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Quadrature domains, harmonic moments, lemniscates HOME

Quadrature domains, harmonic moments, lemniscates

  1. On the exponential transform of multi-sheeted algebraic domains  (with B. Gustafsson),
    Computational Methods and Function Theory, 2011, 11(2):91-615 [arxiv:1101.0799]

  2. On the exponential transform of lemniscates  (with B. Gustafsson),
    in Trends in Mathematics, Notions of Positivity and the Geometry of Polynomials (eds. P. Branden, M. Passare and M. Putinar), 2011, 239-257 [arxiv:1101.0794]

  3. On the Jacobian of the harmonic moment map   (with B. Gustafsson),
    Complex Anal. and Operator Theory, 2009, 3(2):399-417 [arxiv:0903.3471]

  4. The resultant on compact Riemann surfaces   (with B. Gustafsson),
    Comm. Math. Physics 2009, 286:313-358, [arxiv:0710.2326]

  5. Positive definite collections of disks
    Indiana Univ. Math. J., 2006, 55(6):380-388. [arxiv:0709.4460]

  6. Subharmonicity of higher dimensional exponential transforms,
    Operator Theory: Advances and Appl., 2005, 156:257-277, [arxiv:0902.2742]

  7. Ullemar formula for the moment map, II,
    Linear Algebra and Appl., 2005, 404: 380-388, [arxiv:0709.4275]

  8. Ullemar's formula for the Jacobian of the complex moment mapping (with Kuznetsova O.S.),
    Complex Variables and Appl., 2004, 49:55-72, [arxiv:0306324]

  9. Length functions on lemniscates, (with Kuznetsova O.S.)
    Manuscripta Math., 2003, 112(4):519-538, [arxiv:0306327]

  10. Unsolved problems in analysis
    Vestnik VolSU. Ser. I: Math., 2002, 7:20-33. (in Russian)

  11. Asymptotic properties of solutions of the Hele-Shaw equation (with Kuznetsova O.S.),
    Dokl. Akad. Nauk, 1999, 367(2):164-165. PDF

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    Last updated: 2019-11-29