Complete bibliography of Håkan Hedenmalm

Pre-professional publications

1. Hur definierar man derivata av godtycklig ordning? Elementa 2 (1979), 95--98.
2. Some examples of generalizations from natural numbers to real numbers, Mathematical Buds 2 (1981), 95--107.

Popular science and book reviews

1. Book review: Ch. Pommerenke: Boundary behaviour of conformal maps. Elementa 94/1, (1994), p. 39.
2. Book review: B. Beckman: Codebreakers: Arne Beurling and the Swedish crypto program during World War II. The Mathematical Intelligencer 28, No. 1 (2006), 57--59.
3. Book review: A. Stubhaug: Gösta Mittag-Leffler: a man of conviction. [Att våga sitt tärningskast] . The Mathematical Intelligencer 34, No. 1 (2012), 63--64.

Books

1. (with B. Korenblum, K. Zhu) Theory of Bergman spaces. Graduate Texts in Mathematics 199, Springer-Verlag, New York-Berlin, 2000; 286 pp.
2. (co-edited with A. Borichev, K. Zhu) Bergman spaces and related topics in complex analysis. Proceedings of a conference in honor of Boris Korenblum's 80th birthday, Barcelona, Spain, November 20--22, 2003. Contemporary Mathematics 404. Israel Mathematical Conference Proceedings. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University, 2006.

Presentations

Mathematical papers: refereed conference proceedings

1989:
1. On the f- and K-properties of certain function spaces. Contemporary Mathematics, Vol. 91 (1989), pp. 89--91.
1995:
2. Open problems in the function theory of the Bergman space, Festschrift in honour of Lennart Carleson and Yngve Domar, Proceedings of a conference at the department of Mathematics, May 1993, Acta Universitatis Upsaliensis C:58 (1995), 153--169.
1998:
3. Recent progress in the function theory of the Bergman space. Holomorphic spaces (Berkeley, CA, 1995), 35--50, Math. Sci. Res. Inst. Publ., 33, Cambridge Univ. Press, Cambridge, 1998.
4. Recent developments in the function theory of the Bergman space. European Congress of Mathematics (Budapest, Hungary, 1996), 202--217, Progress in Mathematics, 168, Birkhäuser Verlag, Basel, Switzerland, 1998.
2000:
5. Topics in the theory of Dirichlet series. Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 475, 195-203 (2000).
2001:
6. (with Alexandru Aleman, Stefan Richter, Carl Sundberg) Curious properties of canonical divisors in weighted Bergman spaces . Entire Functions in Modern Analysis: Boris Levin Memorial Conference, Israel Mathematical Conference Proceedings 15, Bar-Ilan University, 2001; pp. 1--10.
2004:
7. Dirichlet series and Functional Analysis. In the Legacy of Niels Henrik Abel, The Abel Bicentennial, Oslo 2002 (O. A. Laudal, R. Piene, editors), Springer-Verlag, 2004; pp. 673--684.
2005:
8. (with A. Aleman, S. Richter) Recent progress and open problems in the Bergman space. In Quadrature Domains and Their Applications : The Harold S. Shapiro Anniversary Volume (Operator Theory: Advances and Applications) by Peter Ebenfelt (Editor), Björn Gustafsson (Editor), Dmitry Khavinson (Editor), Mihai Putinar (Editor), Birkhäuser Boston, 2005.

