B. M. Brown

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All published works

Action	Title	Year	Authors
+	Working with Sergey Naboko on Boundary Triples	2023	B. M. Brown Marco Marletta Ian Wood
+	The spectral form of the functional model for maximally dissipative operators: A Lagrange identity approach	2022	B. M. Brown Marco Marletta Serguei Naboko Ian Wood
+ PDF Chat	THE INVERSE PROBLEM FOR A SPECTRAL ASYMMETRY FUNCTION OF THE SCHRÖDINGER OPERATOR ON A FINITE INTERVAL	2021	B. M. Brown Karl Michael Schmidt Stephen P. Shipman Ian Wood
+	Non-negative Extensions of Hamiltonian Systems	2021	B. M. Brown W. D. Evans Ian Wood
+	The inverse problem for a spectral asymmetry function of the Schr\"odinger operator on a finite interval.	2020	B. M. Brown Karl Michael Schmidt Stephen P. Shipman Ian Wood
+	Gap localization of multiple TE‐Modes by arbitrarily weak defects	2020	B. M. Brown Vu Hoang Michael Plum Maria Radosz Ian Wood
+	The inverse problem for a spectral asymmetry function of the Schrödinger operator on a finite interval	2020	B. M. Brown Karl Michael Schmidt Stephen P. Shipman Ian Wood
+	Weyl solutions and j-selfadjointness for Dirac operators	2019	B. M. Brown Martin Klaus M. M. Malamud Vadim Mogilevskii Ian Wood
+	Gap Localization of TE-Modes by arbitrarily weak defects - multiband case	2019	B. M. Brown Vu Hoang Michael Plum Maria Radosz Ian Wood
+	Gap Localization of TE-Modes by arbitrarily weak defects - multiband case	2019	B. M. Brown Vu Hoang M. Plum Maria Radosz Ian Wood
+ PDF Chat	Compressed Resolvents and Reduction of Spectral Problems on Star Graphs	2018	B. M. Brown Heinz Langer Christiane Tretter
+	The functional model for maximal dissipative operators: An approach in the spirit of operator knots	2018	B. M. Brown Marco Marletta Serguei Naboko Ian Wood
+	Weyl Solutions and J-selfadjointness for Dirac operators	2017	B. M. Brown Martin Klaus M. M. Malamud Vadim Mogilevskii Ian Wood
+	Uniqueness for an inverse problem in electromagnetism with partial data	2016	B. M. Brown Marco Marletta Juan Manuel Reyes
+	The Spectral Problem for the Dispersionless Camassa–Holm Equation	2016	C. Bennewitz B. M. Brown Rudi Weikard
+	Selfadjoint and $m$ sectorial extensions of Sturm-Liouville operators	2016	B. M. Brown W. D. Evans
+ PDF Chat	On the spectrum of waveguides in planar photonic bandgap structures	2015	B. M. Brown Vu Hoang Michael Plum Ian Wood
+ PDF Chat	Guaranteed resonance enclosures and exclosures for atoms and molecules	2014	Sabine Bögli B. M. Brown Marco Marletta Christiane Tretter Markus Wagenhofer
+	The detectable subspace of a non-selfadjoint operator	2014	B. M. Brown Marco Marletta Serguei Naboko Ian Wood
+	An abstract inverse problem for boundary triples with an application to the Friedrichs Model	2014	B. M. Brown Marco Marletta Serguei Naboko Ian Wood
+ PDF Chat	Some spectral properties of Rooms and Passages domains and their skeletons	2013	B. M. Brown W. D. Evans Ian Wood
+	Spectrum created by line defects in periodic structures	2013	B. M. Brown Vu Hoang Michael Plum Ian Wood
+	Bessel-Type Operators with an Inner Singularity	2012	B. M. Brown Heinz Langer Matthias Langer
+	Periodic Differential Operators	2012	B. M. Brown Michael S. P. Eastham Karl Michael Schmidt
+	Oscillations	2012	B. M. Brown Michael S. P. Eastham Karl Michael Schmidt
+	Perturbations	2012	B. M. Brown Michael S. P. Eastham Karl Michael Schmidt
+ PDF Chat	A uniqueness result for one‐dimensional inverse scattering	2012	C. Bennewitz B. M. Brown Rudi Weikard
+	Spectral theory, function spaces and inequalities : new techniques and recent trends	2012	B. M. Brown Ian Wood Ján Lang
+	Spectral Theory, Function Spaces and Inequalities	2011	B. M. Brown Ján Lang Ian Wood
