John Erik Fornæss
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Norwegian mathematician
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John Erik Fornæssmathematics Degrees
Mathematics
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#5968
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Algebraic Geometry
#169
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#177
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Measure Theory
#2349
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#2808
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Mathematics
John Erik Fornæss's Degrees
- PhD Mathematics University of California, Berkeley
Why Is John Erik Fornæss Influential?
(Suggest an Edit or Addition)According to Wikipedia, John Erik Fornæss is a Norwegian-American mathematician. Fornæss received his master's degree in 1970 from the University of Oslo with thesis Uniform approximation on manifolds and his PhD in 1974 from the University of Washington under Edgar Lee Stout with thesis Embedding Strictly Pseudoconvex Domains in Convex Domains. At Princeton University he became in 1974 an instructor, in 1976 an assistant professor, in 1978 an associate professor, and in 1981 a full professor. Since 1991 he has been a professor at the University of Michigan.
John Erik Fornæss's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Complex dynamics in higher dimensions (1994) (311)
- Pseudoconvex domains: Bounded strictly plurisubharmonic exhaustion functions (1977) (278)
- Pseudoconvex Domains with Real-Analytic Boundary (1978) (232)
- Complex dynamics in higher dimension (1993) (191)
- Embedding Strictly Pseudoconvex Domains in Convex Domains (1976) (181)
- Oka's inequality for currents and applications (1995) (144)
- A Construction of Peak Functions on Weakly Pseudoconvex Domains (1978) (135)
- Proper holomorphic mappings between real-analytic pseudoconvex domains inCn (1988) (123)
- Complex Hénon mappings in $\mathbb{C}^2$ and Fatou-Bieberbach domains (1992) (105)
- Random iterations of rational functions (1991) (99)
- Proper holomorphic maps onto pseudoconvex domains with real-analytic boundary (1979) (94)
- Exposing Points on the Boundary of a Strictly Pseudoconvex or a Locally Convexifiable Domain of Finite 1-Type (2013) (78)
- Construction of P.S.H. functions on weakly pseudoconvex domains (1989) (76)
- Hölder estimates on convex domains of finite type (1999) (72)
- Pseudoconvex domains: existence of Stein neighborhoods (1977) (60)
- Support functions for convex domains of finite type (1999) (58)
- Classification of recurrent domains for some holomorphic maps (1995) (57)
- Dynamics in Several Complex Variables (1995) (54)
- Riemann Surface Laminations with Singularities (2008) (53)
- Proper holomorphic images of strictly pseudoconvex domains (1982) (52)
- Harmonic currents of finite energy and laminations (2004) (52)
- Counterexamples to regularity for the complex Monge-Ampère equation (1978) (49)
- Biholomorphic maps of weakly pseudoconvex domains (1978) (46)
- Semiglobal results for on a complex space with arbitrary singularities (2005) (46)
- SPREADING POLYDISCS ON COMPLEX MANIFOLDS. (1977) (44)
- Polydiscs in complex manifolds (1977) (43)
- Lectures on Counterexamples in Several Complex Variables (2007) (42)
- Recent developments in several complex variables (1981) (42)
- An increasing sequence of stein manifolds whose limit is not Stein (1976) (41)
- BIHOLOMORPHIC MAPPINGS BETWEEN WEAKLY PSEUDOCONVEX DOMAINS (1978) (41)
- Some open problems in higher dimensional complex analysis and complex dynamics (2001) (40)