Mathematical papers: refereed journals

1985:
1. On the primary ideal structure at infinity for analytic Beurling algebras. Arkiv för Matematik 23 (1985), 129--158.
1986:
2. A comparison between the closed modular ideals in L¹(w) and l¹(w). Mathematica Scandinavica 58 (1986), 275--300.
1987:
3. Bounded analytic functions and closed ideals. Journal d'Analyse Mathématique 48 (1987), 142--166.
4. Thin interpolating sequences and three algebras of bounded functions. Proceedings of the American Mathematical Society 99 (1987), 489--495.
5. (with P. Gorkin, R. Mortini) A Beurling-Rudin theorem for H^∞. Illinois Journal of Mathematics 31 (1987), 629--644.
1988:
6. Superalgebras and closed ideals. Commentationes Mathematicae (Prace Matematyczne) 28 (1988), 73--79.
7. Comparisons of ideal structures in algebras of analytic functions of several complex variables. Mathematica Scandinavica 63 (1988), 305--314.
8. Outer functions in function algebras on the bidisc. Transactions of the American Mathematical Society 306 (1988), 697--714.
9. Outer functions of several complex variables. Journal of Functional Analysis 80 (1988), 9--15.
1989:
10. Translates of functions of two variables. Duke Mathematical Journal 58 (1989), 251--297. Erratum (1996).
11. Closed ideals in the ball algebra. Bulletin of the London Mathematical Society, 21 (1989), 469--474.
1990:
12. (with A. L. Shields) Invariant subspaces in Banach spaces of analytic functions. Michigan Mathematical Journal 37 (1990), 91--104.
13. Closed ideals in the bidisc algebra. Arkiv för Matematik 28 (1990), 111--117.
1991:
14. Formal power series and nearly analytic functions. Archiv der Mathematik 57 (1991), 61--70.
15. A factorization theorem for square area-integrable analytic functions. Journal für die reine und angewandte Mathematik 422 (1991), 45--68.
1992:
16. (with K. Zhu) On the failure of optimal factorization in certain weighted Bergman spaces. Complex Variables, Theory and Applications 19 (1992), 165--176.
17. A factoring theorem for a weighted Bergman space. Algebra i Analiz 4 (1992), 167--176. (in modified form) St. Petersburg Mathematical Journal 4 (1993), 163--174.
1993:
18. (with A. Borichev) Approximation in a class of Banach algebras of quasianalytically smooth analytic functions. Journal of Functional Analysis 115 (1993), 359--390.
19. An invariant subspace of the Bergman space having the codimension two property. Journal für die reine und angewandte Mathematik 443 (1993), 1--9.
20. Spectral properties of invariant subspaces in the Bergman space. Journal of Functional Analysis 116 (1993), 441--448.
1994:
21. A factoring theorem for the Bergman space. Bulletin of the London Mathematical Society 26 (1994), 113--126.
22. A computation of Green functions for the weighted biharmonic operators Δ|z|^-2αΔ, with α>1. Duke Mathematical Journal 75 (1994), 51--78.
23. (with H. Ehrsson, A. Andersson, B. Elfsson) Determination of the acid dissociation constant for cis-diamineaquachloroplatinum(II)-ion. A hydrolysis product of cisplatin. Journal of Pharmaceutical Sciences 83 (1994), 859--862.
1995:
24. (with A. Borichev) Completeness of translates in weighted spaces on the half-line. Acta Mathematica 174 (1995), 1--84.
25. (with Y. Ben Natan, Y. Benyamini, Y. Weit) Wiener's tauberian theorem in L¹(G//K) and harmonic functions in the unit disk. Bulletin of the American Mathematical Society 32 (1995), 43--49.
26. (with A. Borichev) Cyclicity in Bergman-type spaces. International Mathematics Research Notices 5 (1995), 253--262.
1996:
27. (with B. Korenblum, K. Zhu) Beurling-type invariant subspaces of the Bergman spaces. Journal of the London Mathematical Society 53 (1996), 601--614.
28. (with S. Richter, K. Seip) Interpolating sequences and invariant subspaces of given index in the Bergman spaces. Journal für die reine und angewandte Mathematik 477 (1996), 13--30.
29. (with Y. Ben Natan, Y. Benyamini, Y. Weit) Wiener's tauberian theorem for spherical functions on the automorphism group of the unit disk. Arkiv för Matematik 34 (1996), 199--224.
1997:
30. Boundary value problems for weighted biharmonic operators. St Petersburg Mathematical Journal 8 (1997), 661--674.
31. (with P. Lindqvist, K. Seip) A Hilbert space of Dirichlet series and systems of dilated functions in L²(0,1). Duke Mathematical Journal 86 (1997), 1--37.
32. (with A. Borichev) Harmonic functions of maximal growth: invertibility and cyclicity in Bergman spaces. Journal of the American Mathematical Society 10 (1997), 761--796.
1998:
33. Maximal invariant subspaces in the Bergman space. Arkiv för Matematik 36 (1998), 97--101.
34. (with A. Abkar) Invariant subspaces on multiply connected domains. Publicacions Matemàtiques 42 (1998), 521--557.
1999:
35. (with S. Jakobsson, S. Shimorin) A maximum principle à la Hadamard for biharmonic operators with applications to the Bergman spaces. Comptes Rendus de l'Academie des Sciences (Paris) 328 I (1999), 973--978.
