Johannes Jisse Duistermaat

Johannes Jisse Duistermaat's AcademicInfluence.com Rankings

Mathematics

#7022

World Rank

#9626

Historical Rank

Measure Theory

#1802

World Rank

#2206

Historical Rank

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Mathematics

Johannes Jisse Duistermaat's Degrees

PhD Mathematics Utrecht University

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Johannes Jisse Duistermaat'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

The spectrum of positive elliptic operators and periodic bicharacteristics (1975) (815)
On the variation in the cohomology of the symplectic form of the reduced phase space (1982) (747)
Fourier integral operators. II (1972) (569)
On global action‐angle coordinates (1980) (563)
Oscillatory integrals, lagrange immersions and unfolding of singularities (1974) (453)
Differential equations in the spectral parameter (1986) (430)
On the Morse index in variational calculus (1976) (255)
North-Holland Mathematical Library (2005) (130)
Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groups (1983) (126)
The quantum mechanical spherical pendulum (1988) (119)
The heat kernel Lefschetz fixed point formula for the spin-c dirac operator (1996) (114)
Addendum to “on the variation in the cohomology of the symplectic form of the reduced phase space” (1983) (109)
Convexity and tightness for restrictions of Hamiltonian functions to fixed point sets of an antisymplectic involution (1983) (104)
Discrete Integrable Systems (2010) (91)
Distributions: Theory and Applications (2010) (83)
Bifurcations of periodic solutions near equilibrium points of Hamiltonian systems (1984) (79)
Constant terms of powers of a Laurent polynomial (1998) (64)
On the Behavior of Spatial Critical Points under Gaussian Blurring. A Folklore Theorem and Scale-Space Constraints (2001) (53)
Multidimensional Real Analysis I: Differentiation (2004) (53)
On Hessian Riemannian structures (1999) (50)
Selfsimilarity of "Riemann's nondifferentiable function" (1994) (48)
Non-integrability of the 1:1:2–resonance (1984) (44)
Normal forms of real symmetric systems with multiplicity (1993) (39)
A global construction for pseudo-differential operators with non-involutive characteristics (1973) (34)
Chaplygin's sphere (2004) (29)
The monodromy in the Hamiltonian Hopf bifurcation (1997) (29)
On Carleman estimates for pseudo-differential operators (1972) (29)
The Spectrum of Positiv Elliptic Operators and Periodic Geodesics (1975) (29)
On the similarity between the Iwasawa projection and the diagonal part (1984) (28)
Toeplitz operators on the Dirichlet space (2004) (28)
Multidimensional real analysis (2004) (28)
Non-Hamiltonian Monodromy (2001) (28)
Equivariant cohomology and stationary phase (1993) (28)
Reduced phase space and toric variety coordinatizations of Delzant spaces (2007) (27)
The Quantum Spherical Pendulum (1988) (25)
The behavior of the index of a periodic linear Hamiltonian system under iteration (1977) (25)
Geomagnetic reversals and the stochastic exit problem (2004) (25)
Okamoto’s Space for the First Painlevé Equation in Boutroux Coordinates (2010) (23)
Multidimensional Real Analysis II: Integration (2004) (22)
Fractional Integration and Differentiation (2010) (20)
Symplectic torus actions with coisotropic principal orbits (2005) (20)
Spectra of compact locally symmetric manifolds of negative curvature (1979) (20)
ORDER-PRESERVING ISOMORPHISMS BETWEEN ALGEBRAS OF PSEUDODIFFERENTIAL OPERATORS (1976) (18)
On periodic solutions near equilibrium points of conservative systems (1972) (16)
NO PLANAR BILLIARD POSSESSES AN OPEN SET OF QUADRILATERAL TRAJECTORIES (2012) (16)
Finite expiry Russian options (2005) (14)
A characterization of the Ligon-Schaaf regularization map (1997) (12)
Lie Groups and Lie Algebras (2000) (11)
Wave attractors in a smooth convex enclosed geometry (2003) (10)
COMPLEX STRUCTURES ON FOUR-MANIFOLDS WITH SYMPLECTIC TWO-TORUS ACTIONS (2011) (7)
On first order elliptic equations for sections of complex line bundles (1972) (7)
Energy and entropy as real morphisms for addition and order (1968) (6)
On operators of trace class inL2 (X, μ) (1981) (6)
Periodic solutions of periodic systems of ordinary differential equations containing a parameter (1970) (5)
