Interpolation and Sampling in Spaces of
✍ Seip, Kristian
📂 Library
📅 2004
🏛 American Mathematical Society
🌐 English
✦ LIBER ✦
📁
Interpolation and sampling in spaces of analytic functions
✍ Scribed by Kristian Seip
- Publisher
- Amer Mathematical Society
- Year
- 2004
- Tongue
- English
- Leaves
- 146
- Series
- University Lecture Series
- Category
- Library
⬇ Acquire This Volume
No coin nor oath required. For personal study only.
✦ Synopsis
This book contains the latest developments in a central theme of research on analysis of one complex variable. The material is based on lectures at the University of Michigan. The exposition is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic functions. The subject can be viewed as arising from three classical topics: Nevanlinna-Pick interpolation, Carleson's interpolation theorem for $H^\infty$, and the sampling theorem, also known as the Whittaker-Kotelnikov-Shannon theorem.The author clarifies how certain basic properties of the space at hand are reflected in the geometry of interpolating and sampling sequences. Key words for the geometric descriptions are Carleson measures, Beurling densities, the Nyquist rate, and the Helson-Szego condition. Seip writes in a relaxed and fairly informal style, successfully blending informal explanations with technical details. The result is a very readable account of this complex topic. Prerequisites are a basic knowledge of complex and functional analysis. Beyond that, readers should have some familiarity with the basics of $H^p$ theory and BMO
📜 SIMILAR VOLUMES
Interpolation and Sampling in Spaces of
✍ Seip, Kristian
📂 Library
📅 2004
🏛 American Mathematical Society
🌐 English
Interpolation and sampling in spaces of
✍ Kristian Seip
📂 Library
📅 2004
🏛 Amer Mathematical Society
🌐 English
This book contains the latest developments in a central theme of research on analysis of one complex variable. The material is based on lectures at the University of Michigan. The exposition is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic f
Extended Abstracts Fall 2019: Spaces of
✍ Evgeny Abakumov (editor), Anton Baranov (editor), Alexander Borichev (editor), K
📂 Library
📅 2021
🏛 Birkhäuser
🌐 English
<p><span>This book collects the abstracts of the mini-courses and lectures given during the Intensive Research Program “Spaces of Analytic Functions: Approximation, Interpolation, Sampling” which was held at the Centre de Recerca Matemàtica (Barcelona) in October–December, 2019.</span></p><p><span>T
Extended Abstracts Fall 2019: Spaces of
✍ Evgeny Abakumov (editor), Anton Baranov (editor), Alexander Borichev (editor), K
📂 Library
📅 2021
🏛 Birkhäuser
🌐 English
<p><span>This book collects the abstracts of the mini-courses and lectures given during the Intensive Research Program “Spaces of Analytic Functions: Approximation, Interpolation, Sampling” which was held at the Centre de Recerca Matemàtica (Barcelona) in October–December, 2019.</span></p><p><span>T
Interpolation functors and interpolation
✍ Unknown Author
📂 Library
📅 1991
🏛 North Holland
🌐 English
The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around 1960 with the pioneering work of Aronszajn, Calderón, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered