Department of Mathematics and Systems Analysis


Research reports by Ville Turunen

Here are the reports authored by Ville Turunen. See the reports of all authors.

Helsinki University of Technology Institute of Mathematics Research Reports A

Ville Turunen
Differentiability in locally compact metric spaces   [pdf][ps] abstract: [pdf][ps]
Received 2005-05-03 * Metric space, dot product, comparison angles, Cauchy--Schwarz, curvature, Lipschitz functions, tangents, differentiability * AMS 51K05, 53C45, 53C70, 54E40 * 28 pages
Jarmo Malinen, Olavi Nevanlinna, Ville Turunen, Zhijian Yuan
A lower bound for the differences of powers of linear operators   [pdf][ps] abstract: [pdf][ps]
Received 2004-03-18 / Revised 2004-05-18 * Berkani's conjecture, quasi-nilpotent linear operator, differences of powers, decay * AMS 47A30, 47D03, 47A10, 30C45 * 10 pages
Ville Turunen
Function Hopf algebra and pseudodifferential operators on compact Lie groups   [pdf][ps] abstract: [pdf][ps]
Received 2004-06-01 * Hopf algebras, pseudodifferential operators, compact Lie groups, function algebra, convolution * AMS 16W30, 47L80, 47G30, 22E30, 46E25, 43A77, 58J40, 35S05 * 14 pages
Ville Turunen
Sampling at equiangular grids on the 2-sphere and estimates for Sobolev space interpolation   [pdf][ps] abstract: [pdf][ps]
Received 2003-11-28 * spherical harmonics, sampling, equiangular grid, interpolation, Sobolev space estimates * AMS 65T40, 33C55, 46E35, 42C10, 65T50 * 19 pages
Ville Turunen
Pseudodifferential calculus on the 2-sphere   [pdf][ps] abstract: [pdf][ps]
Received 2003-10-27 * Pseudodifferential operators, symbol calculus, asymptotic expansions, spherical harmonics, rotation group * AMS 58J40, 33C55, 22E30, 47G30, 35S05 * 9 pages
Ville Turunen
Pseudodifferential calculus on compact Lie groups and homogeneous spaces   [pdf][ps]
Received 2001-09-30 * periodic pseudo-differential operators, Lie groups, homogeneous spaces, non-commutative Fourier analysis, Schwartz kernels, operator-valued symbols, asymptotic expansions, analysis on sphere * AMS 35S05, 22E30, 43A77, 43A85, 46A32, 46E40, 47G30, 58J40, 47B47
Ville Turunen
Pseudodifferential calculus on compact homogeneous spaces   [pdf][ps]
Received 2001-06-30 * pseudodifferential operators, homogeneous spaces, Lie groups, analysis on sphere * AMS 35S05, 43A85, 22E30, 47G30
Ville Turunen
Pseudodifferential calculus on compact Lie groups   [pdf][ps]
Received 2001-06-30 * pseudodifferential operators, Lie groups, non-commutative Fouriertransform, operator-valued functions, symbol calculus, Schwartz kernels, asymptotic expansions, parametrices, commutators * AMS 35S05, 22E30, 43A77, 46A32, 46E40, 58J40, 47B47, 47G30
Ville Turunen
A smooth operator valued symbol analysis   [pdf][ps]
Received 1999-08-30 * Pseudodifferential operators, Fourier series, symbol analysis, operator-valued, non-commutative, Fourier transform, quasidifference operators, asymptotic expansions, Schwartz kernels, commutators * AMS 35S05, 43A30 (primary), 22E30, 42A20, 43A75, 43A77, 46E40, 46F05, 47A05, 47A56, 47G30, 58G15(secondary)
Ville Turunen
Commutator Characterization of Periodic Pseudodifferential Operators   [pdf][ps]
Received 1998-12-30 * Commutators, pseudodifferential operators on manifolds, periodic pseudodifferential operators * AMS Primary 47G30, secondary 47B47, 58G15
Ville Turunen, Gennadi Vainikko
On Symbol Analysis of Periodic Pseudodiff. Oper.   [pdf][pdf.gz]
Received 1997-12-30

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