Bibliography of Håkan Hedenmalm

Pre-professional publications

• 79-1. Hur definierar man derivata av godtycklig ordning? Elementa 2 (1979), 95--98.
• 81-1. Some examples of generalizations from natural numbers to real numbers, Mathematical Buds 2 (1981), 95--107.

Mathematical publications

• 85-1. On the primary ideal structure at infinity for analytic Beurling algebras, Arkiv f\"or Matematik 23 (1985), 129--158.
• 86-1. A comparison between the closed modular ideals in $L^1(w)$ and $l^1(w)$, Mathematica Scandinavica 58 (1986), 275--300.
• 87-1. Bounded analytic functions and closed ideals, Journal d'Analyse Math\'ematique 48 (1987), 142--166.
• 87-2. Thin interpolating sequences and three algebras of bounded functions, Proceedings of the American Mathematical Society 99 (1987), 489--495.
• 87-3. (with P. Gorkin, R. Mortini) A Beurling-Rudin theorem for $H^\infty$, Illinois Journal of Mathematics 31 (1987), 629--644.
• 88-1. Superalgebras and closed ideals, Commentationes Mathematicae 28 (1988), 73--79.
• 88-2. Comparisons of ideal structures in algebras of analytic functions of several complex variables, Mathematica Scandinavica 63 (1988), 305--314.
• 88-3. Outer functions in function algebras on the bidisc, Transactions of the American Mathematical Society 306 (1988), 697--714.
• 88-4. Outer functions of several complex variables, Journal of Functional Analysis 80 (1988), 9--15.
• 89-1. Translates of functions of two variables, Duke Mathematical Journal 58 (1989), 269--315.
• 89-2. On the $f$- and $K$-properties of certain function spaces, Contemporary Mathematics, Vol. 91 (1989), pp. 89--91.
• 89-3. Closed ideals in the ball algebra, Bulletin of the London Mathematical Society, 21 (1989), 469--474.
• 90-1. (with A. L. Shields) Invariant subspaces in Banach spaces of analytic functions, Michigan Mathematical Journal 37 (1990), 91--104.
• 90-2. Closed ideals in the bidisc algebra, Arkiv f\"or Matematik 28 (1990), 111--117.
• 91-1. Formal power series and nearly analytic functions, Archiv der Mathematik 57 (1991), 61--70.
• 91-2. A factorization theorem for square area-integrable analytic functions, Journal f\"ur die reine und angewandte Mathematik 422 (1991), 45--68.
• 92-1. (with K. Zhu) On the failure of optimal factorization in certain weighted Bergman spaces, Complex Variables, Theory and Applications 19 (1992), 165--176.
• 92-2. 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.
• 93-1. (with A. Borichev) Approximation in a class of Banach algebras of quasianalytically smooth analytic functions, Journal of Functional Analysis 115 (1993), 359--390.
• 93-2. An invariant subspace of the Bergman space having the codimension two property, Journal f\"ur die reine und angewandte Mathematik 443 (1993), 1--9.
• 93-3. Spectral properties of invariant subspaces in the Bergman space, Journal of Functional Analysis 116 (1993), 441--448.
• 94-1. A factoring theorem for the Bergman space, Bulletin of the London Mathematical Society 26 (1994), 113--126.
• 94-2. A computation of Green functions for the weighted biharmonic operators $\Delta|z|^{-2\alpha}\Delta$, with $\alpha>-1$, Duke Mathematical Journal 75 (1994), 51--78.
• 94-3. (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.
• 95-1. (with A. Borichev) Completeness of translates in weighted spaces on the half-line, Acta Mathematica 174 (1995), 1--84.
• 95-2. (with Y. Ben Natan, Y. Benyamini, Y. Weit) Wiener's tauberian theorem in $L^1(G//K)$ and harmonic functions in the unit disk, Bulletin of the American Mathematical Society 32 (1995), 43--49.
• 95-3. 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.
• 95-4. (with A. Borichev) Cyclicity in Bergman-type spaces, International Mathematics Research Notices 5 (1995), 253--262.