On the boundary behaviour or the Riemannian structure of a self-concordant barrier function (1999) (4)
Asymptotics of Elementary Spherical Functions (1982) (4)
Topology of symplectic torus actions with symplectic orbits (2011) (4)
Applications of Fourier integral operators (1972) (4)
Complex structures on 4-manifolds with symplectic 2-torus actions (2009) (4)
The Spin-c Dirac Operator (1996) (3)
Mathematics past and present : Fourier integral operators : selected classical articles (1994) (3)
On Contact-Transformations (1967) (3)
Principal Fiber Bundles (2)
Second order contact of minimal surfaces (2002) (2)
Pseudodifferential operators and elliptic boundary problems (1998) (2)
Book Review: Lagrangian manifolds and the Maslov operator (1992) (2)
Symplectic Geometry (2004) (2)
Classical aspects of partial differential equations (1980) (2)
Non-Hamiltonian monochromy (1997) (2)
Convergence of Distributions (2010) (2)
The Heat Kernel Expansion (1996) (1)
Automorphisms of Elliptic Surfaces (2010) (1)
Representations of Compact Groups (2000) (1)
Stationary Phase Approximation (2006) (1)
Taylor Expansion in Several Variables (2010) (1)
The light in the neighborhood of a caustic (1978) (1)
Review: Victor Guillemin and Shlomo Sternberg, Symplectic techniques in physics (1988) (1)
Examples from the Literature (2010) (1)
Multidimensional Real Analysis II: Exercises (2004) (0)
Multidimensional Real Analysis I: Inverse Function and Implicit Function Theorems (2004) (0)
The Dolbeault-Dirac Operator (1996) (0)
Differentiation of Distributions (2010) (0)
Multidimensional Real Analysis II: Introduction (2004) (0)
Finite element wavelets for solving operator equations (2000) (0)
Symplectic Differential Geometry (2011) (0)
Supports and Fourier Transform (2010) (0)
Multidimensional Real Analysis I: Introduction (2004) (0)
Distributions with Compact Support (2010) (0)
The QRT surface (2010) (0)
Review: Michael E. Taylor, Pseudodifferential operators (1982) (0)
Appendix: Equivariant Forms (2011) (0)
Compact Lie Groups (2000) (0)
Cubic Curves in the Projective Plane (2010) (0)
Transposition: Pullback and Pushforward (2010) (0)
The Spin Group and the Spin-c Group (1996) (0)
Fundamental Solutions and Fourier Transform (2010) (0)
Multidimensional Real Analysis I: Manifolds (2004) (0)
Global Theory of Fourier Integral Operators (2011) (0)
Differential Equations and Symplectic Geometry (0)
The Local Lefschetz Fixed Point Formula (2011) (0)
Application to Symplectic Geometry (2011) (0)
New light scattering technique based on phase time derivative correlation function (2016) (0)
Multidimensional Real Analysis I: Tangent Spaces (2004) (0)
Solutions to Selected Problems (2019) (0)
Integration over Submanifolds (2019) (0)
Convolution of Distributions (2010) (0)
The Pencil of Biquadratic Curves in \mathbb{P}^\mathbf{1}\times \mathbb{P}^\mathbf{1} (2010) (0)
Multiplication by Functions (2010) (0)
Multidimensional Real Analysis I: Notation (2004) (0)
Symmetric QRT Maps (2010) (0)
The QRT Map (2010) (0)
Fourier Integrals II (1973) (0)
A mathematical model for geomagnetic reversals (2005) (0)
The Daniell Closure (2008) (0)
Chaplygin's Sphere 1 Noether's Principle for Nonholomic Systems (0)
SIAM Review, Vol. 54, No. 3 pp. 617-621 (2015) (0)
Multidimensional Real Analysis I: Exercises (2004) (0)
Wavelets for solving operator equations (2001) (0)
Multidimensional Real Analysis I: Preface (2004) (0)
The Heat Kernel on a Principal Bundle (2011) (0)
Multidimensional Real Analysis I: Acknowledgments (2004) (0)
Multidimensional Real Analysis I: Continuity (2004) (0)
The Heat Kernel Method (1996) (0)
The Orbifold Version (1996) (0)
The dynamics of internal and inertial waves in enclosed basins (1998) (0)
The Hirzebruch-Riemann-Roch Integrand (1996) (0)
The Action of the QRT Map on Homology (2010) (0)
Multidimensional Real Analysis II: Oriented Integration (2004) (0)
Local Theory of Fourier Integrals (2011) (0)
Rational elliptic surfaces (2010) (0)
Elliptic Fibrations with a Real Structure (2010) (0)

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Johannes Jisse Duistermaat's Academic­Influence.com Rankings

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Why Is Johannes Jisse Duistermaat Influential?

Johannes Jisse Duistermaat's Published Works

Published Works

Johannes Jisse Duistermaat's AcademicInfluence.com Rankings