Palle Jorgensen: 4 books
Extensions of Positive Definite Functions
Applications and Their Harmonic Analysis
Language: English
Release Date: July 8, 2016
This monograph deals with the mathematics of extending given partial data-sets obtained from experiments;
Experimentalists frequently gather spectral data when the observed data is limited, e.g., by the precision of instruments; or by other limiting external factors. Here the limited information...
by Palle Jorgensen, Feng Tian
Language: English
Release Date: January 24, 2017
Language: English
Release Date: January 24, 2017
The book features new directions in analysis, with an emphasis on Hilbert space, mathematical physics, and stochastic processes. We interpret "non-commutative analysis" broadly to include representations of non-Abelian groups, and non-Abelian algebras; emphasis on Lie groups and operator...
Operators and Representation Theory
Canonical Models for Algebras of Operators Arising in Quantum Mechanics
Language: English
Release Date: May 22, 2017
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 and terminology as well as on operators in Hilbert space. The introductory section concludes with a...
by Sergey Bezuglyi, Palle E. T. Jorgensen
Language: English
Release Date: June 21, 2018
Language: English
Release Date: June 21, 2018
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 study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new...