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Functions with Disconnected Spectrum
Olevskii, Alexander M.; Ulanovskii, Alexander
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Description for Functions with Disconnected Spectrum
Paperback. Series: University Lecture Series. Num Pages: 143 pages. BIC Classification: PBK. Category: (G) General (US: Trade). Dimension: 254 x 178. .
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
American Mathematical Society United States
Number of pages
143
Condition
New
Series
University Lecture Series
Number of Pages
143
Place of Publication
Providence, United States
ISBN
9781470428891
SKU
V9781470428891
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Olevskii, Alexander M.; Ulanovskii, Alexander
Alexander M. Olevskii, Tel Aviv University, Israel. Alexander Ulanovskii, Stavanger University, Norway.
Reviews for Functions with Disconnected Spectrum
The 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 ... Read more