Rudi Weikard

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All published works

Action	Title	Year	Authors
+ PDF Chat	The limit-point/limit-circle classification for ordinary differential equations with distributional coefficients	2024	Varun Bhardwaj Rudi Weikard
+ PDF Chat	On Fourier expansions for systems of ordinary differential equations with distributional coefficients	2024	Steven Redolfi Rudi Weikard
+	Comparison and oscillation theorems for first order systems with distributional coefficients	2024	Minh Tùng Nguyễn Rudi Weikard
+	Asymptotic Behavior of Eigenvalues for First-Order Systems with Distributional Coefficients	2023	Minh Tùng Nguyễn Rudi Weikard
+	On the spectral theory of systems of first order equations with periodic distributional coefficients	2023	Kevin Campbell Rudi Weikard
+	On Fourier expansions for systems of ordinary differential equations with distributional coefficients	2023	Steven Redolfi Rudi Weikard
+	The limit-point/limit-circle classification for ordinary differential equations with distributional coefficients	2023	Varun Bhardwaj Rudi Weikard
+	On the Spectral Theory of Systems of First Order Equations with Periodic Distributional Coefficients	2023	Kevin Campbell Rudi Weikard
+ PDF Chat	Green’s Functions for First-Order Systems of Ordinary Differential Equations without the Unique Continuation Property	2022	Steven Redolfi Rudi Weikard
+ PDF Chat	Sign-changing points of solutions of homogeneous Sturm–Liouville equations with measure-valued coefficients	2021	Ahmed Ghatasheh Rudi Weikard
+	Left-definite Sturm–Liouville equations	2020	Christer Bennewitz Malcolm Brown Rudi Weikard
+	Oscillation, spectral asymptotics and special functions	2020	Christer Bennewitz Malcolm Brown Rudi Weikard
+	Uniqueness of the inverse problem	2020	Christer Bennewitz Malcolm Brown Rudi Weikard
+	Spectral and Scattering Theory for Ordinary Differential Equations	2020	Christer Bennewitz Malcolm Brown Rudi Weikard
+	Sturm–Liouville equations	2020	Christer Bennewitz Malcolm Brown Rudi Weikard
+	Abstract spectral theory	2020	Christer Bennewitz Malcolm Brown Rudi Weikard
+	Hilbert space	2020	Christer Bennewitz Malcolm Brown Rudi Weikard
+	Sign-Changing Points of Solutions of Homogeneous Sturm-Liouville Equations with Measure-Valued Coefficients	2019	Ahmed Ghatasheh Rudi Weikard
+ PDF Chat	On the spectral theory for first-order systems without the unique continuation property	2019	Kevin Campbell Minh Tùng Nguyễn Rudi Weikard
+	Spectral theory for systems of ordinary differential equations with distributional coefficients	2019	Ahmed Ghatasheh Rudi Weikard
+	Sign-Changing Points of Solutions of Homogeneous Sturm-Liouville Equations with Measure-Valued Coefficients	2019	Ahmed Ghatasheh Rudi Weikard
+ PDF Chat	Donoghue-type m-functions for Schrödinger operators with operator-valued potentials	2018	Fritz Gesztesy Serguei Naboko Rudi Weikard Maxim Zinchenko
+ PDF Chat	On Leighton's comparison theorem	2017	Ahmed Ghatasheh Rudi Weikard
+	The Spectral Problem for the Dispersionless Camassa–Holm Equation	2016	C. Bennewitz B. M. Brown Rudi Weikard
+	Donoghue-Type $m$-Functions for Schrödinger Operators with Operator-Valued Potentials	2016	Fritz Gesztesy Serguei Naboko Rudi Weikard Maxim Zinchenko
