Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pseudodifferential p-adic vector fields and pseudodifferentiation of a
  composite p-adic function   We discuss transformation of p-adic pseudodifferential operators (in the
one-dimensional and multidimensional cases) with respect to p-adic maps which
correspond to automorphisms of the tree of balls in the corresponding p-adic
spaces.
  In the dimension one we find a rule of transformation for pseudodifferential
operators. In particular we find the formula of pseudodifferentiation of a
composite function with respect to the Vladimirov p-adic fractional
differentiation operator. We describe the frame of wavelets for the group of
parabolic automorphisms of the tree of balls in the p-adic field.
  In many dimensions we introduce the group of mod p-affine transformations,
the family of pseudodifferential operators corresponding to
pseudodifferentiation along vector fields on the tree of balls in p-adic
miltidimensional space and obtain a rule of transformation of the introduced
pseudodifferential operators with respect to mod p-affine transformations.

27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin