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{{Hatnote|Not to be confused with the common phrase "algebraic analysis of <nowiki>[a subject]</nowiki>", meaning "the algebraic study of <nowiki>[ ...a|Kawai|2011|pp=11–17}} This can be seen as an algebraic geometrization of analysis. It derives its meaning from the fact that the differential operator is rig ...

In [[mathematics]], in the field of [[harmonic analysis]], an '''oscillatory integral operator''' is an [[integral operator]] of th ...[[Elias M. Stein|Elias Stein]] and his school.<ref>Elias Stein, ''Harmonic Analysis: Real-variable Methods, Orthogonality and Oscillatory Integrals''. Princeto ...

...Some problems in integral geometry and some related problems in microlocal analysis'', [[American Journal of Mathematics]] '''101''' (1979), 915–955. ...

...cal analysis]], and particularly in [[spectral geometry]] and [[microlocal analysis]]. She is an associate professor of mathematics at the [[University of Nort ...cognition of outstanding contributions in spectral geometry and microlocal analysis", citing her "breakthrough results on nodal sets, random waves, Weyl Laws, ...

In [[microlocal analysis]], the ''' propagation of singularities theorem''' (also called the '''Duis [[Category:Microlocal analysis]] ...

...[[Masaki Kashiwara]] and Takahiro Kawai in their approach to [[microlocal analysis]]. It can also be used to prove the analyticity of solutions of analytic [[ *{{citation|first=Gerald B.|last=Folland|title=Harmonic Analysis in Phase Space|series= Annals of Mathematics Studies|publisher=Princeton Un ...

...], the crucial role was played by [[variational methods]] and [[microlocal analysis]]. ...on for the Laplace–Beltrami operator on manifold with boundary. Functional Analysis and Its Applications 14(2):98–106 (1980).</ref> This generalization assume ...

This is a glossary of concepts and results in [[real analysis]] and [[complex analysis]] in mathematics. In particular, it includes those in [[measure theory]] (a ...topics]], [[list of complex analysis topics]] and [[glossary of functional analysis]]. ...

| field = [[Harmonic analysis]], [[Symplectic geometry]],{{br}}[[Quantum mechanics]] ...er at the Numerical Harmonic Analysis Group (NuHAG)<ref>Numerical Harmonic Analysis Group website, University of Vienna ([http://www.univie.ac.at/nuhag-php/hom ...

...]]s. There is now a large mathematical theory about it, named [[microlocal analysis|microlocalization]], connecting with numerous other branches. The ''micro-' * [[Noncommutative harmonic analysis]] ...