+	A variational approach to an electromagnetic inverse problem	2011	B. M. Brown Mathias Jais
+	Analysis of Regge poles for the Schrödinger equation	2009	April L. Hiscox B. M. Brown Marco Marletta
+	The Inverse Resonance Problem for Hermite Operators	2009	B. M. Brown Serguei Naboko Rudi Weikard
+	On Inverse Problems for Finite Trees	2008	B. M. Brown Rudi Weikard
+	Estimates for the lowest eigenvalue of a star graph	2008	B. M. Brown M. S. P. Eastham Ian Wood
+	Spectral Properties of a q-Sturm–Liouville Operator	2008	B. M. Brown Jacob S. Christiansen Karl Michael Schmidt
+ PDF Chat	Conditions for the spectrum associated with an asymptotically straight leaky wire to contain an interval [− α2/4, ∞)	2008	B. M. Brown M. S. P. Eastham Ian Wood
+	On Spectral Bounds for Photonic Crystal Waveguides	2008	B. M. Brown Vu Hoang Michael Plum Ian Wood
+	The HELP inequality on trees	2008	B. M. Brown Matthias Langer Karl Michael Schmidt
+	M-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems	2008	B. M. Brown Gerd Grubb Ian Wood
+	Titchmarsh's asymptotic formula for periodic eigenvalues and an extension to the p-Laplacian	2007	B. M. Brown M. S. P. Eastham
+	Eigenvalues of the radial <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>p</mml:mi></mml:math>-Laplacian with a potential on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mo>∞</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:math>	2007	B. M. Brown M. S. P. Eastham
+	Extensions of the Kummer evaluation of a finite hypergeometric series	2006	B. M. Brown M. S. P. Eastham
+	A variational approach to an elastic inverse problem	2005	B. M. Brown Mathias Jais Ian Knowles
+	The Inverse Resonance Problem for Jacobi Operators	2005	B. M. Brown Serguei Naboko Rudi Weikard
+	A note on the Dixon formula for a finite hypergeometric series	2005	B. M. Brown M. S. P. Eastham
+	A Borg–Levinson theorem for trees	2005	B. M. Brown Rudi Weikard
+	Spectral concentrations and resonances of a second–order block operator matrix and an associated λ–rational Sturm-Liouville problem	2004	B. M. Brown Matthias Langer Marco Marletta
+	Extended Hurwitz results for hypergeometric functions arising in spectral theory	2004	B. M. Brown M. S. P. Eastham
+ PDF Chat	The inverse resonance problem for perturbations of algebro-geometric potentials	2004	B. M. Brown Rudi Weikard
+	Spectral inclusion and spectral exactness for PDEs on exterior domains	2004	B. M. Brown
+	ON THE INVERSE RESONANCE PROBLEM	2003	B. M. Brown Ian Knowles Rudi Weikard
+	The Hurwitz theorem for Bessel functions and antibound states in spectral theory	2003	B. M. Brown M. S. P. Eastham
+ PDF Chat	Spectral inclusion and spectral exactness for singular non-self-adjoint Hamiltonian systems	2003	B. M. Brown Marco Marletta
+	Eigenvalue bounds for the singular Sturm Liouville problem with a complex potential	2003	B. M. Brown Matthias Langer Marco Marletta Christiane Tretter Markus Wagenhofer
+	Inverse spectral problem for the Sturm Liouville equation	2003	B. M. Brown Valentin S. Samko Ian Knowles Marco Marletta
+	A Numerical Procedure for the Inverse Sturm-Liouville Operator	2003	B. M. Brown Valentin S. Samko Ian Knowles Marco Marletta
+	A local Borg–Marchenko theorem for complex potentials	2002	B. M. Brown R.A. Peacock Rudi Weikard
+	A limit point criterion with applications to nonselfadjoint equations	2002	C. Bennewitz B. M. Brown
+	Analytic continuation and resonance-free regions for Sturm–Liouville potentials with power decay	2002	B. M. Brown M. S. P. Eastham
+	Prof. Michael Eastham Laudatum	2002	B. M. Brown W. D. Evans
+	On the location of resonances of exponentially decaying Sturm–Liouville potentials	2002	B. M. Brown M. S. P. Eastham
+	On a computer assisted proof of the existence of eigenvalues below the essential spectrum of the Sturm–Liouville problem	2000	B. M. Brown D. K. R. McCormack Anton Zettl
