The Gabor wave front set in spaces of ultradifferentiable functions
From MaRDI portal
Publication:1712574
DOI10.1007/s00605-018-1242-3zbMath1407.35003arXiv1706.08413OpenAlexW2964306089WikidataQ128825678 ScholiaQ128825678MaRDI QIDQ1712574
Chiara Boiti, David Jornet, Alessandro Oliaro
Publication date: 22 January 2019
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.08413
Pseudodifferential operators as generalizations of partial differential operators (35S05) General harmonic expansions, frames (42C15) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Wave front sets in context of PDEs (35A18)
Related Items
Quantizations and global hypoellipticity for pseudodifferential operators of infinite order in classes of ultradifferentiable functions ⋮ An introduction to the Gabor wave front set ⋮ The Wigner global wave front set in spaces of tempered ultradistributions ⋮ Microlocal analysis for Gelfand-Shilov spaces ⋮ Anisotropic global microlocal analysis for tempered distributions ⋮ Kernel theorems for Beurling-Björck type spaces ⋮ Compactness of localization operators on modulation spaces of \(\omega\)-tempered distributions ⋮ Characterization of nuclearity for Beurling–Björck spaces ⋮ Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting ⋮ About the Nuclearity of $$\mathcal {S}_{(M_{p})}$$ and $$\mathcal {S}_{\omega }$$ ⋮ The nuclearity of Gelfand-Shilov spaces and kernel theorems ⋮ Regularity of global solutions of partial differential equations in non isotropic ultradifferentiable spaces via time-frequency methods ⋮ Real Paley-Wiener theorems in spaces of ultradifferentiable functions ⋮ Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis ⋮ Time-periodic Gelfand-Shilov spaces and global hypoellipticity on \(\mathbb{T}\times\mathbb{R}^n\) ⋮ Global wave front sets in ultradifferentiable classes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Microlocal properties of Shubin pseudodifferential and localization operators
- Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms
- Anti-Wick and Weyl quantization on ultradistribution spaces
- A basis theory primer.
- Convex analysis and nonlinear optimization. Theory and examples.
- Hermite functions and weighted spaces of generalized functions
- Quasianalytic wave front sets for solutions of linear partial differential operators
- Duality and biorthogonality for Weyl-Heisenberg frames
- Foundations of time-frequency analysis
- A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions
- The overdetermined Cauchy problem for \(\omega \)-ultradifferentiable functions
- Wave front sets with respect to the iterates of an operator with constant coefficients
- The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators
- Propagation of the homogeneous wave front set for Schrödinger equations
- Ultradifferentiable functions and Fourier analysis
- Spaces of test functions via the STFT
- Images of function and distribution spaces under the Bargmann transform
- Pseudodifferential operators of infinite order in spaces of tempered ultradistributions
- Propagation of exponential phase space singularities for Schrödinger equations with quadratic Hamiltonians
- A characterization of the wave front set defined by the iterates of an operator with constant coefficients
- The Gabor wave front set
- A comparison of two different ways to define classes of ultradifferentiable functions
- Pseudodifferential operators of Beurling type and the wave front set
- Linear partial differential operators and generalized distributions
- Fourier integral operators. I
- Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions
- Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes
- Equality of the homogeneous and the Gabor wave front set
- Pseudodifferential operators on non-quasianalytic classes of Beurling type
- An introduction to frames and Riesz bases