Complete bibliography of Håkan Hedenmalm

Recent workshops

• 1. Riemann-Hilbert problems, Toeplitz matrices, and applications. American Institute of Mathematics workshop, Caltech campus, March 4-8, 2024.

Presentations

• 26. Hyperbolic Fourier series and the Klein-Gordon equation.
• 25. Soft Riemann-Hilbert problems and planar orthogonal polynomials. Handwritten supplement.
• 24. Fourier uniqueness in even dimensions.
• 23. Gaussian analytic functions and operator symbols of Dirichlet type.
• 22. Telegraph trigonometric system, Fourier interpolation, and the Klein-Gordon equation.
• 21. (with A. Wennman) Off-spectral analysis of Bergman kernels.
• 20. Serguei Shimorin and his work.
• 19. (with D. Stolyarov, V. Vasyunin, P. Zatitskiy) Sharpening Hölder's inequality.
• 18. (with A. Wennman) Planar orthogonal polynomials and related determinantal processes: random normal matrices and arithmetic jellium.
• 17. Bloch functions, asymptotic variance, and geometric zero packing.
• 16. Bloch functions and asymptotic tail variance.
• 15. On McMullen's asymptotic variance of a Bloch function.
• 14. (with A. Haimi) Polyanalytic Bergman kernels.
• 13. On the uniqueness theorem of Holmgren.
• 12. (with A. Borichev) Weighted integrability of polyharmonic functions.
• 11. (with N. Makarov) Coulomb gas ensembles in 2D.
• 10. (with A. Montes-Rodriguez) The Klein-Gordon equation, the Hilbert transform, and dynamics of Gauss-type maps.
• 9. Heisenberg's uncertainty principle in the sense of Beurling.
• 8. (with P. J. Nieminen) Hadamard's variational formula and the Gaussian free field.
• 7. (with A. Montes-Rodriguez) Heisenberg uniqueness pairs and the Klein-Gordon equation.
• 6. (with A. Haimi) The polyanalytic Ginibre ensembles.
• 5. (with Y. Ameur, N. Makarov) Normal random matrix ensembles.
• 4. (with Y. Ameur, N. Makarov) Berezin quantization and random normal matrices.
• 3. Grunsky inequalities and beyond.
• 2. (with A. Baranov) Boundary properties of Green functions in the plane.
• 1. Bergman spaces and differential geometry.

Recent work

• 10. Jacobi theta functions and hyperbolic Fourier series. Work in progress.
• 9. Corrigendum to "The Klein-Gordon equation, the Hilbert transform, and dynamics of Gauss-type maps".
• 8. (with A. Wennman) A global asymptotic expansion of the polynomial Bergman density. Preliminary manuscript.
• 7. (with A. Bakan, A. Montes-Rodriguez) Hyperbolic Fourier series and the Klein-Gordon equation. Submitted.
• 6. Quasicircles and hyperbolic zero packing. arXiv:2207.09846
• 5. Deep zero problems. Journal d'Analyse Mathématique, to appear.
• 4. (with A. Bakan, A. Montes-Rodriguez, D. Radchenko, M. Viazovska) Hyperbolic Fourier series. arXiv:2110.00148.
• 3. (with U. Etayo, J. Ortega-Cerdà) A Bombieri inequality and zero packing for the torus. Work in progress.
• 2. (with A. Wennman) Resonant repulsion in the arithmetic jellium model. Work in progress.
• 1. The Klein-Gordon equation and quadrature.

Edited books

• 3. (co-edited with A. Aleman, D. Khavinson, M. Putinar) Analysis of operators on function spaces. The Serguei Shimorin memorial volume. Trends in Mathematics, Birkhäuser/Springer, Cham, 2019.
• 2. (co-edited with M. Cepedello Boiso, M. A. Kaashoek, A. Montes-Rodriguez) Concrete operators, spectral theory, operators in harmonic analysis and approximation. 2nd International workshop in operator theory and its applications, Sevilla, July 2011. Operator Theory: Advances and Applications 236. Springer, 2013.
• 1. (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.

Monograph books

• 1. (with B. Korenblum, K. Zhu) Theory of Bergman spaces. Graduate Texts in Mathematics 199, Springer-Verlag, New York-Berlin, 2000; 286 pp.

