Strong ultra-regularity properties for positive elements in the twisted convolutions

DOI10.1007/S11868-017-0219-7OpenAlexW2519579345WikidataQ59612039 ScholiaQ59612039MaRDI QIDQ1685319

Peng Zhang

Publication date: 13 December 2017

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03303

zbMATH Keywords

Weyl quantizationtwisted convolutionultra-distributionsHermite series expansions

Mathematics Subject Classification ID

Topological linear spaces of test functions, distributions and ultradistributions (46F05) Pseudodifferential operators (47G30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weyl transforms
• Positivity properties in noncommutative convolution algebras with applications in pseudo-differential calculus
• Factorizations and singular value estimates of operators with Gelfand-Shilov and Pilipović kernels
• Images of function and distribution spaces under the Bargmann transform
• Boundedness of Gevrey and Gelfand-Shilov kernels of positive semi-definite operators
• Wave front set for positive operators and for positive elements in non-commutative convolution algebras
• Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces
• Generalization of Zemanian Spaces of Generalized Functions which Have Orthonormal Series Expansions
• Harmonic Analysis in Phase Space. (AM-122)
• Metaplectic Equivalence of the Hierarchical Twisted Laplacian
• Multiplication Properties in Gelfand–Shilov Pseudo-differential Calculus
• Weyl transforms and a degenerate elliptic partial differential equation

This page was built for publication: Strong ultra-regularity properties for positive elements in the twisted convolutions