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. Click to
download
pdf
file.
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. USSR
Sbornik
64 (1989), no. 2, 323-338,
MR 90d:30129.
Click to
download pdf
file.
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. Click to
download
pdf
file.
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. Click to
download
pdf
file.
5. A Titchmarsh-type convolution theorem on
the group Z, Arkiv för
Matematik 27 (1989), no. 2, 179-187,
MR 90m:42019. Click to
download pdf
file.
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. Click to
download
pdf
file.
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. Click
to
download pdf
file.
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.Click to
download pdf
file.
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. Click to
download pdf
file.
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. Click to
download
pdf
file.
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 Uppsala,
Sweden,
June
15-18, 1997 (eds. Kiselman,
Vretblad). Uppsala:
Uppsala
University,
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.
33. Slow
area-preserving diffeomorphisms of the torus,
Israel
Journal of Mathematics 141
(2004),
277-284,
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; English translation in
St.-Petersburg Mathematical Journal 21 (2010),
no. 6, 877-891, MR 2011h:31006;
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, MR 2011c:47091; 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, MR
2011f:30098; 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, MR
2012a:42056; 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, MR 2011m:34070; see also
preprint http://arxiv.org/abs/1004.1795.
49. (with Yu.Tomilov)
Boundary uniqueness of harmonic functions and spectral subspaces of
operator
groups,
Revista
Matemática Iberoamericana 28 (2012) 93-112, MR2904132;
see also
preprint
http://arxiv.org/abs/1003.2805.
50. (with A.Baranov, Yu.Belov) A
restricted shift completeness problem,
Journal of Functional Analysis
263 (2012) 1887-1893, MR2956929; see also preprint http://arxiv.org/abs/1204.4648.
51. (with D.Hadwin, H.Yousefi) Stable and
norm-stable invariant subspaces, Journal
of Operator Theory
69 (2013) 101-114, MR3029485; see also preprint http://arxiv.org/abs/1001.1018v2.
52. (with P.Janakiraman,
A.Volberg) On Burkholder function for orthogonal martingales and zeros of
Legendre polynomials,
American
Mathematical
Journal 135 (2013) 207-236, MR3022963; see also
preprint http://arxiv.org/abs/1002.2314.
53. (with A.Baranov, Yu.Belov) Hereditary completeness for systems
of exponentials and reproducing kernels,
Advances in Mathematics 235
(2013) 525-554, MR3010068; see also preprint http://arxiv.org/abs/1112.5551.
54. (with P.Janakiraman, A.Volberg) Subordination by orthogonal
martingales in $L^p$ and zeros of
Laguerre polynomials,
Duke
Mathematical
Journal 162 (2013) 889-924, MR3047469;
see also
preprint http://arxiv.org/abs/1012.0943.
55. (with Yu.Bilu) Remarks on Eisenstein, Journal
of the Australian
Mathematical Society 94 (2013) 158-180,
MR3109740; see also preprint http://arxiv.org/abs/1112.2290.
56. Generalized Carleson-Newman inner
functions,
Mathematische
Zeitschrift 275 (2013) 1197-1206,
MR3127054; see also preprint http://arxiv.org/abs/1203.4731.
57. (with A.Baranov, Yu.Belov,
D.Yakubovich) Recent developments in spectral synthesis for exponential
systems and for non-self-adjoint operators
, Recent
Trends in Analysis, Proceedings of the conference in honor
of Nikolai Nikolski (Bordeaux, 2011), Theta, Bucharest, 2013,
17-34; see also preprint http://arxiv.org/abs/1212.6014.
58. (with
H.Hedenmalm)
Weighted integrability of polyharmonic functions,
Advances in Mathematics
264 (2014), 464-505, MR3250291; see also preprint http://arxiv.org/abs/1211.5088.
59. (with
O.El Fallah, A.Hanine) Cyclicity in weighted Bergman type spaces,
Journal
de Mathématiques Pures
et Appliqués (9) 102
(2014), 1041-1061, MR3277434; see also preprint http://arxiv.org/abs/1304.0994.
60.
(with G.Rozenblum) The finite rank
theorem for Toeplitz operators in the Fock space, Journal
of Geometric
Analysis 25 (2015), 347-356, MR3299286; see
also preprint http://arxiv.org/abs/1303.2996.
61.
(with A.Baranov, Yu.Belov)
Spectral
synthesis in de Branges spaces, Geometric
and Functional Analysis
25 (2015), 417-452, MR3334232; see
also preprint http://arxiv.org/abs/1309.6915.
62. (with A.Hartmann, K.Kellay,
X.Massaneda)
Multiple
sampling and interpolation in the classical Fock space,
Zapiski Nauchnyh Seminarov
POMI 434 (2015), 53-56; see also preprint
http://arxiv.org/abs/1508.03003.
63. (with Ch.Batty, Yu.Tomilov)
L^p-tauberian theorems and L^p-rates for energy decay, Journal
of Functional Analysis,
270 (2016), 1153-1201, MR3438332; see
also preprint http://arxiv.org/abs/1403.6084.
64.
(with L.Baratchart, S.Chaabi)
Pseudo-holomorphic functions at the critical exponent,
Journal of the European
Mathematical Society 18 (2016) 1919-1960, MR3531666; see also
preprint http://arxiv.org/abs/1309.3079.
65.
(with A.Hartmann, K.Kellay, X.Massaneda)
Geometric conditions for multiple sampling and interpolation
in the Fock space, Advances
in Mathematics 304 (2017),
1262-1295; see
also preprint http://arxiv.org/abs/1508.03932.