Mathematical papers in journals

• 2024:
• 88. (with A. Wennman) Berezin density and planar orthogonal polynomials. Transactions of the American Mathematical Society 377 (2024), 4825-4863.
• 87. (with A. Wennman) Riemann-Hilbert hierarchies for hard edge planar orthogonal polynomials. American Journal of Mathematics 146 (2024), 371-403.
• 86. Soft Riemann-Hilbert problems and planar orthogonal polynomials. Communications on Pure and Applied Mathematics 77 (2024), 2413-2451.
• 2022:
• 85. (with A. Aleman, A. Baranov, Y. Belov) Backward shift and nearly invariant subspaces of Fock-type spaces. International Mathematics Research Notices (IMRN) 2022, no. 10, 7390-7419.
• 2021:
• 84. (with A. Montes-Rodriguez) The Klein-Gordon equation, the Hilbert transform, and Gauss-type maps: H^∞ approximation. Journal d'Analyse Mathématique 144 (2021), 119-190.
• 83. (with A. Wennman) Planar orthogonal polynomials and boundary universality in the random normal matrix model. Acta Mathematica 227 (2021), 309-406.
• 82. (with A. Bakan, A. Montes-Rodriguez, D. Radchenko, M. Viazovska) Fourier uniqueness in even dimensions. Proceedings of the National Academy of Sciences USA, April 13, 2021, 118 (15) e2023227118.
• 2020:
• 81. (with A. Bakan) Exponential integral representation of theta functions. Computational Methods and Function Theory 20 (2020) (Ruscheweyh volume), 591-621.
• 80. (with S. Shimorin) Gaussian analytic functions and operator symbols of Dirichlet type. Advances in Mathematics 372 (2020), 107301, 38 pp.
• 79. (with A. Montes-Rodriguez) The Klein-Gordon equation, the Hilbert transform, and dynamics of Gauss-type maps. Journal of the European Mathematical Society 22 (2020), 1703-1757.
• 78. (with A. Wennman) Off-spectral analysis of Bergman kernels. Communications in Mathematical Physics 373 (2020), 1049-1083.
• 77. Bloch functions, asymptotic variance, and geometric zero packing. American Journal of Mathematics 142 (2020), 267-321.
• 2018:
• 76. (with A. Wennman) A critical topology for L^p-Carleman classes with 0<p<1. Mathematische Annalen 371(3) (2018), 1803-1844.
• 75. (with D. Stolyarov, V. Vasyunin, P. Zatitskiy) Sharpening Hölder's inequality. Journal of Functional Analysis 275 (2018), 1280-1319.
• 2017:
• 74. Bloch functions and asymptotic tail variance. Advances in Mathematics 313 (2017), 947-990.
• 2015:
• 73. On the uniqueness theorem of Holmgren. Mathematische Zeitschrift 281 (2015), 357-378.
• 72. On Hörmander's solution of the dbar-equation. I. Mathematische Zeitschrift 281 (2015), 349-355.
• 71. (with Y. Ameur, N. Makarov) Random normal matrices and Ward identities. Annals of Probability 43 (2015), 1157-1201.
• 2014:
• 70. (with A. Haimi) Asymptotic expansion of polyanalytic Bergman kernels. Journal of Functional Analysis 267 (2014), 4667-4731.
• 69. (with A. Borichev) Weighted integrability of polyharmonic functions. Advances in Mathematics 264 (2014), 464-505.
• 68. (with P. Nieminen) The Gaussian free field and Hadamard's variational formula. Probability Theory and Related Fields 159(1) (2014), 61-73.
• 67. (with F. Canto-Martin, A. Montes-Rodriguez) Perron-Frobenius operators and the Klein-Gordon equation. Journal of the European Mathematical Society 16 (2014), 31-66.
• 2013:
• 66. (with A. Haimi) The polyanalytic Ginibre ensembles. Journal of Statistical Physics 153(1) (2013), 10-47.
• 65. (with N. Makarov) Coulomb gas ensembles and Laplacian growth. Proceedings of the London Mathematical Society (3) 106 (2013), 859-907.
• 2012:
• 64. Heisenberg's uncertainty principle in the sense of Beurling. Journal d'Analyse Mathématique 118 (2012), 691-702.
• 63. The Beurling operator for the hyperbolic plane. Annales Academiae Scientiarum Fennicae Mathematica 37 (2012), 3-18.
• 2011:
• 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.
• 61. (with Y. Ameur, N. Makarov) Fluctuations of eigenvalues of random normal matrices. Duke Mathematical Journal 159 (2011), 31-81.
