Alexander Borichev
Welcome
to my home page
Here is the list of my
publications
1. Convolution equations in spaces of
sequences with exponential
restrictions on growth, Zapiski Nauchnyh
Seminarov LOMI 149 (1986), 107-115, 188-189; English translation in J. Soviet Math. 42 (1988), no. 2,
1614-1620, MR 88f:42026.
2. Boundary uniqueness theorems for almost analytic functions and asymmetric algebras of sequences, Matemat.
Sbornik 136 (1988), no. 3, 324-340; English translation in Math.
MR 90d:30129.
3. (with A.L.Volberg) Convolution Uniqueness theorems for almost analytic functions, Algebra i Analiz 1
(1989), 146-177; English translation in Leningrad Mathematical Journal 1 (1990), no. 1, 157-191,
MR 90k:30090.
4. Convolution equations and the structure of 1- and 2-invariant subspaces in the scale of spaces of rough
growth, Doklady Akad. Nauk USSR 304 (1989), no. 4, 788-792; English translation in Soviet Math. Dokl. 39
(1989), no. 1, 140-144, MR 90d:46063.
5. A Titchmarsh-type convolution theorem on the group Z, Arkiv för Matematik 27 (1989), no. 2, 179-187,
MR 90m:42019.
6. The generalized Fourier transformation, Titchmarsh's theorem and asymptotically holomorphic functions,
Algebra i Analiz 1 (1989), no. 4, 17-53; English translation in Leningrad Mathematical Journal 1 (1990),
825-857, MR 91m:42011.
7. Completeness of systems of translates and uniqueness theorems for asymptotically holomorphic functions,
Progress in Approximation Theory (eds. A.A.Gonchar, E.B.Saff), Springer-Verlag (1992), 285-293.
8. Analytical quasianalyticity and asymptotically holomorphic functions, Algebra i Analiz 4 (1992), no. 2,
70-87; English translation in St.-Petersburg Mathematical Journal 4 (1993), no. 2, 259-272, MR 93h:30055.
9. (with H.Hedenmalm) Approximation in a class of Banach algebras of quasianalytically smooth analytic
functions, J. of Functional Analysis 114 (1993), 359-390, MR 95a:46075.
10. (with H.Hedenmalm) Completeness of translates in weighted spaces on the half-line, Acta Mathematica 174
(1995), no.1, 1-84, MR 96f:43003. Click to download pdf file.
11. (with H.Hedenmalm) Cyclicity in Bergman-type spaces, International Mathematics Research Notices
(1995), no.5, 253-262, MR 96h:46030.
12. (with A.L.Volberg) Finiteness of limit cycles and uniqueness for asymptotically holomorphic functions,
Algebra i Analiz 7 (1995), no. 3, 43-75; English translation in St.-Petersburg Mathematical Journal 7 (1996),
no. 3, 343-368, MR 96h:34045. Click to download pdf file.
13. (with H.Aikawa) Quasiadditivity and measure property of capacity and the tangential boundary behavior of
harmonic functions, Potential Theory - ICPT 94 (eds. Král, Lukes, Netuka, Veselý) (1996), 219-227,
MR 97e:31002. Click to download pdf file.
14. Beurling algebras and the generalized Fourier transform, Proceedings of the London Mathematical Society
(3) 73 (1996), 431-480, MR 97k:46063. Click to download pdf file.
15. Estimates from below and cyclicity in Bergman-type spaces, International Mathematics Research Notices
(1996), no.12, 603-611, MR 97f:46040. Click to download pdf file.
16. (with H.Aikawa) Quasiadditivity and measure property of capacity and the tangential boundary behavior of
harmonic functions, Transactions of the American Mathematical Society 348 (1996), 1013-1030,
MR 96h:31004. Click to download pdf file.
17. (with H.Hedenmalm) Harmonic functions of maximal growth: invertibility and cyclicity in Bergman spaces,
Journal of the American Mathematical Society 10 (1997), no. 4, 761-796, MR 98a:30066. Click to download
pdf file.
18. (with M.Sodin) Density of polynomials and the Hamburger moment problem, C. R. Acad. Sci. Paris 327
(1998), 11-16, MR 99e:41016. Click to download pdf file.
19. The polynomial approximation property in Fock-type spaces, Mathematica Scandinavica 82 (1998),
256-264, MR 2000i:46020. Click to download pdf file.
