By André Unterberger
This quantity introduces a completely new pseudodifferential research at the line, the competition of which to the standard (Weyl-type) research might be acknowledged to mirror that, in illustration conception, among the representations from the discrete and from the (full, non-unitary) sequence, or that among modular sorts of the holomorphic and replacement for the standard Moyal-type brackets. This pseudodifferential research depends on the one-dimensional case of the lately brought anaplectic illustration and research, a competitor of the metaplectic illustration and traditional analysis.
Besides researchers and graduate scholars attracted to pseudodifferential research and in modular types, the publication can also attract analysts and physicists, for its thoughts making attainable the transformation of creation-annihilation operators into automorphisms, at the same time altering the standard scalar product into an indefinite yet nonetheless non-degenerate one.
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Alternative Pseudodifferential Analysis: With an Application to Modular Forms (Lecture Notes in Mathematics) by André Unterberger