Physics – Mathematical Physics
Scientific paper
2004-12-22
Sbornik: Mathematics, 2007, 198:1, 97--116
Physics
Mathematical Physics
16 pages, LaTeX, some corrections and generalizations
Scientific paper
A family of orthonormal bases of ultrametric wavelets in the space of quadratically integrable with respect to arbitrary measure functions on general (up to some topological restrictions) ultrametric space is introduced. Pseudodifferential operators (PDO) on the ultrametric space are investigated. We prove that these operators are diagonal in the introduced bases of ultrametric wavelets and compute the corresponding eigenvalues. Duality between ultrametric spaces and directed trees is discussed. In particular, a new way of construction of ultrametric spaces by completion of directed trees is proposed.
No associations
LandOfFree
Ultrametric pseudodifferential operators and wavelets for the case of non homogeneous measure 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 Ultrametric pseudodifferential operators and wavelets for the case of non homogeneous measure, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ultrametric pseudodifferential operators and wavelets for the case of non homogeneous measure will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-94160