20. Invariant subspaces of given index in Banach spaces of analytic functions, Journal für die reine und
angewandte Mathematik 505 (1998), 23-44, MR 2000i:47010. Click to download pdf file.
21. (with M.Sodin) The Hamburger moment problem and weighted polynomial approximation on discrete
subsets of the real line, Journal d'Analyse Math. 76 (1998), 219-264, MR 2000g:44017. Click to download pdf
file.
22. (with M.Sodin) Weighted polynomial approximation and the Hamburger moment problem, Complex
Analysis and Differential Equations. Proceedings of the Marcus Wallenberg Symposium in Honor of Matts
Essén Held in
1999, MR 2001h:41005. Click to download pdf file.
23. On weighted polynomial approximation with monotonic weights, Proceedings of the American
Mathematical Society 128 (2000), 3613-3619, MR 2001b:41003. Click to download pdf file.
24. (with M.Sodin) Krein's entire functions and the Bernstein approximation problem, Illinois Journal of
Mathematics 45 (2001), 167-185, MR 2002d:30031. Click to download pdf file.
25. (with I.Kleschevich) An access theorem for continuous functions, Journal of the London Mathematical
Society 64 (2001), 81-92, MR 2002c:26019. Click to download pdf file.
26. On the closure of polynomials in weighted spaces of functions on the real line, Indiana University
Mathematical Journal 50 (2001), 829-846, MR 2003f:41005. Click to download pdf file.
27. (with R.Deville and E.Matheron) Strongly sequentially continuous functions, Quaestiones Mathematicae 24
(2001), 535-548, MR 2002k:46027. Click to download pdf file.
28. (with E.Abakumov) Shift invariant subspaces with arbitrary indices in l^p spaces, Journal of Functional
Analysis 188 (2002), 1-26, MR 2003b:47014. Click to download pdf file.
29. Convolution equations with restrictions on supports, Algebra i Analiz 14 (2002), no. 2, 1-10; St.-Petersburg
Mathematical Journal 14 (2003), no. 2, 179-187, MR 2003i:47031. Click to download pdf file.
30. On the minimum of harmonic functions, Journal d'Analyse Mathematique 89 (2003), 199-212, MR
2004h:31001. Click to download pdf file.
31. (with H.Hedenmalm and A.Volberg) Large Bergman spaces: invertibility, cyclicity, and subspaces of
arbitrary index, Journal of Functional Analysis 207 (2004), 111-160, MR 2005d:30052; see also preprint
math.FA/0304318
32. On the Bekolle-Bonami condition, Mathematische Annalen 328 (2004), 389-398, MR 2005c:30040. Click
to download pdf file.
MR 2005a:37072; see also preprint math.DS/0304199
34. (with F.Nazarov and M.Sodin) Lower bounds for quasianalytic functions, II. The Bernstein quasianalytic
functions, Mathematica Scandinavica 95 (2004), 44-58, MR 2005k:30071; see also preprint math.CA/0301217
35. Distortion growth for iterations of diffeomorphisms of the interval, Geometric and Functional Analysis
14 (2004), 941-964, MR 2005h:37084; see also preprint math.DS/0304440
36. (with Yu.Lyubarskii) Uniqueness theorems for Korenblum type spaces, Mini-Workshop: Operators on
Spaces of Analytic Functions, Oberwolfach report 36/2005, 2059-2061, see here
37. (with A.Nicolau and P.Thomas) Harmonic and superharmonic majorants on the disk, Bulletin of the London
Mathematical Society 38 (2006), no.2, 250-260, MR 2006m:31001; see also preprint math.CV/0304482
38. (with R.Dhuez and K.Kellay) Sampling and interpolation in large Bergman and Fock spaces, Journal of
functional Analysis 242 (2007), no. 2, 563-606, MR 2007h:30038; see also preprint math.CV/0506297
39. (with A.D.Baranov and V.P.Havin) Majorants of meromorphic functions with fixed poles, Indiana
University Mathematical Journal 56 (2007), no. 4, 1595-1628, MR 2008i:30034; see also preprint
math.CV/0605052
40. (with R.Chill and Yu.Tomilov) Uniqueness theorems for (sub-)harmonic functions with applications to
operator theory, Proceedings of the London Mathematical Society (3) 95 (2007), 687-708, MR 2009h:47070;
see also preprint math.CV/0512460
41. (with Yu.Lyubarskii) Uniqueness theorems for Korenblum type spaces, Journal d'Analyse Mathematique
103 (2007), 307-329, MR 2009a:30005; see also preprint math.CV/0512425
42. (with L.Golinskii, S.Kupin) A Blaschke-type condition and its application to complex Jacobi matrices,
Bulletin of the London Mathematical Society 41 (2009), 117-123, MR 2010i:47060, see also preprint
http://arxiv.org/abs/0712.0407
43. (with V.Petkov) Estimates of holomorphic functions in zero-free domains, Archiv der Mathematik 93
(2009), 47-58, MR 2010e:30036; see also preprint http://arxiv.org/abs/0906.1827.
