Opening book details…
Can I read Haar Bases forL2( ) and Algebraic Number Theory on EtoBox?
Haar Bases forL2( ) and Algebraic Number Theory by Jeffrey C. Lagarias; Yang Wang is a Mathematics article available to read on EtoBox.
What is Haar Bases forL2( ) and Algebraic Number Theory about?
We correct an error in the proof of Theorem 1.5 in Lagarias and Wang (J. Number Theory 57, 1996, 181 197). We also give a strengthened necessary condition for the existence of a Haar basis of the specified kind for every integer matrix A that has a given irreducible characteristic polynomial f (x) with | f (0)| =2. A. Potiopa (Master's thesis, Siedlce University, 1997) found that the expanding polynomial g(x)=x 4 + x 2 +2 violates this necessary condition. Thus there exists a 4\_4 expanding integral matrix A of determinant 2 and characteristic polynomial g(x) which has no Haartype wavelet basis using an integer digit set D Z 4 .
Who reads Haar Bases forL2( ) and Algebraic Number Theory?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Jeffrey C. Lagarias; Yang Wang
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-314X)
- Published
- 1999
- Language
- EN
- Field
- Mathematics (Physical Sciences)