Extension of localisation operators to ultradistributional symbols with super-exponential growth
DOI10.1007/S13398-022-01297-3OpenAlexW4293696743WikidataQ114219799 ScholiaQ114219799MaRDI QIDQ2081224
Bojan Prangoski, Ɖorđe Vučković, Stevan Pilipović
Publication date: 12 October 2022
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-022-01297-3
ultradistributionslocalisation operatorsanti-Wick quantisationextensions with ultradistribution symbols
Pseudodifferential operators as generalizations of partial differential operators (35S05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Pseudodifferential operators (47G30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Continuity and Schatten-von Neumann properties for localization operators on modulation spaces
- Convolution of ultradistributions and ultradistribution spaces associated to translation-invariant Banach spaces
- Anti-Wick and Weyl quantization on ultradistribution spaces
- The Bargmann transform and powers of harmonic oscillator on Gelfand-Shilov subspaces
- Wavelet transforms and localization operators
- On E. Borel's theorem
- Time-frequency analysis of localization operators.
- Foundations of time-frequency analysis
- On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution
- The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators
- Convolutions for localization 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
- The nuclearity of Gelfand-Shilov spaces and kernel theorems
- Toeplitz operators and localization operators
- Time-frequency localization operators: a geometric phase space approach
- Complex powers for a class of infinite order hypoelliptic operators
- A Multivariate Faa di Bruno Formula with Applications
- Topological properties of convolutor spaces via the short-time Fourier transform
- On weighted inductive limits of spaces of ultradifferentiable functions and their duals
This page was built for publication: Extension of localisation operators to ultradistributional symbols with super-exponential growth
