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 varieties of the holomorphic and alternative for the standard Moyal-type brackets. This pseudodifferential research is determined by the one-dimensional case of the lately brought anaplectic illustration and research, a competitor of the metaplectic illustration and ordinary analysis.
Besides researchers and graduate scholars attracted to pseudodifferential research and in modular varieties, the booklet can also attract analysts and physicists, for its innovations making attainable the transformation of creation-annihilation operators into automorphisms, concurrently altering the standard scalar product into an indefinite yet nonetheless non-degenerate one.
Read or Download Alternative Pseudodifferential Analysis: With an Application to Modular Forms (Lecture Notes in Mathematics) PDF
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