Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Harmonic functions which vanish on coaxial cylinders   It was recently established that a function which is harmonic on an infinite
cylinder and vanishes on the boundary necessarily extends to an entire harmonic
function. This paper considers harmonic functions on an annular cylinder which
vanish on both the inner and outer cylindrical boundary components. Such
functions are shown to extend harmonically to the whole of space apart from the
common axis of symmetry. One of the ingredients in the proof is a new estimate
for the zeros of cross product Bessel functions.

16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th