Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration [electronic resource] / Hans Triebel
Material type:
TextSeries: EMS Series of Lectures in Mathematics (ELM)Publisher: Zuerich, Switzerland : European Mathematical Society Publishing House, 2012Description: 1 online resource (115 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783037196076Subject(s): Functional analysis | Functional analysis | Approximations and expansions | Fourier analysis | Computer scienceOther classification: 46-xx | 41-xx | 42-xx | 68-xx Online resources: Click here to access online | cover image Summary: This book deals first with Haar bases, Faber bases and Faber frames for weighted function spaces on the real line and the plane. It extends results in the author’s book Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration (EMS, 2010) from unweighted spaces (preferably in cubes) to weighted spaces. The obtained assertions are used to study sampling and numerical integration in weighted spaces on the real line and weighted spaces with dominating mixed smoothness in the plane. A short chapter deals with the discrepancy for spaces on intervals. The book is addressed to graduate students and mathematicians having a working knowledge of basic elements of function spaces and approximation theory.
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK13821 |
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This book deals first with Haar bases, Faber bases and Faber frames for weighted function spaces on the real line and the plane. It extends results in the author’s book Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration (EMS, 2010) from unweighted spaces (preferably in cubes) to weighted spaces. The obtained assertions are used to study sampling and numerical integration in weighted spaces on the real line and weighted spaces with dominating mixed smoothness in the plane. A short chapter deals with the discrepancy for spaces on intervals. The book is addressed to graduate students and mathematicians having a working knowledge of basic elements of function spaces and approximation theory.
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