+	The HELP inequality for lim-<i>p</i> Hamiltonian systems	2000	B. M. Brown Marco Marletta
+	Guaranteed Error Bounds for Eigenvalues of Singular Sturm-Liouville Problems	2000	B. M. Brown D. K. R. McCormack Marco Marletta
+	None	2000	B. M. Brown D. K. R. McCormack Marco Marletta
+	Resonances and analytic continuation for exponentially decaying Sturm–Liouville potentials	2000	B. M. Brown M. S. P. Eastham D. K. R. McCormack
+	Integro-Differential Inequality with Periodic Potential	2000	B. M. Brown V. G. Kirby
+	Analytic continuation and resonance-free regions for Sturm-Liouville pote ntials with power decay	2000	B. M. Brown M. S. P. Eastham
+	On the existence of an eigenvalue below the essential spectrum	1999	B. M. Brown D. K. R. McCormack Anton Zettl
+ PDF Chat	On the spectrum of second-order differential operators with complex coefficients	1999	B. M. Brown D. K. R. McCormack W. D. Evans Michael Plum
+ PDF Chat	Book review: Spectral Theory and Computational Methods of Sturm-Liouville Problems by Hinton and Schaefer, Marcel Dekker	1999	B. M. Brown
+ PDF Chat	The HELP inequality for Hamiltonian systems	1999	B. M. Brown W. D. Evans Marco Marletta
+ PDF Chat	Extensions of a new algorithm for the numerical solution of linear differential systems on an infinite interval	1998	B. M. Brown M. S. P. Eastham D. K. R. McCormack
+ PDF Chat	Absolute continuity and spectral concentration for slowly decaying potentials	1998	B. M. Brown M. S. P. Eastham D. K. R. McCormack
+ PDF Chat	On a New Algorithm For The Computation of Enclosures for the Titchmarsh-Weyl m-Function	1998	B. M. Brown M. S. P. Eastham D. K. R. McCormack Michael Plum
+	A Catalogue of Help and Help-type Integral and Series Inequalities	1998	M. Benammar C. Bennewitz Malcolm J. Beynon B. M. Brown N.G.J. Dias W. D. Evans W. N. Everitt V. G. Kirby Lance L. Littlejohn
+	Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix	1998	B. M. Brown M. S. P. Eastham D. K. R. McCormack W. D. Evans
+	On a New Algorithm for the Computation of Enclosures for the Titchmarsh-Weyl m-Function	1998	B. M. Brown M. S. P. Eastham D. K. R. McCormack Michael Plum
+	Spectral concentration and perturbed discrete spectra	1997	B. M. Brown M. S. P. Eastham D. K. R. McCormack
+	Spectral concentration and rapidly decaying potentials	1997	B. M. Brown M. S. P. Eastham D. K. R. McCormack
+ PDF Chat	Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix	1997	B. M. Brown M. S. P. Eastham D. K. R. McCormack W. D. Evans
+	On the spectrum of second order differential operators with complex coefficients	1997	B. M. Brown W. D. Evans D. K. R. McCormack Michael Plum
+	The HELP type integral inequalities for 2n th order differential operators	1997	B. M. Brown N.G.J. Dias
+	Computation of the <i>M</i> matrix for fourth-order problems	1996	C. Bennewitz B. M. Brown W. D. Evans D. K. R. McCormack Marco Marletta
+ PDF Chat	The Askey–Wilson polynomials and <i>q</i>-Sturm–Liouville problems	1996	B. M. Brown W. D. Evans Mourad E. H. Ismail
+ PDF Chat	A Right Inverse of the Askey-Wilson Operator	1995	B. M. Brown Mourad E. H. Ismail
+ PDF Chat	A right inverse of the Askey-Wilson operator	1995	B. M. Brown Mourad E. H. Ismail
+	The Askey-Wilson polynomials and q-Sturm-Lioville problems	1994	B. M. Brown W. D. Evans Mourad E. H. Ismail
+	Two Integral Inequalities	1994	B. M. Brown W. D. Evans W. N. Everitt V. G. Kirby
+	Repeated diagonalization and the numerical computation of the Titchmarsh-Weyl <i>m</i> (λ)-function	1994	B. M. Brown M. S. P. Eastham W. D. Evans V. G. Kirby
+	A numerical investigation of HELP inequalities	1994	B. M. Brown W. D. Evans V. G. Kirby