+	Donoghue-Type $m$-Functions for Schr\"odinger Operators with Operator-Valued Potentials	2015	Fritz Gesztesy Serguei Naboko Rudi Weikard Maxim Zinchenko
+	Donoghue-Type $m$-Functions for Schrödinger Operators with Operator-Valued Potentials	2015	Fritz Gesztesy Serguei Naboko Rudi Weikard Maxim Zinchenko
+	The inverse resonance problem for left-definite Sturm–Liouville operators	2014	Matthew Bledsoe Rudi Weikard
+ PDF Chat	Some Remarks on the Spectral Problem Underlying the Camassa–Holm Hierarchy	2014	Fritz Gesztesy Rudi Weikard
+ PDF Chat	Stability for the inverse resonance problem for the CMV operator	2013	Roman Shterenberg Rudi Weikard Maxim Zinchenko
+	On spectral theory for Schrödinger operators with operator-valued potentials	2013	Fritz Gesztesy Rudi Weikard Maxim Zinchenko
+ PDF Chat	On a class of model Hilbert spaces	2013	Maxim Zinchenko Rudi Weikard Fritz Gesztesy
+	On Spectral Theory for Schr\"odinger Operators with Operator-Valued Potentials	2013	Fritz Gesztesy Rudi Weikard Maxim Zinchenko
+ PDF Chat	On inverse problems for left-definite discrete Sturm-Liouville equations	2013	Rami AlAhmad Rudi Weikard
+ PDF Chat	Initial value problems and Weyl-Titchmarsh theory for Schrödinger operators with operator-valued potentials	2013	Fritz Gesztesy Rudi Weikard Maxim Zinchenko
+	Stability for the inverse resonance problem for the CMV operator	2013	Roman Shterenberg Rudi Weikard Maxim Zinchenko
+	Some Remarks on the Spectral Problem Underlying the Camassa-Holm Hierarchy	2013	Fritz Gesztesy Rudi Weikard
+	On Spectral Theory for Schrödinger Operators with Operator-Valued Potentials	2013	Fritz Gesztesy Rudi Weikard Maxim Zinchenko
+	On the inverse resonance problemfor Jacobi operators—uniqueness and stability	2012	Marco Marletta Serguei Naboko Roman Shterenberg Rudi Weikard
+ PDF Chat	A uniqueness result for one‐dimensional inverse scattering	2012	C. Bennewitz B. M. Brown Rudi Weikard
+	On a class of Model Hilbert Spaces	2011	Fritz Gesztesy Rudi Weikard Maxim Zinchenko
+	Initial Value Problems and Weyl--Titchmarsh Theory for Schr\	2011	Fritz Gesztesy Rudi Weikard Maxim Zinchenko
+	Initial Value Problems and Weyl--Titchmarsh Theory for Schr\"odinger Operators with Operator-Valued Potentials	2011	Fritz Gesztesy Rudi Weikard Maxim Zinchenko
+	On a class of Model Hilbert Spaces	2011	Fritz Gesztesy Rudi Weikard Maxim Zinchenko
+	Initial Value Problems and Weyl--Titchmarsh Theory for Schrödinger Operators with Operator-Valued Potentials	2011	Fritz Gesztesy Rudi Weikard Maxim Zinchenko
+	The inverse resonance problem for CMV operators	2010	Rudi Weikard Maxim Zinchenko
+	On the Inverse Resonance Problem for Schrödinger Operators	2009	Marco Marlettta Roman Shterenberg Rudi Weikard
+	The Inverse Resonance Problem for Hermite Operators	2009	B. M. Brown Serguei Naboko Rudi Weikard
+	On the Inverse Resonance Problem for Schrodinger Operators	2009	Marco Marletta Roman Shterenberg Rudi Weikard
+	On Inverse Problems for Finite Trees	2008	B. M. Brown Rudi Weikard
+	Stability for the inverse resonance problem for a Jacobi operator with complex potential	2007	Marco Marletta Rudi Weikard
+	Error estimates for non-selfadjoint inverse Sturm-Liouville problems with finite spectral data	2007	Marco Marletta Rudi Weikard
