Anti-Wick and Weyl quantization on ultradistribution spaces

DOI10.1016/j.matpur.2014.04.011zbMath1307.47052arXiv1303.5561OpenAlexW2964068521MaRDI QIDQ488018

Stevan Pilipović, Bojan Prangoski

Publication date: 23 January 2015

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5561

zbMATH Keywords

Weyl quantizationanti-Wick quantizationglobal operatorsultradistribution spaces

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Distributions, generalized functions, distribution spaces (46F99) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Pseudodifferential operators (47G30)

Related Items

Semilinear pseudodifferential equations in spaces of tempered ultradistributions, A sequential approach to the convolution of Roumieu ultradistributions, Characterization of the Moyal multiplier algebras for the generalized spaces of type \(S\), The Gabor wave front set in spaces of ultradifferentiable functions, Convolution and Anti-Wick Quantisation on Ultradistribution Spaces, Spectral asymptotics for infinite order pseudo-differential operators, Convolution with the kernel \(e^{s\langle x\rangle^q}\), \(q\geq 1\), \(s>0\) within ultradistribution spaces, Infinite order \(\Psi\mathrm{DOs}\): composition with entire functions, new Shubin-Sobolev spaces, and index theorem, Spaces of type \(S\) as topological algebras under twisted convolution and star product, Infinite Order Pseudo-Differential Operators, Extension of localisation operators to ultradistributional symbols with super-exponential growth, Global wave front sets in ultradifferentiable classes

Cites Work

• Zur Faltung von Distributionen. (On convolution of distributions)
• Pseudodifferential operators of infinite order in spaces of tempered ultradistributions
• Fourier integral operators of infinite order and applications to SG-hyperbolic equations
• On the convolution of Roumieu ultradistributions through the \(\epsilon\) tensor product
• Characterizations of Bounded Sets in Spaces of Ultradistributions
• Laplace transform in spaces of ultradistributions
• Kernel theorems for the spaces of tempered ultradistributions
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