Harmonic analysis on Euclidean spaces Completeness of function systems Concept
Riesz basis
Summary
A Riesz basis of a Hilbert space is the image of an orthonormal basis under a bounded invertible operator. It keeps the main features of an orthonormal basis. Every vector has a unique expansion, and its length is comparable to the length of its coefficient sequence. Riesz bases are exactly the bases that are also frames, and they are unconditional Schauder bases. They are the natural notion of a stable basis in sampling theory, wavelets and nonharmonic Fourier analysis.
Where this leads
4 pages build on this one.
Further reading
About this page
| Tag | ZYDYD7FB1Z |
|---|---|
| URI | m2://ZYDYD7FB1Z |
| Kind | concept |
| Writing | W0 stub |
| MSC | 42C15, 46B15, 46C05 |
| Specializes | Schauder basis |
Markdown · JSON · Edit on GitHub
What this page needs for W1
- an inventory row: the row of the inventory that the node accounts for (0 of 1)
- a source with a locator (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.