+	Recent Advances in Differential Equations and Mathematical Physics	2006	N. Chernov Yulia Karpeshina Ian Knowles Roger T. Lewis Rudi Weikard
+	Recent advances in differential equations and mathematical physics : UAB International Conference on Differential Equations and Mathematical Physics, March 29-April 2, 2005, University of Alabama at Birmingham	2006	N. Chernov Yulia Karpeshina Ian Knowles Roger T. Lewis Rudi Weikard
+	An explicit characterization of Calogero–Moser systems	2005	Fritz Gesztesy Karl Unterkofler Rudi Weikard
+	The Inverse Resonance Problem for Jacobi Operators	2005	B. M. Brown Serguei Naboko Rudi Weikard
+	A Borg–Levinson theorem for trees	2005	B. M. Brown Rudi Weikard
+	Weak stability for an inverse Sturm–Liouville problem with finite spectral data and complex potential	2005	Marco Marletta Rudi Weikard
+ PDF Chat	The inverse resonance problem for perturbations of algebro-geometric potentials	2004	B. M. Brown Rudi Weikard
+	A local Borg-Marchenko theorem for difference equations with complex coefficients	2004	Rudi Weikard
+	ON THE INVERSE RESONANCE PROBLEM	2003	B. M. Brown Ian Knowles Rudi Weikard
+	Advances in Differential Equations and Mathematical Physics	2003	Yulia Karpeshina Rudi Weikard Yanni Zeng
+	An Explicit Characterization of Calogero--Moser Systems	2003	Fritz Gesztesy Karl Unterkofler Rudi Weikard
+	On a Theorem of Halphen and its Application to Integrable Systems	2003	Fritz Gesztesy Karl Unterkofler Rudi Weikard
+	A local Borg–Marchenko theorem for complex potentials	2002	B. M. Brown R.A. Peacock Rudi Weikard
+	On Commuting Matrix Differential Operators	2002	Rudi Weikard
+	On a Theorem of Halphen and its Application to Integrable Systems	2000	Fritz Gesztesy Karl Unterkofler Rudi Weikard
+ PDF Chat	𝐿^{𝑝}-𝐿^{𝑝} estimates for the Schrödinger equation and inverse scattering	2000	Rudi Weikard Gilbert Weinstein
+	On the kernel of 𝑆𝑝𝑖𝑛^{𝑐} Dirac operators on 𝕊³ and ℝ³	2000	Rudi Weikard Gilbert Weinstein
+	On the initial value problem of the Toda and Kac-van Moerbeke hierarchies	2000	Rudi Weikard Gilbert Weinstein
+	Schrödinger operator perturbed by dynamics of lower dimension	2000	Rudi Weikard Gilbert Weinstein
+	Approximate eigenvectors and spectral theory	2000	Rudi Weikard Gilbert Weinstein
+	Spectral issues for block operator matrices	2000	Rudi Weikard Gilbert Weinstein
+ PDF Chat	A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions	2000	Rudi Weikard Gilbert Weinstein
+	Correlations, spectral gap and log-Sobolev inequalities for unbounded spins systems	2000	Rudi Weikard Gilbert Weinstein
+	The multiformity of Lifshits tails caused by random Landau Hamiltonians with repulsive impurity potentials of different decay at infinity	2000	Rudi Weikard Gilbert Weinstein
+ PDF Chat	Realizing holonomic constraints in classical and quantum mechanics	2000	Rudi Weikard Gilbert Weinstein
+ PDF Chat	Approach to the singularity in spatially inhomogeneous cosmologies	2000	Rudi Weikard Gilbert Weinstein
+	The ground state energy of a dilute Bose gas	2000	Rudi Weikard Gilbert Weinstein
+	A minimax principle for eigenvalues in spectral gaps	2000	Rudi Weikard Gilbert Weinstein
