Dror Varolin's Publications and preprints




1. "On translations of the images of analytic maps." With Ian Graham, Complex Variables Theory Appl. 24 (1994), no. 3-4, 205--208.

2. Bloch constants in one and several variables With Ian Graham, Pacific J. Math. 174 (1996), no. 2, 347--357.

3. Flows on C^2 with polynomial time-one map With Patrick Ahern and Franc Forstneric, Complex Variables Theory Appl. 29 (1996), no. 4, 363--366.

4. The Density Property for Complex Manifolds and Geometric Structures J. Geom. Anal. 11 (2001), no. 1, 135--160.

5. The Density Property for Complex Manifolds and Geometric Structures II Internat. J. Math. 11 (2000), no. 6, 837--847.

6. A general notion of shears, and applications Michigan Math. J. 46 (1999), no. 3, 533--553.

7. Holomorphic diffeomorphisms of complex semisimple Lie groups With Arpad Toth, Invent. math. 139 (2000) 2, 351-369

8. Stable manifolds of holomorphic diffeomorphisms , Joint with Mattias Jonsson, Invent. Math. 149 (2002), no. 2, 409--430.

9. Sampling sequences for Bergman spaces for p < 1 , Joint with Alex Schuster, Complex Var. Theory Appl. 47 (2002), no. 3, 243--253.

10. Control theory and holomorphic diffeomorphisms ,
CONTEMPORARY TRENDS IN NON-LINEAR GEOMETRIC CONTROL THEORY AND ITS APPLICATIONS. (México City, 2000), 459--472, World Sci. Publishing, River Edge, NJ, 2002.

11. A compactification of (C^*)^4 with no non-constant meromorphic functions , Joint with Jun-Muk Hwang, Ann. Inst. Fourier (Grenoble) 52 (2002), no. 1, 245--253.

12. Positivity Conditions for Hermitian Symmetric Functions , Joint with John D'Angelo, Asian J. Math, Vol 7, No. 4, pp 001-018, Dec. 2003

13. Jumping coefficients of multiplier ideals , Joint with Lawrence Ein, Rob Lazarsfeld and Karen Smith, Duke Math. J. 123 (2004), no. 3, 469-506

14. Holomorphic diffeomorphisms of complex homogeneous spaces , Joint with Arpad Toth, Compos. Math. 142 (2006), no. 5, 1308--1326.

15. Interpolation and Sampling for Generalized Bergman spaces on finite Riemann Surfaces , Joint with Alex Schuster, to appear in Rev. Mat. Iberoamericana.

16. Interpolation and sampling hypersurfaces for the Bargmann-Fock space in higher dimensions., Joint with Joaquim Ortega-Cerda and Alex Schuster, Math. Ann. 335 (2006), no. 1, 79--107.

17. Analytic inversion of adjunction: L^2 extension theorems with gain. , Joint with Jeff McNeal, Ann. Inst. Fourier (Grenoble) 57 (2007), no. 3, 703--718.

18. Geometry of hermitian algebaric functions: Quotients of squared norms. Amer. J. Math. 130 (2008), no. 2, 291--315.

19. Sufficient conditions for interpolation and sampling hypersurfaces in the Bergman ball , Joint with Tamas Forgacs. Internat. J. Math. 18 (2007), no. 5, 559--584.

20. A Takayama-type extension theorem, Compos. Math. 144 (2008), no. 2, 522--540.

21. A universal metric for the canonical bundle of a holomorphic family of projective algebraic manifolds , Asian J. Math. 11 (2007), no. 2, 319--329.

22. Division Theorems and Twisted Complexes, Math. Z. 259 (2008), no. 1, 1--20.

23. Toeplitz operators and Carleson measures on generalized Bargmann-Fock spaces ,Joint with Alex Schuster, Integr. Equ. Oper. Theory 72 (2012), 363--392.

24. L^2 estimates for dbar across a divisor with Poincare-Like Singularities, Illinois J. Math. 56 (2012), no. 1, 235--249 (2013).

25. New estimates for the minimal L2 solution of dbar and applications to geometric function theory in weighted Bergman spaces, Joint with Alex Schuster, J. Reine Angew. Math. 691 (2014), 173--201.

26. Bargmann-Fock extension from singular hypersurfaces , Joint with Vamsi Pingali, J. Reine Angew. Math., To appear

27. L^2 extension of dbar-closed forms from a hypersurface, Joint with Jeff McNeal, Submitted for publication.

28. Bergman interpolation on finite Riemann surfaces. Part I: Asynmptotically flat case, Preprint, 2014.

29. Bergman interpolation on finite Riemann surfaces. Part II: Poincare-hyperbolic case , Preprint, 2015.

30. L^2 estimates for the dbar operator To appear in Bull. Math. Sci., 2015