Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Almost diagonalization of $\tau$-pseudodifferential operators with
  symbols in Wiener amalgam and modulation spaces   In this paper we focus on the almost-diagonalization properties of
$\tau$-pseudodifferential operators using techniques from time-frequency
analysis. Our function spaces are modulation spaces and the special class of
Wiener amalgam spaces arising by considering the action of the Fourier
transform of modulation spaces. A particular example is provided by the
Sj\"ostrand class, for which Gr\"ochenig exhibited the almost diagonalization
of Weyl operators. We shall show that such result can be extended to any
$\tau$-pseudodifferential operator, for $\tau \in [0,1]$, also with symbol in
weighted Wiener amalgam spaces. As a consequence, we infer boundedness, algebra
and Wiener properties for $\tau$-pseudodifferential operators on Wiener amalgam
and modulation spaces.

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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: stat