+ PDF Chat	One dimensional regularizations of the Coulomb potential with application to atoms in strong magnetic fields	2000	Rudi Weikard Gilbert Weinstein
+	Stationary states of Vlasov system	2000	Rudi Weikard Gilbert Weinstein
+	Variational principle for the limit cycle of Rayleigh’s equation	2000	Rudi Weikard Gilbert Weinstein
+ PDF Chat	Semiclassical dynamics and exponential asymptotics	2000	Rudi Weikard Gilbert Weinstein
+	Construction of a solution to the semilinear elliptic equation in Chern-Simons gauge theory	2000	Rudi Weikard Gilbert Weinstein
+	On the absolute continuity of the periodic Schrödinger and Dirac operators with magnetic potential	2000	Rudi Weikard Gilbert Weinstein
+	On some reverse inequalities in the Segal-Bargmann space	2000	Rudi Weikard Gilbert Weinstein
+	On the distribution of scattering resonances for asymptotically hyperbolic manifolds	2000	Rudi Weikard Gilbert Weinstein
+	Distribution of eigenvalues in the dense point spectrum of Schrödinger operators	2000	Rudi Weikard Gilbert Weinstein
+	Hyperbolic inverse problem with data on a part of the boundary	2000	Rudi Weikard Gilbert Weinstein
+ PDF Chat	A class of non-selfadjoint Hill’s operators with analytic potentials	2000	Rudi Weikard Gilbert Weinstein
+	Assessing accuracy in a numerical Einstein solver	2000	Rudi Weikard Gilbert Weinstein
+	Some fully nonlinear equations in conformal geometry	2000	Rudi Weikard Gilbert Weinstein
+	Best Sobolev inequalities on Riemannian manifolds	2000	Rudi Weikard Gilbert Weinstein
+	Trace formulae and completely integrable Hamiltonians	2000	Rudi Weikard Gilbert Weinstein
+ PDF Chat	On commuting differential operators	2000	Rudi Weikard
+	Differential equations and mathematical physics : proceedings of an international conference held at the University of Alabama in Birmingham, March 16-20, 1999	2000	Rudi Weikard Gilbert Weinstein
+	Floquet theory for linear differential equations with meromorphic solutions	2000	Rudi Weikard
+ PDF Chat	On rational and periodic solutions of stationary KdV equations	1999	Rudi Weikard
+	Toward a characterization of elliptic solutions of hierarchies of soliton equations	1999	Fritz Gesztesy Rudi Weikard
+	On a theorem of Hochstadt	1998	Rudi Weikard
+ PDF Chat	A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy	1998	Fritz Gesztesy Rudi Weikard
+ PDF Chat	Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach	1998	Fritz Gesztesy Rudi Weikard
+	On second order linear differential equations with inverse square singularities	1998	Rudi Weikard
+	Elliptic Algebro-Geometric Solutions of the KdV and AKNS Hierarchies - An Analytic Approach	1998	Fritz Gesztesy Rudi Weikard
+	Picard Operators	1998	Rudi Weikard
+	A Characterization of All Elliptic Solutions of the AKNS Hierarchy	1997	Fritz Gesztesy Rudi Weikard
+	Picard potentials and Hill's equation on a torus	1996	Fritz Gesztesy Rudi Weikard
+	A characterization of elliptic finite-gap potentials	1995	Fritz Gesztesy Rudi Weikard
+	Lamé Potentials and the Stationary (m)KdV Hierarchy	1995	Fritz Gesztesy Rudi Weikard
+	On Picard potentials	1995	Fritz Gesztesy Rudi Weikard
+	Picard and finite-gap potentials	1995	Fritz Gesztesy Rudi Weikard
+ PDF Chat	On Picard potentials	1995	Fritz Gesztesy Rudi Weikard
