Mathematics – Functional Analysis
Scientific paper
2005-10-05
Journal of Mathematical Analysis and Applications 325 (2007) pp. 571-585
Mathematics
Functional Analysis
15 pages; Paper was cut from 27 to 15 pages and got a new title
Scientific paper
10.1016/j.jmaa.2006.02.012
This paper introduces the concept of Bessel multipliers. These operators are defined by a fixed multiplication pattern, which is inserted between the Analysis and synthesis operators. The proposed concept unifies the approach used for Gabor multipliers for arbitrary analysis/synthesis systems, which form Bessel sequences, like wavelet or irregular Gabor frames. The basic properties of this class of operators are investigated. In particular the implications of summability properties of the symbol for the membership of the corresponding operators in certain operator classes are specified. As a special case the multipliers for Riesz bases are examined and it is shown that multipliers in this case can be easily composed and inverted. Finally the continuous dependence of a Bessel multiplier on the parameters (i.e. the involved sequences and the symbol in use) is verified, using a special measure of similarity of sequences.
No associations
LandOfFree
Basic definition and properties of Bessel multipliers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Basic definition and properties of Bessel multipliers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Basic definition and properties of Bessel multipliers will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-250307