[图书][B] Time-frequency analysis of operators
E Cordero, L Rodino - 2020 - books.google.com
This authoritative text studies pseudodifferential and Fourier integral operators in the
framework of time-frequency analysis, providing an elementary approach, along with …
framework of time-frequency analysis, providing an elementary approach, along with …
Propagation of exponential phase space singularities for Schrödinger equations with quadratic Hamiltonians
E Carypis, P Wahlberg - Journal of Fourier Analysis and Applications, 2017 - Springer
We study propagation of phase space singularities for the initial value Cauchy problem for a
class of Schrödinger equations. The Hamiltonian is the Weyl quantization of a quadratic form …
class of Schrödinger equations. The Hamiltonian is the Weyl quantization of a quadratic form …
The Gabor wave front set in spaces of ultradifferentiable functions
C Boiti, D Jornet, A Oliaro - Monatshefte für Mathematik, 2019 - Springer
We consider the spaces of ultradifferentiable functions S _ ω S ω as introduced by Björck
(and its dual S'_ ω S ω′) and we use time-frequency analysis to define a suitable wave …
(and its dual S'_ ω S ω′) and we use time-frequency analysis to define a suitable wave …
Equality of the homogeneous and the Gabor wave front set
R Schulz, P Wahlberg - Communications in Partial Differential …, 2017 - Taylor & Francis
We prove that Hörmander's global wave front set and Nakamura's homogeneous wave front
set of a tempered distribution coincide. In addition, we construct a tempered distribution with …
set of a tempered distribution coincide. In addition, we construct a tempered distribution with …
Beyond Gevrey regularity
S Pilipović, N Teofanov, F Tomić - Journal of Pseudo-Differential Operators …, 2016 - Springer
We define and study classes of smooth functions which are less regular than Gevrey
functions. To that end we introduce two-parameter dependent sequences which do not …
functions. To that end we introduce two-parameter dependent sequences which do not …
Propagation of polynomial phase space singularities for Schrödinger equations with quadratic Hamiltonians
P Wahlberg - Mathematica scandinavica, 2018 - JSTOR
We study propagation of phase space singularities for a Schrödinger equation with a
Hamiltonian that is the Weyl quantization of a quadratic form with non-negative real part …
Hamiltonian that is the Weyl quantization of a quadratic form with non-negative real part …
On the characterizations of wave front sets in terms of the short-time Fourier transform
S Pilipović, B Prangoski - Mathematical Notes, 2019 - Springer
It is well known that the classical and Sobolev wave fronts were extended to nonequivalent
global versions by the use of the short-time Fourier transform. In this very short paper, we …
global versions by the use of the short-time Fourier transform. In this very short paper, we …
Conormal distributions in the Shubin calculus of pseudodifferential operators
M Cappiello, R Schulz, P Wahlberg - Journal of Mathematical Physics, 2018 - pubs.aip.org
We characterize the Schwartz kernels of pseudodifferential operators of Shubin type by
means of a Fourier-Bros-Iagolnitzer transform. Based on this, we introduce as a …
means of a Fourier-Bros-Iagolnitzer transform. Based on this, we introduce as a …
Wave front sets with respect to Banach spaces of ultradistributions. Characterisation via the short-time Fourier transform
P Dimovski, B Prangoski - arXiv preprint arXiv:1801.10358, 2018 - arxiv.org
arXiv:1801.10358v2 [math.AP] 24 Sep 2018 Page 1 arXiv:1801.10358v2 [math.AP] 24 Sep
2018 WAVE FRONT SETS WITH RESPECT TO BANACH SPACES OF …
2018 WAVE FRONT SETS WITH RESPECT TO BANACH SPACES OF …
The equality of the homogeneous and the Gabor wave front set
R Schulz, P Wahlberg - arXiv preprint arXiv:1304.7608, 2013 - arxiv.org
We prove that H\" ormander's global wave front set and Nakamura's homogeneous wave
front set of a tempered distribution coincide. In addition we construct a tempered distribution …
front set of a tempered distribution coincide. In addition we construct a tempered distribution …