Description
Book SynopsisTrade ReviewThe book is written in a clear manner with systematic and careful citation of references. Each lecture contains exercises with hints proposed to the reader. It can be used by graduate and PhD students interested in acquiring not only classical results but also recent ones with possible applications in various areas." - Liviu Goras,
Zentralblatt Math"The style of exposition is clear and concise. Many proofs are given in the form of (challenging) exercises which explains the relatively small number of pages of the book in comparison to its extensive content. However, the book is an excellent guide to the literature, comprising not only recent but also old and obscure sources from a variety of related fields. It is a must-have for any researcher working in theoretical signal analysis and can be inspiring for every complex, harmonic or functional analyst." - Gunter Semmler,
Mathematical ReviewsTable of Contents
- Orthogonal bases and frames
- Paley-Wiener and Bernstein spaces
- Beurling's sampling theorem
- Interpolation
- Disconnected spectrum
- Universal sampling
- Sampling bounds
- Approximation of discrete functions and size of spectrum
- High-dimensional phenomena
- Unbounded spectra
- Almost integer translates
- Discrete translates in $L^p(\mathbb{R})$
- Bibliography
