Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non commutative functional calculus: unbounded operators   In a recent work, \cite{cgss}, we developed a functional calculus for bounded
operators defined on quaternionic Banach spaces. In this paper we show how the
results from \cite{cgss} can be extended to the unbounded case, and we
highlight the crucial differences between the two cases. In particular, we
deduce a new eigenvalue equation, suitable for the construction of a functional
calculus for operators whose spectrum is not necessarily real.

13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs