Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resolvents and Yosida approximations of displacement mappings of
  isometries   Maximally monotone operators are fundamental objects in modern optimization.
The main classes of monotone operators are subdifferential operators and
matrices with a positive semidefinite symmetric part. In this paper, we study a
nice class of monotone operators: displacement mappings of isometries of finite
order. We derive explicit formulas for resolvents, Yosida approximations, and
(set-valued and MoorePenrose) inverses. We illustrate our results by
considering certain rational rotators and circular shift operators.

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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an