• 60. (with A. Montes-Rodriguez) Heisenberg uniqueness pairs and the Klein-Gordon equation. Annals of Mathematics 173 (2011), 1507-1527.
• 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.
• 2008:
• 58. (with A. Baranov) Boundary properties of Green functions in the plane. Duke Mathematical Journal 145 (2008), 1-24.
• 57. Planar Beurling transform and Grunsky inequalities. Annales Academiae Scientiarum Fennicae Mathematica 33 (2008), no. 2, 585-596.
• 56. (with S. Shimorin, A. Sola) Norm expansion along a zero variety. Journal of Functional Analysis 254 (2008), 1601-1625.
• 55. (with A. Sola) Spectral notions for conformal maps: a survey. Computational Methods and Function Theory 8 (2008), No. 2, 447-474.
• 2007:
• 54. (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.
• 53. (with I. Kayumov) On the Makarov law of the iterated logarithm. Proceedings of the American Mathematical Society 135 (2007), 2235-2248.
• 2006:
• 52. (with N. Abuzyarova) Branch point area methods in conformal mapping. Journal d'Analyse Mathématique 99 (2006), 177-198.
• 51. On the asymptotic free boundary for the American put option problem. Journal of Mathematical Analysis and Applications 314 (2006), 345-362.
• 2005:
• 50. (with A. Olofsson) Hele-Shaw flow on weakly hyperbolic surfaces. Indiana University Mathematics Journal 54 (2005), 1161-1180.
• 49. (with S. Shimorin) Weighted Bergman spaces and the integral means spectrum of conformal mappings. Duke Mathematical Journal 127 (2005), 341-393.
• 2004:
• 48. (with A. Aleman, D. Beliaev) Real zero polynomials and Pólya-Schur type theorems. Journal d'Analyse Mathématique 94 (2004), 49-60.
• 47. A note on Poincaré metric related quantities in conformal mapping. Complex Variables, Theory and Application 49 (2004), 549-554.
• 46. (with Y. Perdomo) Mean value surfaces with prescribed curvature form. Journal de Mathématiques Pures et Appliquées 83 (2004), 1075-1107.
• 45. (with A. Borichev, A. Volberg) Large Bergman spaces: invertibility, cyclicity, and subspaces of high index. Journal of Functional Analysis 207 (2004), 111-160.
• 2003:
• 44. (with E. Saksman) Carleson's convergence theorem for Dirichlet series. Pacific Journal of Mathematics 208 (2003), 85-109.
• 2002:
• 43. The dual of a Bergman space on simply connected domains. Journal d'Analyse Mathématique 88 (2002), 311-335.
• 42. (with S. Jakobsson, S. Shimorin) A biharmonic maximum principle for hyperbolic surfaces. Journal für die reine und angewandte Mathematik 550 (2002), 25-75.
• 41. (with S. Shimorin) Hele-Shaw flow on hyperbolic surfaces. Journal de Mathématiques Pures et Appliquées 81 (2002), 187-222.
• 2001:
• 40. (with A. Abkar) A Riesz representation formula for super-biharmonic functions. Annales Academiae Scientiarum Fennicae Mathematica 26 (2001), 305-324.
• 39. (with A. Abkar) Invariant subspaces in quasi-Banach spaces of analytic functions. St Petersburg Mathematical Journal 12 (2001), 83-100.
• 2000:
• 38. An off-diagonal estimate of Bergman kernels. Journal de Mathématiques Pures et Appliquées 79 (2000), 163-172.
• 1999:
• 37. (with J. Gordon) The composition operators on the space of Dirichlet series with square summable coefficients. Michigan Mathematical Journal 46 (1999), 313-329.
• 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.
• 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.
• 1998:
• 34. (with A. Abkar) Invariant subspaces on multiply connected domains. Publicacions Matemàtiques 42 (1998), 521-557.
• 33. Maximal invariant subspaces in the Bergman space. Arkiv för Matematik 36 (1998), 97-101.
• 1997:
• 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.
• 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.
• 30. Boundary value problems for weighted biharmonic operators. St Petersburg Mathematical Journal 8 (1997), 661-674.
• 1996:
• 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.
• 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.
• 27. (with B. Korenblum, K. Zhu) Beurling-type invariant subspaces of the Bergman spaces. Journal of the London Mathematical Society 53 (1996), 601-614.
