By André Unterberger

This quantity introduces a wholly new pseudodifferential research at the line, the competition of which to the standard (Weyl-type) research should be acknowledged to mirror that, in illustration thought, among the representations from the discrete and from the (full, non-unitary) sequence, or that among modular types of the holomorphic and alternative 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 drawn to pseudodifferential research and in modular kinds, the ebook can also entice analysts and physicists, for its techniques making attainable the transformation of creation-annihilation operators into automorphisms, concurrently altering the standard scalar product into an indefinite yet nonetheless non-degenerate one.

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