Fourier duality, the author also covers multiresolution wavelet approaches as well as a third tool, namely, $L^2$ spaces derived from appropriate Gaussian processes. The book is based on a series of ten lectures delivered in June 2018 at a CBMS conference held at Iowa State University.