Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractal Interpolation over Nonlinear Partitions   This paper introduces the fractal interpolation problem defined over domains
with a nonlinear partition. This setting generalizes known methodologies
regarding fractal functions and provides a new holistic approach to fractal
interpolation. In this context, perturbations of nonlinear partition functions
are considered and sufficient conditions for the existence of a unique solution
of the underlying fractal interpolation problem for some classes of function
spaces are given.

36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int