- On the smoothness of Levi-foliations (1988) (37)
- STABLE MANIFOLDS OF HOLOMORPHIC HYPERBOLIC MAPS (2004) (32)
- Peak points on weakly pseudoconvex domains (1977) (32)
- A CONSTRUCTION OF PEAK FUNCTIONS ON SOME FINITE TYPE DOMAINS (1994) (32)
- The Cauchy Riemann equation on singular spaces (1998) (32)
- Sharp hölder estimates for $$\overline \partial $$ on ellipsoids (1986) (30)
- Several complex variables : proceedings of the Mittag-Leffler Institute, 1987-1988 (1993) (28)
- Local extension of CR functions from weakly pseudoconvex boundaries. (1978) (27)
- Classification of degree 2 polynomial automorphisms of C3 (1998) (27)
- Complex manifolds in pseudoconvex boundaries (1981) (27)
- Hyperbolic maps on ${\Bbb P}^2$ (1998) (27)
- Ja n 20 04 LOCAL L 2 RESULTS FOR ∂ : THE ISOLATED SINGULARITIES CASE (25)
- Unique Ergodicity of Harmonic Currents On Singular Foliations of $${\mathbb{P}^2}$$ (2010) (25)
- Fatou and Julia sets for entire mappings inCk (1998) (25)
- Fatou and Julia sets for entire mappings in ${\Bbb C}^k$ (1998) (25)
- Examples of minimal laminations and associated currents (2010) (24)
- Lineally convex domains of finite type: holomorphic support functions (2003) (23)
- Smooth Pseudoconvex Domains in ℂ 2 For Which the Corona Theorem and L p Estimates for ∂̄ Fail (1993) (23)
- Dynamics of transcendental Hénon maps (2019) (23)
- Approximation of plurisubharmonic functions (1989) (22)
- Estimate of the squeezing function for a class of bounded domains (2016) (22)
- Biholomorphisms in Dimension 2 (1994) (22)
- Plurisubharmonic defining functions. (1979) (21)
- 2 Dimensional counterexamples to generalizations of the Levi problem (1977) (21)
- The closing lemma for holomorphic maps (1997) (20)
- Local $L^2$ results for $\overline{\partial}$ on a singular surface (2003) (19)
- A counterexample for the Levi problem for branched Riemann domains over ℂn (1978) (19)
- Regular holomorphic images of balls (1982) (17)
- Semiglobal results for \overline∂ on a complex space with arbitrary singularities (2005) (17)
- Hyperbolic maps on P 2 (1998) (16)
- Uniform approximation of holomorphic functions on bounded hartogs domains in ℂ2 (1986) (15)
- Sup-norm estimates for $\overline\partial$ in $\mathbf{C}^2$ (1986) (15)
- An embedding of ℂ in ℂ2 with hyperbolic complement (1996) (15)
- Attractors in P2 (1999) (15)
- Fatou components with punctured limit sets (2013) (15)
- Thin complements of complete Kähler domains (1982) (15)
- Biholomorphic mappings between certain real analytic domains in ℂ2 (1979) (15)
- A strange bounded smooth domain of holomorphy (1976) (14)
- A Domain with Non-plurisubharmonic Squeezing Function (2016) (14)
- A smooth curve in \mathbf{C}^2 which is not a pluripolar set (1982) (14)
- Characterization of global peak sets forA∞ (D) (1982) (14)
- Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains (2017) (13)
- Green's functions for irregular quadratic polynomial automorphisms of C3. (1999) (13)
- On Supnorm Estimates for $\bar{\partial}$ on Infinite Type Convex Domains in ℂ2 (2011) (13)
- Finitely generated ideals in $A(\omega )$ (1983) (12)
- A note on plurisubharmonic defining functions in $${\mathbb{C}^{n}}$$ (2007) (12)
- Smooth extendability of proper holomorphic mappings (1982) (12)
- Local holomorphic extendability and non-extendability of $CR$-functions on smooth boundaries (1985) (11)
- A characterization of the ball in ℂn (2016) (11)
- Plurisubharmonic functions on ring domains (1987) (11)
- Kobayashi, Carathéodory and Sibony metric (2009) (10)
- Results for ∂ on a Singular Surface (10)
- Random iteration in P (2000) (9)
- Riemann domains and envelopes of holomorphy (1983) (9)