+	ON GELFAND–DICKEY AND DRINFELD–SOKOLOV SYSTEMS	1994	Fritz Gesztesy David Race Karl Unterkofler Rudi Weikard
+	Asymptotically correct lower bound for the sum of negative eigenvalues of Schrödinger operators through a decomposition of unity given by Macke	1994	Heinz Siedentop Rudi Weikard
+	On (Modified) Boussinesq-Type Systems and Factorizations of Associated Linear Differential Expressions	1993	Friedrich Gesztesy David Race Rudi Weikard
+	Spectral Deformations and Soliton Equations	1993	Fritz Gesztesy Rudi Weikard
+	On the Absence of a First Order COrrection for the Number of Bound States of a Schrödinger operator with Coulomb Singularity	1992	Helffer Bernard Knauf Andreas Siedentop Heinz Rudi Weikard
+ PDF Chat	A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators	1991	Heinz Siedentop Rudi Weikard
+	On the leading correction of the Thomas-Fermi model: Lower bound	1989	Heinz Siedentop Rudi Weikard Andreas Müller
+	Proof of Scott's conjecture	1989	Heinz Siedentop Rudi Weikard

Common Coauthors

Coauthor	Papers Together
Fritz Gesztesy	33
Gilbert Weinstein	29
Maxim Zinchenko	17
B. M. Brown	9
Malcolm Brown	7
Christer Bennewitz	7
Serguei Naboko	7
Roman Shterenberg	5
Marco Marletta	5
Karl Unterkofler	5
Ahmed Ghatasheh	5
Heinz Siedentop	4
Minh Tùng Nguyễn	3
Yulia Karpeshina	3
Kevin Campbell	3
Ian Knowles	3
Steven Redolfi	3
Varun Bhardwaj	2
David Race	2
Roger T. Lewis	2
N. Chernov	2
C. Bennewitz	2
Yanni Zeng	1
Rami AlAhmad	1
Marco Marlettta	1
Matthew Bledsoe	1
Andreas Müller	1
R.A. Peacock	1
Knauf Andreas	1
Siedentop Heinz	1
Friedrich Gesztesy	1
Helffer Bernard	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Picard potentials and Hill's equation on a torus	1996	Fritz Gesztesy Rudi Weikard	15
+	Rational and elliptic solutions of the korteweg‐de vries equation and a related many‐body problem	1977	Hélène Airault H. P. McKean J. Moser	12
+ PDF Chat	Loop groups and equations of KdV type	1985	Graeme Segal George Wilson	11
+	<i>Theory of Ordinary Differential Equations</i>	1956	Earl A. Coddington Norman Levinson T. Teichmann	11
+	Commutative Ordinary Differential Operators	1923	J. L. Burchnall T. W. Chaundy	10
+	Verdier elliptic solitons and the Weierstrass theory of reduction	1989	E. D. Belokolos V. Z. �nol'skii	10
+	Elliptic solutions of the Korteweg-de Vries equation	1989	A. O. Smirnov	10
+	The periodic problem for the Korteweg?de vries equation	1975	S P Novikov	10
+	Finite-gap elliptic solutions of the KdV equation	1994	A. O. Smirnov	9
+	Algebro-geometric approach to nonlinear integrable equations	1994	E. D. Belokolos	9
+	Spectral theory for systems of ordinary differential equations with distributional coefficients	2019	Ahmed Ghatasheh Rudi Weikard	9
+	Elliptic solutions of nonlinear equations	1990	I. A. Taĭmanov	9
+	Ordinary Differential Equations	1945	A. T. Lonseth E. L. Ince	9
+	Sturm-Liouville Operators and Applications	1986	V. А. Marchenko	9
+	Elliptic solutions of nonlinear integrable equations and related topics	1994	I. M. Krichever	9
+	Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles	1981	I. M. Krichever	9
+	Revêtements exceptionnels et sommes de 4 nombres triangulaires	1992	Armando Treibich Jean-Louis Verdier	9
+	Pole expansions of nonlinear partial differential equations	1977	D. V. Choodnovsky G. V. Choodnovsky	9