66. (with
A.Nicolau, P.Thomas)
Weak Embedding Property,
Inner Functions and Entropy, Mathematische
Annalen
368 (2017), 987-1015; see
also preprint http://arxiv.org/abs/1508.01336.
67.
(with A.Baranov, Yu.Belov)
Riesz bases of reproducing kernels in Fock type spaces and de Branges
spaces,
Studia
Mathematica
236 (2017), 127-142; see also preprint http://arxiv.org/abs/1512.09001.
68. (with A.Nishry,
M.Sodin)
Entire functions of exponential type
represented by pseudo-random and random
Taylor series, Journal d'Analyse
Mathematique
133 (2017), 361-396; see
also preprint http://arxiv.org/abs/1409.2736.
69.
(with M.Sodin, B.Weiss)
Spectra of stationary processes on Z, 50 Years with Hardy Spaces,
A Tribute to Victor Havin (eds. A.Baranov, S.Kisliakov, N.Nikolski),
Operator Theory: Advances and Applications,
vol. 261, 2018, 141-157; see
also preprint http://arxiv.org/abs/1701.03407.
70.
(with A.Baranov, Yu.Belov)
Summability properties of Gabor expansions,
Journal
of Functional Analysis
274 (2018), 2532-2552; see also
preprint http://arxiv.org/abs/1706.05685.
71. (with
A.Baranov, Yu.Belov)
The Young type theorem in
weighted Fock spaces, Bulletin
of
the London
Mathematical Society 50
(2018), 357-363; see also preprint http://arxiv.org/abs/1705.05778.
72. (with L.Golinskii,
S.Kupin) On
zeros of analytic functions satisfying non-radial growth conditions,
Revista
Matemática Iberoamericana 34 (2018), 1153-1176;
see
also
preprint http://arxiv.org/abs/1603.04104.
73.
(with Yu.Belov, K.Fedorovskiy) Nevanlinna domains with large boundaries,
Journal
of Functional Analysis
277
(2019), 2617-2643; see also preprint http://arxiv.org/abs/1808.07436.
74. (with Yu.Belov, A.Kuznetsov) Upper and lower densities of Gabor
Gaussian Systems, Applied and
Computational Harmonic Analysis 49 (2020), 438-450;
see also
preprint arXiv:2003.08702.
75. (with A.Kononova, M.Sodin) Notes on the Szegö minimum problem. I.
Measures with deep zeroes,
Israel
Journal of Mathematics 240 (2020) 725-743; see also preprint arXiv:1902.00874.
76. (with A.Kononova, M.Sodin) Notes on the Szegö minimum problem. II.
Singular measures,
Israel
Journal of Mathematics 240 (2020) 745–767; see also
preprint arXiv:1902.00872.
77. (with E.Abakumov, K.Fedorovskiy) Chui's conjecture
in Bergman spaces, to appear in
Mathematische
Annalen (2020); see also
preprint arXiv:2009.01898.
78. (with Yu.Belov) The Newman-Shapiro problem
,
see preprint http://arxiv.org/abs/1711.06901.
79. (with R.Frank, A.Volberg) Counting eigenvalues of Schrödinger operator
with complex fast decreasing potential
,
see preprint http://arxiv.org/abs/1811.05591.
80. (with J.Benatar, M.Sodin) The "pits effect" for entire functions of
exponential type and the Wiener spectrum,
Conference
proceedings
81.
(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.
82. (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.
83. (Editors Alexander Borichev, Raymond Mortini, Nicolai
Nikolski, and Kristian Seip)
Operator
theory and harmonic analysis. Abstracts from the workshop held
October 31-November 6,
2010, Oberwolfach Rep. 7 (2010), no. 4, 2813-2875.
84.
(Editors Alexander Borichev, Kenneth R. Davidson, Stanislas Kupin,
Gilles Pisier,
Florian-Horia
Vasilescu, and Vasiliy Vasyunin) Recent Trends in Analysis,
Proceedings of the conference in honor of Nikolai Nikolski
(Bordeaux, 2011), Theta,
Bucharest, 2013, vii+244 pp.
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.
25-26.03.2013
Journées d'Analyse Harmonique, Marseille, France.
27-31.10.2014
Function Spaces and Harmonic Analysis, CIRM, Marseille, France.
30.11-4.12.2015
Journées du Gdr Analyse Fonctionnelle, Harmonique et Probabilités,
CIRM, Marseille, France.
19-27.4.2017
Contemporary quasianalyticity problems,
Warsaw, Poland.
22-26.5.2017 Hilbert
spaces of entire functions and their applications,
Będlewo, Poland.
1-3.6.2017
Function theory and dynamics of point processes, Euler International
Mathematical Institute, St. Petersburg, Russia
12-16.6.2017 Complex
and Functional Analysis and their interactions with Harmonic Analysis,
Będlewo, Poland.
4-5.12.2017
Journées d'Analyse et Géométrie complexes en l'honneur de Bernard
Coupet, I2M, Marseille, France
23-27.4.2018
Complex Analysis and Related Topics 2018, Euler International
Mathematical Institute, St. Petersburg, Russia
15-27.4.2019
International Spring School "Spectral Function Theory",
Chebyshev Laboratory, St. Petersburg State University, St. Petersburg,
Russia
13-17.5.2019, One-dimensional complex analysis and operator theory, Euler
International Mathematical Institute, St. Petersburg, Russia
3-7.6.2019,
Reproducing Kernels in Function Spaces and Their Applications,
Euler
International Mathematical Institute, St. Petersburg, Russia