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Fakultet for informasjonsteknologi, matematikk og elektroteknikk > Institutt for matematiske fag > Ansatte > Eugenia Malinnikova

Eugenia Malinnikova, Publications

Function theory

15.	(subm)	(with K.Eikrem) Radial growth of harmonic functions in the unit ball, to appear in Math. Scand, ( pdf-file in arxiv)
14.	(2012)	(with Yu.Lyubarskii) Radial oscillation of harmonic functions in the Korenblum space, Bull. London Math. Soc, 44, 68-84, doi: 10.1112/blms/bdr071.
13.	(2009)	(with A.Borichev, Yu.Lyubarskii, and P.Thomas) Radial growth of functions in the Korenblum space, Algebra i Analiz, 21, no. 6, 47-65. ( pdf-file in arxiv)
12.	(2001)	(with Yu.Lyubarskii) On approximation by subharmonic functions, J. d'Analyse Math., 83, 121--149.

Time frequency analysis

11.	(subm)	(with K.Gröchenig) Phase Space Localization of Riesz bases for L²(R^d), to appear in Rev. Mat. Iberoam.,( pdf-file in arxiv)
10.	(2010)	Orthonormal sequences in L²(R^d) and time frequency localization, J. Fourier Anal. and Appl., 16, 983-1006, doi 10.1007/s00041-009-9114-9

Elliptic PDE

9.	(subm)	(with S.Vessella) Quantitative uniqueness for elliptic equations with singular lower order terms, Math. Ann, doi 10.1007/s00208-011-0712-x
8.	(2008)	Quantitative transfer of smallness for solutions of elliptic equations with analytic coefficients and their gradients, 1185-1193, in "More Progress in Analysis", World Scientific.
7.	(2004)	Propagation of smallness for solutions of generalized Cauchy-Riemann equations, Proc. Edinb. Math. Soc. (2), 47, 181- 192.

Harmonic differential forms

6.	(2007)	On the existence of harmonic differential forms with prescribed singularities, in Complex analysis and potential theory, 207-213, World Sci. Publ, Hackensack, NJ, 2007
5.	(2004)	Measures on the sphere orthogonal to harmonic gradients, in Complex analysis and dynamical systems, 181--192, Contemp. Math., 364, Amer. Math. Soc., Providence, RI
4.	(2000)	The theorem on three spheres for harmonic differential forms, Operator theory, Advances and Applications, vol.113, 213-220.
3.	(1999)	Uniform approximation by harmonic differential forms on compact subsets of a Riemannian manifold, Algebra i Analiz, 11, no. 4, 115-138
2.	(1997)	(with V.Khavin) Uniform approximation by harmonic differential forms. A constractive approach, Algebra i Analiz, 9, no. 6, 156-196

Miscellaneous

1.

(1995)

(with S.Rukshin) On one Steinhaus problem, Vestnik St.Petersburg Univ. Math. 28, no. 1, 28-32.