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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