+	Orthogonal polynomials and extensions of Copson's inequality	1993	B. M. Brown W. D. Evans Lance L. Littlejohn
+	Safe numerical bounds for the Titchmarsh–Weyl m(λ)-function	1993	B. M. Brown V. G. Kirby W. D. Evans Michael Plum
+	A right inverse of the Askey-Wilson operator	1993	B. M. Brown Mourad E. H. Ismail
+	Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators	1992	B. M. Brown W. D. Evans Lance L. Littlejohn
+	On an extension of Copson's inequality for infinite series	1992	B. M. Brown W. D. Evans
+	Remarks	1992	B. M. Brown W. D. Evans W. N. Everitt
+	HELP integral and series inequalities	1992	B. M. Brown W. D. Evans W. N. Everitt
+	A numerical method for the determination of the Titchmarsh-Weyl <i>m</i> -coefficient	1991	B. M. Brown V. G. Kirby John D. Pryce
+	Numerical determination of the Titchmarsh-Weyl <i>m</i> -coefficient and its applications to HELP inequalities	1989	B. M. Brown V. G. Kirby John D. Pryce
+	On the limit point and strong limit point classification of 2nth order differential expressions with wildly oscillating coefficients	1974	B. M. Brown W. D. Evans
+	On the limit-point and strong limit-point classification of 2n-th order differential expressions with wildly oscillating coefficients	1973	B. M. Brown Donald D. Evans
+ PDF Chat	Relations between Finite Homology and Homotopy	1969	B. M. Brown
+	ON THE DISTRIBUTION OF THE ZEROS OF A POLYNOMIAL	1965	B. M. Brown

Common Coauthors

Coauthor	Papers Together
Ian Wood	21
M. S. P. Eastham	21
W. D. Evans	20
Marco Marletta	18
D. K. R. McCormack	16
Michael Plum	10
Rudi Weikard	9
V. G. Kirby	8
Karl Michael Schmidt	8
Vu Hoang	6
Serguei Naboko	6
C. Bennewitz	5
Mourad E. H. Ismail	5
Matthias Langer	4
Ian Knowles	4
W. N. Everitt	4
Stephen P. Shipman	3
Lance L. Littlejohn	3
W. D. Evans	3
Maria Radosz	3
Michael S. P. Eastham	3
Christiane Tretter	3
Mathias Jais	2
Vadim Mogilevskii	2
Markus Wagenhofer	2
Valentin S. Samko	2
Heinz Langer	2
Ján Lang	2
John D. Pryce	2
Martin Klaus	2
M. M. Malamud	2
Anton Zettl	2
Ian Wood	2
N.G.J. Dias	2
Sabine Bögli	1
M. Plum	1
Jacob S. Christiansen	1
M. Benammar	1
Donald D. Evans	1
Juan Manuel Reyes	1
Malcolm J. Beynon	1
April L. Hiscox	1
Gerd Grubb	1
R.A. Peacock	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	�ber gew�hnliche Differentialgleichungen mit Singularit�ten und die zugeh�rigen Entwicklungen willk�rlicher Funktionen	1910	Hermann Weyl	17
+	XXIII.—On an Extension to an Integro-differential Inequality of Hardy, Littlewood and Polya	1972	W. N. Everitt	16
+	A return to the Hardy-Littlewood integral inequality	1982	W. D. Evans W. N. Everitt	14
+	<i>Theory of Ordinary Differential Equations</i>	1956	Earl A. Coddington Norman Levinson T. Teichmann	14
+	VII.—On the Spectrum of Ordinary Second Order Differential Operators.	1969	Jyoti Chaudhuri W. N. Everitt	10
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	9
+	Numerical determination of the Titchmarsh-Weyl <i>m</i> -coefficient and its applications to HELP inequalities	1989	B. M. Brown V. G. Kirby John D. Pryce	9
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	9
+	A numerical method for the determination of the Titchmarsh-Weyl <i>m</i> -coefficient	1991	B. M. Brown V. G. Kirby John D. Pryce	8
+	SOME INTEGRAL INEQUALITIES CONNECTED WITH THE CALCULUS OF VARIATIONS	1932	G. H. Hardy J. E. Littlewood	8
+	Generalized resolvents and the boundary value problems for Hermitian operators with gaps	1991	Volodymyr Derkach M. M. Malamud	8
+	Spectral Theory and Differential Operators	2018	D. E. Edmunds Des Evans	8
+	Resonances and analytic continuation for exponentially decaying Sturm–Liouville potentials	2000	B. M. Brown M. S. P. Eastham D. K. R. McCormack	8
+ PDF Chat	Secondary Conditions for Linear Differential Operators of the Second Order	1957	Allen Sims	7
