| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910151927203321 |
|
|
Autore |
Triebel Hans |
|
|
Titolo |
Faber Systems and Their Use in Sampling, Discrepancy, Numerical Integration [[electronic resource] /] / Hans Triebel |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Zuerich, Switzerland, : European Mathematical Society Publishing House, 2012 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (115 pages) |
|
|
|
|
|
|
Collana |
|
EMS Series of Lectures in Mathematics (ELM) ; , 2523-5176 |
|
|
|
|
|
|
Classificazione |
|
|
|
|
|
|
Soggetti |
|
Functional analysis |
Approximations and expansions |
Fourier analysis |
Computer science |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Sommario/riassunto |
|
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. |
|
|
|
|
|
|
|
| |