Alternative Pseudodifferential Analysis: With an Application by André Unterberger

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.

Show description

Read or Download Alternative Pseudodifferential Analysis: With an Application to Modular Forms (Lecture Notes in Mathematics) PDF

Best group theory books

Finite Reflection Groups (Graduate Texts in Mathematics)

Bankruptcy 1 introduces a number of the terminology and notation used later and shows must haves. bankruptcy 2 provides a fairly thorough account of all finite subgroups of the orthogonal teams in and 3 dimensions. The presentation is a bit of much less formal than in succeeding chapters. for example, the life of the icosahedron is authorized as an empirical truth, and no formal evidence of life is incorporated.

A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences: With Complete Bibliography

This quantity offers a brief consultant to the wide literature relating semir­ ings besides a whole bibliography. The literature has been created over a long time, in number of languages, by means of authors representing diverse faculties of arithmetic and dealing in a number of comparable fields. sometimes the terminology used isn't really common, which additional compounds the trouble of finding pertinent resources even during this age of the net and digital dis­ semination of analysis effects.

Hypercomplex Analysis: New Perspectives and Applications (Trends in Mathematics)

Hypercomplex research is the extension of advanced research to raised dimensions the place the concept that of a holomorphic functionality is substituted by way of the idea that of a monogenic functionality. In contemporary a long time this concept has come to the vanguard of upper dimensional research. There are a number of techniques to this: quaternionic research which basically makes use of quaternions, Clifford research which is dependent upon Clifford algebras, and generalizations of advanced variables to raised dimensions akin to split-complex variables.

Fundamentals of Modern Algebra:A Global Perspective

The aim of this booklet is to supply a concise but distinctive account of primary strategies in glossy algebra. the objective viewers for this ebook is first-year graduate scholars in arithmetic, even though the 1st chapters are most likely obtainable to well-prepared undergraduates. The publication covers a large diversity of subject matters in smooth algebra and contains chapters on teams, earrings, modules, algebraic extension fields, and finite fields.

Extra resources for Alternative Pseudodifferential Analysis: With an Application to Modular Forms (Lecture Notes in Mathematics)

Sample text

Download PDF sample

Rated 4.85 of 5 – based on 33 votes