Functions with Disconnected Spectrum
Language: English
Published by American Mathematical Society, US, 2016
- First Edition
- Softcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
£ 58.75
Quantity: 1 available
Add to basketItem description from seller
The classical sampling problem is to reconstruct entire functions with given spectrum $S$ from their values on a discrete set $L$. From the geometric point of view, the possibility of such reconstruction is equivalent to determining for which sets $L$ the exponential system with frequencies in $L$ forms a frame in the space $L^2(S)$. The book also treats the problem of interpolation of discrete functions by analytic ones with spectrum in $S$ and the problem of completeness of discrete translates. The size and arithmetic structure of both the spectrum $S$ and the discrete set $L$ play a crucial role in these problems.After an elementary introduction, the authors give a new presentation of classical results due to Beurling, Kahane, and Landau. The main part of the book focuses on recent progress in the area, such as construction of universal sampling sets, high-dimensional and non-analytic phenomena.The reader will see how methods of harmonic and complex analysis interplay with various important concepts in different areas, such as Minkowski's lattice, Kolmogorov's width, and Meyer's quasicrystals.The book is addressed to graduate students and researchers interested in analysis and its applications. Due to its many exercises, mostly given with hints, the book could be useful for undergraduates.…
Seller Inventory # LU-9781470428891
- Title
- Functions with Disconnected Spectrum
- Author
- Alexander M. Olevskii, Alexander Ulanovskii
- Publisher
- American Mathematical Society, US
- Publication year
- 2016
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 147042889X
- ISBN 13
- 9781470428891
- Edition
- 1st.
- Item weight
- 278 grams
- Dimensions
- 17.78 x 0.64 x 25.4 cm
After an elementary introduction, the authors give a new presentation of classical results due to Beurling, Kahane, and Landau. The main part of the book focuses on recent progress in the area, such as construction of universal sampling sets, high-dimensional and non-analytic phenomena.
The reader will see how methods of harmonic and complex analysis interplay with various important concepts in different areas, such as Minkowski's lattice, Kolmogorov's width, and Meyer's quasicrystals.
The book is addressed to graduate students and researchers interested in analysis and its applications. Due to its many exercises, mostly given with hints, the book could be useful for undergraduates.
"Synopsis" may belong to another edition of this title.
About the Author
Alexander Ulanovskii, Stavanger University, Norway.
"About the title" may belong to another edition of this title.
Rarewaves.com UK
London, United Kingdom
AbeBooks seller since June 11, 2025
Shipping rates from United Kingdom to U.S.A.
| Item | 60 to 60 business days | 60 to 60 business days |
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