Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convolutions power of a characteristic function   This paper deals with the convolution powers of the characteristic function
of $[0,1], \chi_{[0,1]}$ and its function-derivatives. The importance that such
convolution products have can be seen, for an instance, at \cite{DahmenLatour}
where there is the need to find the best differentiable splines as
regularization tool to be used to expand functions or in the spectral analysis
of signals. Another simple application of these convolution powers is in the
construction of a partition of the unity of a very high class of
differentiability. Here, some properties of these convolution powers have been
obtained which easily led to write the algorithm to produce convolution powers
of $\chi_{[0,1]}$ and their function-derivatives. This algorithm was written in
{\tt calc}, the program published under GPL that is free to download.

12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio