### Department of Mathematics and Systems Analysis

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

- A487
**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
- A467
**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
- A465
**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
- A464
**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
- A462
**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
- A440
**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
- A436
**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
- A431
**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
- A415
**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)
- A408
**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
- A386
**On Symbol Analysis of Periodic Pseudodiff. Oper.**[pdf][pdf.gz]- Received 1997-12-30

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