+	Repeated diagonalization and the numerical computation of the Titchmarsh-Weyl <i>m</i> (λ)-function	1994	B. M. Brown M. S. P. Eastham W. D. Evans V. G. Kirby	6
+	Direct methods of qualitative spectral analysis of singular differential operators	1965	I. M. Glazman	6
+	Norm inequalities involving derivatives	1978	W. D. Evans Anton Zettl	6
+	On the location of the Weyl circles	1981	F. V. Atkinson	6
+	On a class of integral inequalities of Hardy-Littlewood type	1993	W. D. Evans W. N. Everitt W. K. Hayman St. Ruscheweyh	6
+	<i>Discrete and Continuous Boundary Problems</i>	1964	F. V. Atkinson George H. Weiss	6
+	Safe numerical bounds for the Titchmarsh–Weyl m(λ)-function	1993	B. M. Brown V. G. Kirby W. D. Evans Michael Plum	6
+	A Proof of the Local Borg-Marchenko Theorem	2001	Christer Bennewitz	6
+	HELP integral and series inequalities	1992	B. M. Brown W. D. Evans W. N. Everitt	6
+	Spectral concentration and rapidly decaying potentials	1997	B. M. Brown M. S. P. Eastham D. K. R. McCormack	5
+	Analytic continuation and resonance-free regions for Sturm–Liouville potentials with power decay	2002	B. M. Brown M. S. P. Eastham	5
+	HELP inequalities for limit-circle and regular problems	1991	W. D. Evans W. N. Everitt	5
+	Linear differential operators	1967	M. A. Naĭmark	5
+ PDF Chat	On the spectrum of second-order differential operators with complex coefficients	1999	B. M. Brown D. K. R. McCormack W. D. Evans Michael Plum	5
+ PDF Chat	Boundary triplets and <i>M</i> -functions for non-selfadjoint operators, with applications to elliptic PDEs and block operator matrices	2008	Malcolm Brown Marco Marletta Serguei Naboko Ian Wood	5
+	The asymptotic nature of solutions of linear systems of differential equations	1948	Norman Levinson	5
+	Eigenfunction expansions associated with second-order differential equations	1946	E. C. Titchmarsh	5
+	ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM	1982	Don Hinton J. K. Shaw	5
+	The analytic continuation of the resolvent kernel and scattering operator associated with the Schroedinger operator	1966	C.L Dolph J. B. McLeod Dale Thoe	5
+	On a class of integral inequalities of Hardy-Littlewood type	1986	W. D. Evans W. N. Everitt W. K. Hayman St. Ruscheweyh	5
+	Error estimates for Runge-Kutta type solutions to systems of ordinary differential equations	1969	Roland England	5
+	On a fourth-order singular integral inequality	1978	Alex Russell	5
+	A general version of the Hardy–Littlewood–Polya–Everitt (HELP) inequality	1984	Christer Bennewitz	5
+	Boundary Value Problems for Operator Differential Equations	1991	В. И. Горбачук М. Л. Горбачук	5
+	Asymptotic Distribution of Resonances in One Dimension	1997	Richard Froese	5
+ PDF Chat	Mathematical software for Sturm-Liouville problems	1993	Steven Pruess Charles T. Fulton	4
+	ANTIBOUND STATES AND EXPONENTIALLY DECAYING STURM–LIOUVILLE POTENTIALS	2002	M. S. P. Eastham	4
+	On an extension of Copson's inequality for infinite series	1992	B. M. Brown W. D. Evans	4
+	Spectral analysis of second order difference equations	1978	Don Hinton Roger T. Lewis	4
+	Two series inequalities	1979	E. T. Copson	4
+ PDF Chat	<i>M</i> ‐functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems	2009	B. M. Brown Gerd Grubb Ian Wood	4
+	Automatic Solution of the Sturm-Liouville Problem	1978	Paul B. Bailey Marilyn K. Gordon L. F. Shampine	4
+	Schrödinger-type operators with continuous spectra	1982	M. S. P. Eastham Hubert Kalf	4
+	Asymptotics of the Titchmarsh-Weyl m-coefficient for integrable potentials, II	1987	Hans G. Kaper Man Kam Kwong	4
+ PDF Chat	Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix	1997	B. M. Brown M. S. P. Eastham D. K. R. McCormack W. D. Evans	4
+	The spectral theory of periodic differential equations	1973	M. S. P. Eastham	4