• 1995:
• 26. (with A. Borichev) Cyclicity in Bergman-type spaces. International Mathematics Research Notices 5 (1995), 253-262.
• 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.
• 24. (with A. Borichev) Completeness of translates in weighted spaces on the half-line. Acta Mathematica 174 (1995), 1-84.
• 1994:
• 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.
• 22. A computation of Green functions for the weighted biharmonic operators Δ|z|^-2αΔ, with α>-1. Duke Mathematical Journal 75 (1994), 51-78.
• 21. A factoring theorem for the Bergman space. Bulletin of the London Mathematical Society 26 (1994), 113-126.
• 1993:
• 20. Spectral properties of invariant subspaces in the Bergman space. Journal of Functional Analysis 116 (1993), 441-448.
• 19. An invariant subspace of the Bergman space having the codimension two property. Journal für die reine und angewandte Mathematik 443 (1993), 1-9.
• 18. (with A. Borichev) Approximation in a class of Banach algebras of quasianalytically smooth analytic functions. Journal of Functional Analysis 115 (1993), 359-390.
• 1992:
• 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.
• 16. (with K. Zhu) On the failure of optimal factorization in certain weighted Bergman spaces. Complex Variables, Theory and Application 19 (1992), 165-176.
• 1991:
• 15. A factorization theorem for square area-integrable analytic functions. Journal für die reine und angewandte Mathematik 422 (1991), 45-68.
• 14. Formal power series and nearly analytic functions. Archiv der Mathematik 57 (1991), 61-70.
• 1990:
• 13. Closed ideals in the bidisc algebra. Arkiv för Matematik 28 (1990), 111-117.
• 12. (with A. L. Shields) Invariant subspaces in Banach spaces of analytic functions. Michigan Mathematical Journal 37 (1990), 91-104.
• 1989:
• 11. Closed ideals in the ball algebra. Bulletin of the London Mathematical Society, 21 (1989), 469-474.
• 10. Translates of functions of two variables. Duke Mathematical Journal 58 (1989), 251-297. Erratum (1996).
• 1988:
• 9. Outer functions of several complex variables. Journal of Functional Analysis 80 (1988), 9-15.
• 8. Outer functions in function algebras on the bidisc. Transactions of the American Mathematical Society 306 (1988), 697-714.
• 7. Comparisons of ideal structures in algebras of analytic functions of several complex variables. Mathematica Scandinavica 63 (1988), 305-314.
• 6. Superalgebras and closed ideals. Commentationes Mathematicae (Prace Matematyczne) 28 (1988), 73-79.
• 1987:
• 5. (with P. Gorkin, R. Mortini) A Beurling-Rudin theorem for H^∞. Illinois Journal of Mathematics 31 (1987), 629-644.
• 4. Thin interpolating sequences and three algebras of bounded functions. Proceedings of the American Mathematical Society 99 (1987), 489-495.
• 3. Bounded analytic functions and closed ideals. Journal d'Analyse Mathématique 48 (1987), 142-166.
• 1986:
• 2. A comparison between the closed modular ideals in L¹(w) and l¹(w). Mathematica Scandinavica 58 (1986), 275-300.
• 1985:
• 1. On the primary ideal structure at infinity for analytic Beurling algebras. Arkiv för Matematik 23 (1985), 129-158.

Conference proceedings

• 2005:
• 9. (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.
• 2004:
• 8. 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.
• 2001:
• 7. (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.
• 2000:
• 6. Topics in the theory of Dirichlet series. Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 475, 195-203 (2000).
• 1999:
• 5. An Hadamard maximum principle for the bi-Laplacian on hyperbolic manifolds. Journées "Équations aux Dérivées Partielles" (Saint-Jean-de-Monts, 1999), Exp. No. III, 5 pp., Univ. Nantes, Nantes, 1999.
• 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.
• 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.
• 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.
• 1989:
• 1. On the f- and K-properties of certain function spaces. Contemporary Mathematics, Vol. 91 (1989), pp. 89-91.