Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A multiplicative product of distributions and a global formulation of
  the confined Schrodinger equation   A concise derivation of a new multiplicative product of Schwartz
distributions is presented. The new product $\star$ is defined in the vector
space ${\cal A}$ of piecewise smooth functions on $\bkR$ and all their
(distributional) derivatives; it is associative, satisfies the Leibnitz rule
and reproduces the usual product of functions for regular distributions. The
algebra $({\cal A},+,\star)$ yields a sufficiently general setting to address
some interesting problems. As an application we consider the problem of
deriving a global formulation for quantum confined systems.

5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: nlin
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio