✦ LIBER ✦

Explicit Construction of Framelets

✍ Scribed by Alexander Petukhov

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 158 KB
Volume: 11
Category: Article
ISSN: 1063-5203
DOI: 10.1006/acha.2000.0337

No coin nor oath required. For personal study only.

✦ Synopsis

We study tight wavelet frames associated with given refinable functions which are obtained with the unitary extension principles. All possible solutions of the corresponding matrix equations are found. It is proved that the problem of the extension may be always solved with two framelets. In particular, if symbols of the refinable functions are polynomials (rational functions), then the corresponding framelets with polynomial (rational) symbols can be found.

📜 SIMILAR VOLUMES

An Explicit Construction of Residual Com

An Explicit Construction of Residual Complexes

✍ I-Chiau Huang 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 290 KB

## Let φ: → be a morphism of finite type between locally Noetherian schemes whose fibers have bounded dimensions. Given concretely a residual complex on , we construct canonically a concrete residual complex on cY .

Explicit construction of Ãn type fields

✍ Teresa Crespo 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 474 KB

Explicit construction of 2Sn Galois exte

Explicit construction of 2Sn Galois extensions

✍ Teresa Crespo 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 296 KB

Explicit constructions of linear-sized s

Explicit constructions of linear-sized superconcentrators

✍ Ofer Gabber; Zvi Galil 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 700 KB

Explicit construction of linear sized to

Explicit construction of linear sized tolerant networks

✍ N. Alon; F.R.K. Chung 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 369 KB

For every E > 0 and every integer m > 0, we construct explicitly graphs with O(m/e) vertices and maximum degree 0(1/e\*), such that after removing any (1 -l ) portion of their vertices or edges, the remaining graph still contains a path of length m. This settles a problem of Rosenberg, which was mot

The Residue Theorem via an Explicit Cons

The Residue Theorem via an Explicit Construction of Traces

✍ I-Chiau Huang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 290 KB

## Let be a locally Noetherian scheme and φ: → be a morphism of finite type, whose fibers have bounded dimensions. Given a residual complex • on with Cousin data, a residual complex φ ! • on with Cousin data has been constructed. In this article, transitivity of residual complexes is clarified and