Almost Diagonalization of $\Psi$DO’s Over Various Generalized Function Spaces
DOI:
https://doi.org/10.5644/SJM.20.01.10Keywords:
modulation spaces, Gelfand-Shilov spaces, pseudo-differentail operators, Hormander metricAbstract
Inductive and projective type sequence spaces of sub- and super-exponential growth, and the corresponding inductive and projective limits of modulation spaces are considered as a framework for almost diagonalization of pseudo-differential operators. Moreover, recent results of the first author and B. Prangoski related to the almost diagonalization of pseudo-differential operators in the context of Hormander metrics are reviewed.
2010 Mathematics Subject Classification. 47G30, 46F05, 42C15, 58J40.
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References
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