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Ville Turunen

Researcher at Helsinki University of Technology

Publications -  28
Citations -  1181

Ville Turunen is an academic researcher from Helsinki University of Technology. The author has contributed to research in topics: Fourier integral operator & Operator theory. The author has an hindex of 13, co-authored 28 publications receiving 1061 citations. Previous affiliations of Ville Turunen include Aalto University.

Papers
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Book

Pseudo-Differential Operators and Symmetries: Background Analysis and Advanced Topics

Michael Ruzhansky, +1 more
TL;DR: In this paper, Fourier analysis on Compact Lie Group (CLG) and Fourier Analysis on SU(2) is used to analyze pseudo-differential operators on SU (2).
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Quantization of Pseudo-differential Operators on the Torus

Michael Ruzhansky, +1 more
- 01 Dec 2010 - 
TL;DR: Pseudo-differential and Fourier series operators on the torus were analyzed in this paper by using global representations by Fourier-series instead of local representations in coordinate charts and the correspondence between toroidal and Euclidean symbols of pseudodifferential operators was established.
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Global quantization of pseudo-differential operators on compact Lie groups, SU(2), 3-sphere, and homogeneous spaces

Michael Ruzhansky, +1 more
- 01 Jan 2013 - 
TL;DR: In this paper, a global quantization of pseudo-differential operators on general compact Lie groups is introduced relying on the representation theory of the group rather than on expressions in local coordinates.
Journal ArticleDOI

Hörmander Class of Pseudo-Differential Operators on Compact Lie Groups and Global Hypoellipticity

Michael Ruzhansky, +2 more
- 08 Apr 2014 - 
TL;DR: In this article, the authors give several global characterisations of the Hormander class of pseudo-differential operators on compact Lie groups in terms of the representation theory of the group.
Journal ArticleDOI

Global quantization of pseudo-differential operators on compact Lie groups, SU(2) and 3-sphere

Michael Ruzhansky, +1 more
- 20 Dec 2008 - 
TL;DR: In this paper, a 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 coordinates.