Department of Mathematics and Systems Analysis

Current

Research reports by Antti Rasila

Here are the reports authored by Antti Rasila. See the reports of all authors.

Aalto University publication series Science + Technology

ST 3/2012
Saminathan Ponnusamy, Tri Quach, Antti Rasila
Harmonic shears of slit and polygonal mappings   [pdf]
Received 2012-01-10 * Harmonic univalent mappings, convex along real directions, convex functions, harmonic shear, polygonal mappings, slit mappings, and minimal surfaces * AMS 30C99, 30C62, 31A05, 53A10 * 17 pages
ST 21/2011
Harri Hakula, Tri Quach, Antti Rasila
Conjugate function method for numerical conformal mappings   [pdf]
Received 2011-09-30 * numerical conformal mappings, conformal modulus, quadrilaterals, canonical domains * AMS 30C30, 65E05, 31A15, 30C85 * 22 pages

Helsinki University of Technology Institute of Mathematics Research Reports A

A589
Antti Rasila, Jarno Talponen
Convexity properties of quasihyperbolic balls on Banach spaces   [pdf][ps]
Received 2010-08-06 * quasihyperbolic metric, distance ratio metric, uniform convexity, starlikeness, Banach spaces, Hilbert spaces, Radon-Nikodym property * AMS 30C65, 46T05 * 19 pages
A576
Saminathan Ponnusamy, Antti Rasila
On zeros and boundary behavior of bounded harmonic functions   [pdf][ps]
Received 2009-08-28 * analytic and planar harmonic functions, angular limits, multiplicity of zeroes * AMS 30C15, 31A20 * 10 pages
A575
Harri Hakula, Antti Rasila, Matti Vuorinen
On moduli of rings and quadrilaterals: algorithms and experiments   [pdf][ps]
Received 2009-08-28 * conformal capacity, conformal modulus, quadrilateral modulus, hp-FEM, numerical conformal mapping * AMS 65E05, 31A15, 30C85 * 21 pages
A558
José Igor Morlanes, Antti Rasila, Tommi Sottinen
Empirical evidence on arbitrage by changing the stock exchange   [pdf][ps]
Received 2008-12-09 * arbitrage, option-pricing volatility * AMS 91B28, 60H30 * 10 pages
A542
Vladimir M. Miklyukov, Antti Rasila, Matti Vuorinen
Stagnation zones for A-harmonic functions on canonical domains   [pdf][ps]
Received 2008-02-14 / Revised 2008-02-20 * stagnation zone, A-harmonic function, Saint-Venant principle, Phragmén-Lindelöf principle * AMS 31C45, 35J65, 46E35 * 23 pages
A502
Vladimir M. Miklyukov, Antti Rasila, Matti Vuorinen
Three spheres theorem for p-harmonic functions   [pdf][ps] abstract: [pdf][ps]
Received 2006-06-20 * three circles theorem, p-harmonic functions, p-Laplacian * AMS 35J60,35B05,35B50 * 17 pages

Page content by: webmaster-math [at] list [dot] aalto [dot] fi