• 96-1. (with B. Korenblum, K. Zhu) Beurling-type invariant subspaces of the Bergman spaces, Journal of the London Mathematical Society 53 (1996), 601--614.
• 96-2. (with S. Richter, K. Seip) Interpolating sequences and invariant subspaces of given index in the Bergman spaces, Journal f\"ur die reine und angewandte Mathematik 477 (1996), 13--30.
• 96-3. (with Y. Ben Natan, Y. Benyamini, Y. Weit) Wiener's tauberian theorem for spherical functions on the automorphism group of the unit disk, Arkiv f\"or Matematik 34 (1996), 199--224.
• 97-1. Boundary value problems for weighted biharmonic operators, St Petersburg Mathematical Journal 8 (1997), 661--674.
• 97-2. (with P. Lindqvist, K. Seip) A Hilbert space of Dirichlet series and systems of dilated functions in $L^2(0,1)$, Duke Mathematical Journal 86 (1997), 1--37.
• 97-3. (with A. Borichev) Harmonic functions of maximal growth: invertibility and cyclicity in Bergman spaces, Journal of the American Mathematical Society 10 (1997), 761--796.
• 98-1. Maximal invariant subspaces in the Bergman space, Arkiv f\"or Matematik 36 (1998), 97--101.
• 98-2. 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.
• 98-3. Recent developments in the function theory of the Bergman space. European Congress of Mathematics (Budapest, Hungary, 1996), 202--217, Progress in Mathematics, 168, Birkh\"auser Verlag, Basel, Switzerland, 1998.
• 98-4. (with A. Abkar) Invariant subspaces on multiply connected domains, Publicacions Mate\-m\`a\-tiques 42 (1998), 521--557.
• 99-1. (with S. Jakobsson, S. Shimorin) A maximum principle \`a la Hadamard for biharmonic operators with applications to the Bergman spaces. Comptes Rendus de l'Academie des Sciences (Paris) 328 I (1999), 973--978.
• 99-2. (with P. Lindqvist, K. Seip) Addendum to "A Hilbert space of Dirichlet series and systems of dilated functions in $L^2(0,1)$", Duke Mathematical Journal 99 (1999), 175--178.
• 99-3. (with J. Gordon) The composition operators on the space of Dirichlet series with square summable coefficients. Michigan Mathematical Journal 46 (1999), 313-329.
• 00-1. An off-diagonal estimate of Bergman kernels. Journal de Math\'ematiques Pures et Appliqu\'ees 79 (2000), 163--172.
• 00-2. (with B. Korenblum, K. Zhu) [Book] Theory of Bergman spaces. Graduate Texts in Mathematics 199, Springer-Verlag, New York-Berlin, 2000; 286 pp.
• 00-3. Topics in the theory of Dirichlet series, Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 475, 195-203 (2000).
• 01-1. (with A. Abkar) Invariant subspaces in quasi-Banach spaces of analytic functions, St Petersburg Mathematical Journal 12 (2001), 83--100.
• 01-2. (with A. Abkar) A Riesz representation formula for super-biharmonic functions, Annales Academiae Scientiarum Fennicae Mathematica 26 (2001), 305--324.
• 01-3 (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.
• 02-1 (with S. Shimorin) Hele-Shaw flow on hyperbolic surfaces. Journal de Math\'ematiques Pures et Appliqu\'ees 81 (2002), 187-222.

Publications pending

• P-1. (with S. Jakobsson, S. Shimorin) A biharmonic maximum principle for hyperbolic surfaces. Journal f\"ur die reine und angewandte Mathematik, to appear.
• P-2. (with E. Saksman) Carleson's convergence theorem for Dirichlet series. Pacific Journal of Mathematics, to appear.
• P-3. (with A. Borichev, A. Volberg) Large Bergman spaces: invertibility, cyclicity, and subspaces of high index.
• P-4. (with A. Aleman, D. Beliaev) Real zero polynomials and P\'olya-Schur type theorems.
• P-5. The dual of a Bergman space on simply connected domains. Journal d'Analyse Math\'ematique, to appear.
• P-6. A note on Poincar\'e metric related quantities in conformal mapping.

Work in progress

• W-1. The American put option problem.