- The Julia Set of Hénon Maps (2005) (9)
- Tangencies for Real and Complex Hénon Maps: An Analytic Method (1999) (8)
- Non-autonomous basins with uniform bounds are elliptic (2016) (8)
- A Global Approximation Result by Bert Alan Taylor and the Strong Openness Conjecture in $${\mathbb {C}}^n$$Cn (2018) (8)
- Attractors in P 2 (1999) (8)
- Random iteration in ${\mathbf P}^{\bm{k}}$ (2000) (8)
- Proper holomorphic mappings. (1986) (8)
- Green’s Functions for Irregular Quadratic Polynomial Automorphisms of C 3 (2001) (7)
- The disc method (1998) (7)
- Plurisubharmonic functions on smooth domains. (1983) (7)
- Formal complex curves in real smooth hypersurfaces (2014) (7)
- The range of holomorphic maps at boundary points (2012) (7)
- Holomorphic Symplectomorphisms in ℂ2 (1995) (7)
- Approximation on Pseudoconvex Domains (1980) (6)
- Compositional roots of Hénon maps (1995) (6)
- A 2-sphere in ℂ 2 that cannot be filled in with analytic disks (1995) (6)
- Complex Geometry and Dynamics (2015) (6)
- Infinite type germs of real analytic pseudoconvex domains in ℂ3 (2012) (6)
- Strictly pseudohyperbolic domains (1978) (6)
- Q -Complete domains with corners in P n and extension of line bundles (2012) (5)
- Subelliptic estimate for the ∂¯-Neumann problem (1981) (5)
- The Levi problem in Stein spaces. (1979) (5)
- BIHOLOMORPHIC MAPPINGS BETWEEN TWO-DIMENSIONAL HARTOGS DOMAINS WITH REAL-ANALYTIC BOUNDARIES (1981) (5)
- Classification of Recurrent Domains for Holomorphic Maps on Complex Projective Spaces (2014) (5)
- An embedding of the unit ball that does not embed into a Loewner chain (2018) (4)
- Q-Complete domains with corners in $${\mathbb{P}^n}$$ and extension of line bundles (2013) (4)
- Flat Bundles Over Some Compact Complex Manifolds (2017) (4)
- Hyperbolic maps on (1998) (4)
- A quantized henon map (2000) (4)
- Continuously varying peaking functions. (1979) (4)
- Holomorphic symplectomorphisms in $\mathbb{C}^{2p}$ (1996) (3)
- Asymptotic behavior of the Kobayashi metric in the normal direction (2009) (3)
- Approximation of partially smooth functions (2007) (3)
- Non-Autonomous Complex Dynamical Systems (2005) (3)
- Real Methods in Complex Dynamics (2004) (3)
- Strong localization of invariant metrics (2019) (3)
- Entropy of transcendental entire functions (2018) (3)
- A Global Approximation Result by Bert Alan Taylor and the Strong Openness Conjecture in C n (3)
- Maximally tangent complex curves for germs of finite type $${\mathcal{C}^\infty}$$ pseudoconvex domains in $${\mathbb C^3}$$ (2010) (3)
- L2 results for $$\overline \partial$$ in a conic (2000) (2)
- Runge exhaustions of domains in ℂn (1987) (2)
- Dynamics of transcendental Hénon maps-II (2022) (2)
- On the boundary rigidity at strongly pseudoconvex points (2020) (2)
- UNIFORM APPROXIMATION ON MANIFOLDS (1972) (2)
- Complex dynamics with focus on the real part (2013) (2)
- Infinite Entropy for Transcendental Entire Functions with an Omitted Value (2018) (2)
- Closing lemma for holomorphic functions in ${\Bbb C}$ (1998) (2)
- Infinite dimensional complex dynamics: Quasiconjugacies, localization and quantum chaos (1999) (2)
- Sustainable dynamical systems (2003) (1)
- Comparison of the Kobayashi-Royden and Sibony metrics on ring domains (2009) (1)
- A NOTE ON PSEUDOCONVEX HYPERSURFACES OF INFINITE TYPE IN C (2018) (1)
- On a conjecture by Blocki and Zwonek (2017) (1)
- Regularizations of plurisubharmonic functions (1982) (1)
- Exploding orbits of holomorphic structures (1996) (1)
- On a conjecture by Blocki-Zwonek (2015) (1)
- Weighted approximation in $\mathbb{C}$ (2017) (1)
- The Kobayashi metric (2007) (1)