44. (with Yu.Lyubarskii, E.Malinnikova, P.Thomas) Radial growth of functions from the Korenblum space,
Algebra i Analiz 21 (2009) no. 6, 47-65; see also preprint http://arxiv.org/abs/0903.5125
45. (with Yu.Tomilov) Optimal polynomial decay of functions and operator semigroups, Mathematische
Annalen 347 (2010) 455-478; see also preprint http://arxiv.org/abs/0910.0859
46. (with Yu.Lyubarskii) Riesz bases of reproducing kernels in Fock type spaces, Journal of the Institute
of Mathematics of Jussieu 9 (2010) 449-461; see also preprint http://arxiv.org/abs/0906.4815.
47. (with K.Gröchenig, Yu.Lyubarskii) Frame constants of Gabor frames near the critical density,
Journal de Mathématiques Pures et Appliqués 94 (2010) 170-182; see also preprint
http://arxiv.org/abs/0909.4937
48. (with M.Sodin) Weighted exponential approximation and non-classical orthogonal spectral
measures, Advances in Mathematics 226 (2011) 2503-2545, see preprint http://arxiv.org/abs/1004.1795.
49. (with Yu.Tomilov) Boundary uniqueness of harmonic functions and spectral subspaces of operator
groups, to appear in Revista Matemática Iberoamericana, see preprint http://arxiv.org/abs/1003.2805.
50. (with D.Hadwin, H.Yousefi) Stable and norm-stable invariant subspaces, to appear in
Journal of Operator Theory, see preprint http://arxiv.org/abs/1001.1018v2.
51. (with P.Janakiraman, A.Volberg) On Burkholder function for orthogonal martingales and zeros of
Legendre polynomials, to appear in American Mathematical Journal, see preprint http://arxiv.org/abs/1002.2314.
52. (with P.Janakiraman, A.Volberg) Subordination by orthogonal martingales in $L^p$ and
zeros of Laguerre polynomials, see preprint http://arxiv.org/abs/1012.0943.
Conference proceedings
53. (Editors Alexander A. Borichev
and Nikolai K. Nikolski)
Systems, Approximation, Singular Integral Operators, and Related
Topics,
Proceedings of IWOTA 2000, Operator Theory: Advances and Applications,
129,
Birkhauser Verlag,
2001,
xv+527 pp, ISBN 3-7643-6645-1, MR
2002k:00031.
54. (Editors Alexander Borichev, Hakan Hedenmalm and Kehe Zhu)
Bergman Spaces and Related Topics in Complex Analysis,
Proceedings of a Conference in Honor of Boris Korenblum's 80th Birthday,
AMS, 2006, xxi+205 pp., ISBN 0-8218-3712-5, MR
2007b:30003.
Organization of conferences
13-16.06.2000 International Conference in Operator Theory and its Applications, IWOTA--2000, Bordeaux, France.
30.09-4.10.2002 Spaces of Analytic Functions and their Operators, CIRM, Marseille, France.
16-17.05.2005 Journées d'Analyse Harmonique, Bordeaux, France.
5-9.06.2006 Spaces of Analytic Functions and their Operators, CIRM, Marseille, France.
9-10.07.2007 Recent advances in complex analysis and operator theory, Saragosa, Spain.
28.04-2.05.2008 Analysis school: Recent progress in Operator Theory and Function Theory, CIRM, Marseille, France.
2-4.05.2008 Journées Complexes du Sud, CIRM, Marseille, France.
13-17.10.2008 Petit Groupe de travail: Théorie spectrale des opérateurs et applications, CIRM, Marseille, France.
31.10-6.11.2010 Operator Theory and Harmonic Analysis, Mathematisches Forschungsinstitut Oberwolfach, Germany.
14-17.06.2011 Bellman functions in Harmonic Analysis, INRIA Sophia Antipolis Méditerrannée, France.
Enseignement
ANR Project FRAB
retour au CMI