By André Unterberger
This quantity introduces a wholly new pseudodifferential research at the line, the competition of which to the standard (Weyl-type) research will be stated to mirror that, in illustration idea, among the representations from the discrete and from the (full, non-unitary) sequence, or that among modular varieties of the holomorphic and alternative for the standard Moyal-type brackets. This pseudodifferential research is dependent upon 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 varieties, the publication can also entice analysts and physicists, for its options 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