- Flat Bundles Over Some Compact Complex Manifolds (2019) (1)
- The boundary rigidity for holomorphic self-maps of some fibered domains (2021) (1)
- Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains (2018) (1)
- Introduction to complex dynamics in one dimension (2016) (0)
- The range of holomorphic maps at boundary points (2014) (0)
- On the boundary rigidity at strongly pseudoconvex points (2020) (0)
- C V ] 2 7 O ct 2 01 7 SQUEEZING FUNCTIONS (2017) (0)
- The Kohn-Nirenberg example (2007) (0)
- Some notations and definitions (2007) (0)
- Holomorphic reproducing kernel for Kohn-Nierenberg domains in $\mathsf{C}^2$. (1988) (0)
- Geometric Methods of Complex Analysis (2011) (0)
- Sup-norm estimates for the ∂-equation (2007) (0)
- 2 0 Ju n 19 95 COMPOSITIONAL ROOTS OF HÉNON MAPS (1995) (0)
- Peak sets. Steps 1–4 (2007) (0)
- Riemann domains over ℂⁿ (2007) (0)
- Counterexamples to smoothing of plurisubharmonic functions (2007) (0)
- Generic density of orbits (Chapter 10) (1995) (0)
- Bloom’s example (2007) (0)
- Infinite dimensional Complex Dynamics (1999) (0)
- Nontangential boundary limits of functions in ^{∞}(ⁿ) (2007) (0)
- Peak sets for A(D) (2007) (0)
- Exploding orbits of holomorphic structures (1996) (0)
- Complex geometry and dynamics : the Abel Symposium 2013 (2015) (0)
- A Domain with Non-plurisubharmonic Squeezing Function (2017) (0)
- Estimate of the squeezing function for a class of bounded domains (2017) (0)
- Classification of Recurrent Domains for Holomorphic Maps on Complex Projective Spaces (2012) (0)
- Applications of Kobayashi Hyperbolicity (Chapter 4) (1995) (0)
- Dynamics of transcendental Hénon maps (2018) (0)
- Notes on the Short $${\mathbb {C}}^k$$ C k ’s (2021) (0)
- Mathematische Annalen The Julia Set of Hénon Maps (2006) (0)
- A result on extension of C.R. functions (1983) (0)
- Complex Monge Ampère equation (2007) (0)
- A characterization of the ball in $\mathlab{C}_n$ (2016) (0)
- Pluripotential theory : Cetraro, Italy 2011 (2013) (0)
- Pseudoconvex domains without pseudoconvex exhaustion (2007) (0)
- On a conjecture by Blocki and Zwonek (2016) (0)
- Stein neighborhood basis (2007) (0)
- Large maximum modulus sets (2007) (0)
- Notes on the Short C k ’s (2022) (0)
- Introduction (Chapter 1) (1995) (0)
- Unbounded orbits (Chapter 9) (1995) (0)
- Exposing Points on the Boundary of a Strictly Pseudoconvex or a Locally Convexifiable Domain of Finite 1-Type (2013) (0)
- INFINITE TYPE GERMS OF SMOOTH HYPERSURFACES IN C n (2009) (0)
- The Ahlfors estimate (1979) (0)
- Weighted approximation in C\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {C}$$\end{document} (2019) (0)
- The union problem (2007) (0)
- Periodic points of holomorphic twist maps (2005) (0)
- Some examples (Chapter 3) (1995) (0)
- Subharmonic/Plurisubharmonic functions (2007) (0)
- Exploding orbits (Chapter 8) (1995) (0)
- Holomorphic convexity and domains of holomorphy (2007) (0)
- Complex Geometry and the Cauchy-Riemann Equation (2016) (0)
- Rational maps (Chapter 6) (1995) (0)
- Kobayashi Hyperbolicity (Chapter 2) (1995) (0)
- Holomorphic dynamics in ℂⁿ (Chapter 7) (1995) (0)
- Peak sets in weakly pseudoconvex boundaries (2007) (0)
- Infinite Entropy for Transcendental Entire Functions with an Omitted Value (2018) (0)
- UvA-DARE (Digital Academic Repository) Entropy of transcendental entire functions (2019) (0)
- SEVERAL COMPLEX VARIABLES THE L2, ∂-THEORY OF HORMANDER (2014) (0)
- Recurrent Fatou components (Chapter 5) (1995) (0)
- On Supnorm Estimates for $\dbar$ on Convex Domains in C^2 (2012) (0)
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