115 citations · 211 across the 7 of their papers we have counts for
7 papers
Time-frequency analysis on groups
Ville Turunen
Phase-space analysis or time-frequency analysis can be thought as Fourier analysis simultaneously both in time and in frequency, originating from signal processing and quantum mech…
Sharp Garding inequality on compact Lie groups
Michael Ruzhansky, Ville Turunen
In this paper the sharp Garding inequality is established on compact Lie groups. The positivity condition is expressed in the non-commutative phase space in terms of the full symbo…
Hormander class of pseudo-differential operators on compact Lie groups and global hypoellipticity
Michael Ruzhansky, Ville Turunen, Jens Wirth
In this paper we give several global characterisations of the Hormander class of pseudo-differential operators on compact Lie groups. The result is applied to give criteria for the…
Global quantization of pseudo-differential operators on compact Lie groups, SU(2) and 3-sphere
Michael Ruzhansky, Ville Turunen
Global quantization of pseudo-differential operators on compact Lie groups is introduced relying on the representation theory of the group rather than on expressions in local coord…
Quantization of pseudo-differential operators on the torus
Michael Ruzhansky, Ville Turunen
Pseudo-differential and Fourier series operators on the n-torus are analyzed by using global representations by Fourier series instead of local representations in coordinate charts…
On pseudo-differential operators on group SU(2)
Michael Ruzhansky, Ville Turunen
In this paper we will outline elements of the global calculus of seudo-differential operators on the group SU(2). This is a part of a more general approach to pseudo-differential o…
On the Fourier analysis of operators on the torus
Michael Ruzhansky, Ville Turunen
Basic properties of Fourier integral operators on the torus are studied by using the global representations by Fourier series instead of local representations. The results can be a…