36. (with P. Lindqvist, K. Seip) Addendum to "A Hilbert space of Dirichlet series and systems of dilated functions in L²(0,1)". Duke Mathematical Journal 99 (1999), 175--178.
37. (with J. Gordon) The composition operators on the space of Dirichlet series with square summable coefficients. Michigan Mathematical Journal 46 (1999), 313-329.
2000:
38. An off-diagonal estimate of Bergman kernels. Journal de Mathématiques Pures et Appliquées 79 (2000), 163--172.
2001:
39. (with A. Abkar) Invariant subspaces in quasi-Banach spaces of analytic functions. St Petersburg Mathematical Journal 12 (2001), 83--100.
40. (with A. Abkar) A Riesz representation formula for super-biharmonic functions. Annales Academiae Scientiarum Fennicae Mathematica 26 (2001), 305--324.
2002:
41. (with S. Shimorin) Hele-Shaw flow on hyperbolic surfaces. Journal de Mathématiques Pures et Appliquées 81 (2002), 187--222.
42. (with S. Jakobsson, S. Shimorin) A biharmonic maximum principle for hyperbolic surfaces. Journal für die reine und angewandte Mathematik 550 (2002), 25--75.
43. The dual of a Bergman space on simply connected domains. Journal d'Analyse Mathématique 88 (2002), 311--335.
2003:
44. (with E. Saksman) Carleson's convergence theorem for Dirichlet series. Pacific Journal of Mathematics 208 (2003), 85--109.
2004:
45. (with A. Borichev, A. Volberg) Large Bergman spaces: invertibility, cyclicity, and subspaces of high index. Journal of Functional Analysis 207 (2004), 111-160.
46. (with Y. Perdomo) Mean value surfaces with prescribed curvature form. Journal de Mathématiques Pures et Appliquées 83 (2004), 1075--1107.
47. A note on Poincaré metric related quantities in conformal mapping. Complex Variables, Theory and Application 49 (2004), 549--554.
48. (with A. Aleman, D. Beliaev) Real zero polynomials and Pólya-Schur type theorems. Journal d'Analyse Mathématique 94 (2004), 49--60.
2005:
49. (with S. Shimorin) Weighted Bergman spaces and the integral means spectrum of conformal mappings. Duke Mathematical Journal 127 (2005), 341--393.
50. (with A. Olofsson) Hele-Shaw flow on weakly hyperbolic surfaces. Indiana University Mathematics Journal 54 (2005), 1161--1180.
2006:
51. On the asymptotic free boundary for the American put option problem. Journal of Mathematical Analysis and Applications 314 (2006), 345--362.
52. (with N. Abuzyarova) Branch point area methods in conformal mapping. Journal d'Analyse Mathématique 99 (2006), 177--198.
2007:
53. (with S. Shimorin) On the universal integral means spectrum of conformal mappings near the origin. Proceedings of the American Mathematical Society 135 (2007), 2249--2255.
54. (with I. Kayumov) On the Makarov law of the iterated logarithm. Proceedings of the American Mathematical Society 135 (2007), 2235--2248.
2008:
55. (with A. Sola) Spectral notions for conformal maps: a survey. Computational Methods and Function Theory 8 (2008), No. 2, 447--474.
56. (with S. Shimorin, A. Sola) Norm expansion along a zero variety. Journal of Functional Analysis 254 (2008), 1601--1625.
57. Planar Beurling transform and Grunsky inequalities. Annales Academiae Scientiarum Fennicae Mathematica 33 (2008), no. 2, 585--596.
58. (with A. Baranov) Boundary properties of Green functions in the plane. Duke Mathematical Journal 145 (2008), 1--24.
2010:
59. (with Y. Ameur, N. Makarov) Berezin transform in polynomial Bergman spaces. Communications on Pure and Applied Mathematics 63 (2010) no. 12, 1533--1584.
2011:
60. (with A. Montes-Rodriguez) Heisenberg uniqueness pairs and the Klein-Gordon equation. Annals of Mathematics 173 (2011), 1507--1527.
61. (with Y. Ameur, N. Makarov) Fluctuations of eigenvalues of random normal matrices. Duke Mathematical Journal 159 (2011), 31--81. My preprint version.
62. (with N. Shirokov) The Keldysh-Lavrentiev counterexample and means of powers of the derivative of conformal mappings. 1. Construction of the mappings. Zapiski Nauchnykh Seminarov POMI 389 (2011), 252--256.
2012:
63. The Beurling operator for the hyperbolic plane. Annales Academiae Scientiarum Fennicae Mathematica 37 (2012), 3--18.

Recent work

1. (with N. Makarov) Coulomb gas ensembles and Laplacian growth. Proceedings of the London Mathematical Society, to appear.
2. (with A. Montes-Rodriguez) Fourier uniqueness sets and the Klein-Gordon equation.
3. (with A. Haimi) The polyanalytic Ginibre ensembles.
4. (with F. Canto-Martin, A. Montes-Rodriguez) Perron-Frobenius operators and the Klein-Gordon equation. Journal of the European Mathematical Society, to appear.
5. (with Y. Ameur, N. Makarov) Random normal matrices and Ward identities.
6. (with P. Nieminen) The Gaussian free field and Hadamard's variational formula.
7. Heisenberg's uncertainty principle in the sense of Beurling. Journal d'Analyse Mathématique, to appear.