+	Spectral characteristics of elliptic solitons	1993	N. A. Kostov V. Z. �nol'skii	9
+	Schr�dinger operators with finite-gap spectrum and N-soliton solutions of the Korteweg-de Vries equation	1975	A. R. Its V. B. Matveev	9
+	On the geometry of elliptic solitons	1994	V. Z. Enolski N. A. Kostov	9
+	Elements of the Theory of Elliptic Functions	1990	Н. И. Ахиезер	9
+	Expansions in eigenfunctions of selfadjoint operators	1968	Ю. М. Березанский Richard Bolstein	8
+	The extension theory of Hermitian operators and the moment problem	1995	Volodymyr Derkach M. M. Malamud	8
+	An algebro-geometric interpretation of the Bäcklund-transformation for the Korteweg-de Vries equation	1982	Fritz Ehlers Horst Knörrer	8
+	Sturm–Liouville boundary value problems with operator potentials and unitary equivalence	2012	M. M. Malamud Hagen Neidhardt	8
+	Boundary values of analytic operator functions with a positive imaginary part	1989	Serguei Naboko	8
+ PDF Chat	Weyl function and spectral properties of self-adjoint extensions	2002	Johannes F. Brasche M. M. Malamud Hagen Neidhardt	8
+	None	2002	M. M. Malamud Semyon Malamud	8
+ PDF Chat	On the representation and approximation of a class of operator-valued analytic functions	1975	Graham Allen F. J. Narcowich	8
+	On the solutions in elliptic functions of integrable nonlinear equations	1983	V. Z. Enolski	8
+	On the unitary equivalence of absolutely continuous parts of self-adjoint extensions	2010	M. M. Malamud Hagen Neidhardt	8
+ PDF Chat	On the two-gap locus for the elliptic Calogero-Moser model	1995	V. Z. Enolski J. C. Eilbeck	8
+	A unitary invariant for pairs of self-adjoint operators.	1976	Richard Carey	8
+ PDF Chat	On Matrix-Valued Herglotz Functions	2000	Fritz Gesztesy Eduard Tsekanovskiı̆	8
+	Dynamics of the Calogero?Moser system and the reduction of hyperelliptic integrals to elliptic integrals	1986	A. R. Its V. Z. �nol'skii	8
+	<i>Theory of Functions of a Complex Variable</i>	1966	A. I. Markushevich Richard A. Silverman J. Gillis	8
+	THE STATIONARY METHOD IN THE ABSTRACT THEORY OF SCATTERING	1967	M. Sh. Birman S B Èntina	8
+ PDF Chat	On a theorem of Picard	1998	Fritz Gesztesy W. Sticka	8
+	Generalized resolvents and the boundary value problems for Hermitian operators with gaps	1991	Volodymyr Derkach M. M. Malamud	8
+	Inverse Sturm-Liouville Problems	1987	B. M. Levitan	8
+	Meromorphic solutions of nonlinear partial differential equations and many-particle completely integrable systems	1979	D. V. Chudnovsky	8
+ PDF Chat	The boundary behaviour of $S_p$-valued functions analytic in the half-plane with nonnegative imaginary part	1994	Serguei Naboko	8
+ PDF Chat	Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach	1998	Fritz Gesztesy Rudi Weikard	8
+	The mathematical theory of the <i>R</i> matrix. II. The <i>R</i> matrix and its properties	1974	Francis J. Narcowich	8
+	Spectral Asymptotics for Sturm-Liouville Equations	1989	C. Bennewits	8
+	Triangular and Jordan representations of linear operators	1971	M. S. Brodskiĭ	8
+	ON THE INVERSE RESONANCE PROBLEM	2003	B. M. Brown Ian Knowles Rudi Weikard	7
+	New elliptic potentials	1994	Armando Treibich	7
+	Commutative ordinary differential operators	1928	J. L. Burchnall T. W. Chaundy	7