Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constrained extremal problems in the Hardy space H2 and Carleman's
  formulas   We study some approximation problems on a strict subset of the circle by
analytic functions of the Hardy space H2 of the unit disk (in C), whose modulus
satisfy a pointwise constraint on the complentary part of the circle. Existence
and uniqueness results, as well as pointwise saturation of the constraint, are
established. We also derive a critical point equation which gives rise to a
dual formulation of the problem. We further compute directional derivatives for
this functional as a computational means to approach the issue. We then
consider a finite-dimensional polynomial version of the bounded extremal
problem.

35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas