Cart
Free US shipping over $10
Proud to be B-Corp

Spectral Theory of Dynamical Systems Mahendra Nadkarni

Spectral Theory of Dynamical Systems By Mahendra Nadkarni

Spectral Theory of Dynamical Systems by Mahendra Nadkarni


$157.19
Condition - New
Only 2 left

Summary

This book discusses basic topics in the spectral theory of dynamical systems. Lastly, the second edition includes a new chapter Calculus of Generalized Riesz Products, which discusses the recent work connecting generalized Riesz products, Hardy classes, Banach's problem of simple Lebesgue spectrum in ergodic theory and flat polynomials.

Spectral Theory of Dynamical Systems Summary

Spectral Theory of Dynamical Systems: Second Edition by Mahendra Nadkarni

This book discusses basic topics in the spectral theory of dynamical systems. It also includes two advanced theorems, one by H. Helson and W. Parry, and another by B. Host. Moreover, Ornsteins family of mixing rank-one automorphisms is given with construction and proof. Systems of imprimitivity and their relevance to ergodic theory are also examined. Baire category theorems of ergodic theory, scattered in literature, are discussed in a unified way in the book. Riesz products are introduced and applied to describe the spectral types and eigenvalues of rank-one automorphisms. Lastly, the second edition includes a new chapter Calculus of Generalized Riesz Products, which discusses the recent work connecting generalized Riesz products, Hardy classes, Banach's problem of simple Lebesgue spectrum in ergodic theory and flat polynomials.

About Mahendra Nadkarni

Mahendra Nadkarni is Emeritus Professor of mathematics at the University of Mumbai, India. He earned his M.Sc. degree in Mathematics from the University of Mumbai in 1960 and Ph.D. in applied mathematics from Brown University in1965. His research and pedagogic interests are in the areas of ergodic theory, harmonic analysis and probability theory in which he has scholarly publications including a book titled Basic Ergodic Theory. He is Fellow of the Indian National Science Academy, New Delhi, and, the Indian Academy of Sciences, Bengaluru. He has taught at the Indian Statistical Institute, Kolkata; the University of Minnesota, Minneapolis; Chennai Mathematical Institute, Chennai; the Indian Institute of Technology Indore; the Indian Institute of Technology Kanpur; Center of Excellence in Basic Sciences, Mumbai; and had visiting appointments at McGill University, Universities of York and Toronto in Canada.

Table of Contents

The Hahn-Hellinger Theorem.- The Spectral Theorem for Unitary Operators.- Symmetry and Denseness of the Spectrum.- Multiplicity and Rank.- The Skew Product.- A Theorem of Helson and Parry.- Probability Measures on the Circle Group.- Baire Category Theorems of Ergodic Theory.- Translations of Measures on the Circle.- B. Host's Theorem.- LEigenvalues of Non-Singular Automorphisms.- Generalities on Systems of Imprimitivity.- Dual Systems of Imprimitivity.- Saturated Subgroups of the Circle Group.- Riesz Products As Spectral Measures.- Additional Topics.- Calculus of Generalized Riesz Products.


Additional information

NPB9789811562242
9789811562242
9811562245
Spectral Theory of Dynamical Systems: Second Edition by Mahendra Nadkarni
New
Hardback
Springer Verlag, Singapore
2020-08-30
223
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Spectral Theory of Dynamical Systems