Mathematics – Functional Analysis
Scientific paper
2010-09-21
Mathematics
Functional Analysis
Scientific paper
In this paper, we extend our previous work on the study of local scales of a function to studying local scales on curves and surfaces. In the case of a function f, the local scales of f at x is computed by measuring the deviation of f from a linear function near x at different scales t's. In the case of a d-dimensional surface E, the analogy is to measure the deviation of E from a d-plane near x on E at various scale t's. We then apply the theory of singular integral operators on E to show useful properties of local scales. We will also show that the defined local scales are consistent in the sense that the number of local scales are invariant under dilation.
No associations
LandOfFree
Local scales on curves and surfaces 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 Local scales on curves and surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local scales on curves and surfaces will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-697831