Brown, B. M. ORCID: https://orcid.org/0000-0002-2871-6591, Evans, W. D. and Wood, I. G.
2021.
Non-negative extensions of Hamiltonian systems.
Fritz Gesztesy and Andrei Martinez-Finkelshtein, eds.
From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory,
Operator Theory: Advances and Applications,
Springer,
pp. 15-39.
(10.1007/978-3-030-75425-9_2)
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Brown, Brian ORCID: https://orcid.org/0000-0002-2871-6591, Evans, W D. and Wood, I G.
2019.
Positive self-adjoint operator extensions with applications to differential operators.
Integral Equations and Operator Theory
91
, 41.
10.1007/s00020-019-2540-4
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Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591 and Evans, William Desmond
2016.
Selfadjoint and m sectorial extensions of Sturm-Liouville operators.
Integral Equations and Operator Theory
85
(2)
, pp. 151-166.
10.1007/s00020-016-2296-z
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William Desmond and Roger, Lewis
2015.
The analysis and geometry of Hardy's Inequality.
Springer.
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| Edmunds, D. E., Evans, William Desmond and Harris, D. J. 2013. The structure of compact linear operators in Banach spaces. Revista Mathematica Complutense 26 (2) , pp. 445-469. 10.1007/s13163-012-0107-x |
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William Desmond and Lewis, R. T.
2012.
Hardy's inequality and curvature.
Journal of Functional Analysis
262
(2)
, pp. 648-666.
10.1016/j.jfa.2011.10.001
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William Desmond and Umeda, Tomio
2011.
The Dirac-Hardy and Dirac-Sobolev inequalities in L1.
Publications of the Research Institute for Mathematical Sciences
47
(3)
, pp. 791-801.
10.2977/PRIMS/51
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond
2010.
Some recent results on Hardy-type inequalities.
Applied Mathematics and Information Sciences
4
(2)
, pp. 191-208.
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond
2010.
Spectral Analysis of Relativistic Operators.
London:
Imperial College Press.
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Evans, William Desmond and Schmidt, Karl Michael ORCID: https://orcid.org/0000-0002-0227-3024
2009.
A discrete Hardy-Laptev-Weidl type inequality and associated Schrödinger-type operators.
Revista Matemática Complutense
22
(1)
, pp. 75-90.
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William Desmond and Saito, Y.
2008.
Dirac-Sobolev inequalities and estimates for the zero modes of massless Dirac operators.
Journal of Mathematical Physics
49
(4)
, 043514.
10.1063/1.2912229
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William and Hundertmark, Dirk
2008.
On inequalities of Hardy-Sobolev type.
Banach Journal of Mathematical Analysis (BJMA)
2
(2)
, pp. 94-106.
|
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Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591 and Evans, William Desmond
2006.
Foreword.
Journal of Computational and Applied Mathematics
194
(1)
, p. 1.
10.1016/j.cam.2005.06.032
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| Evans, William Desmond and Solomyak, Michail 2005. Smilansky's model of irreversible quantum graphs: I. The absolutely continuous spectrum. Journal of Physics A: Mathematical and General 38 (21) , pp. 4611-4627. 10.1088/0305-4470/38/21/007 |
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Brown, Brian Malcom ORCID: https://orcid.org/0000-0002-2871-6591 and Evans, William Desmond
2004.
Preface [Editorial].
Journal of Computational and Applied Mathematics
171
(1-2)
, ix.
10.1016/j.cam.2004.01.004
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| Evans, William Desmond, Harris, D. J. and Saito, Y. 2004. On the approximation numbers of Sobolev embeddings on singular domains and trees. The Quarterly Journal of Mathematics 55 (3) , pp. 267-302. 10.1093/qmath/hag050 |
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Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591, Eastham, M. S. P. and Evans, William Desmond
2004.
Laudatum.
Journal of computational and applied mathematics
171
(1-2)
, xi-xiii.
10.1016/j.cam.2004.01.034
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Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591, Evans, William Desmond and Plum, Michael
2003.
Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems.
Proceedings of the London Mathematical Society
87
(2)
, pp. 419-450.
10.1112/S0024611503014096
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond
2002.
On the Zero Modes of Weyl-Dirac Operators and their Multiplicity.
Bulletin of the London Mathematical Society
34
(2)
, pp. 236-242.
10.1112/S0024609301008736
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond
2002.
On the spectral properties of the Brown-Ravenhall operator.
Journal of Computational and Applied Mathematics
148
(1)
, pp. 239-255.
10.1016/S0377-0427(02)00583-6
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William Desmond and Lewis, R. T.
2001.
On the number of negative eigenvalues of Schrödinger operators with an Aharanov-Bohm magnetic field.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences
457
(2014)
, pp. 2481-2489.
10.1098/rspa.2001.0851
|
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| Evans, William Desmond, Harris, D. J. and Lang, J. 2001. The approximation numbers of Hardy-type operators on trees. Proceedings of the London Mathematical Society 83 (2) , pp. 390-418. 10.1112/plms/83.2.390 |
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond
2001.
On the zero modes of Pauli operators.
Journal of Functional Analysis
179
(1)
, pp. 120-135.
10.1006/jfan.2000.3670
|
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William Desmond and Lewis, Roger T.
2001.
Sobolev, Hardy and CLR inequalities associated with Pauli operators in R3 [Letter].
Journal of Physics A: Mathematical and General
34
(5)
, L19-L23.
10.1088/0305-4470/34/5/101
|
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond
1999.
On the stability of relativistic one-electron molecules [Letter].
Journal of Physics A: Mathematical and General
32
(11)
, L129-L132.
10.1088/0305-4470/32/11/001
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond
1999.
Stability of One-Electron Molecules in the Brown-Ravenhall Model.
Communications in Mathematical Physics
202
(2)
, pp. 481-500.
10.1007/s002200050592
|
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Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond
1998.
On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded Eigenvalues.
Letters in Mathematical Physics
44
(3)
, pp. 233-248.
10.1023/A:1007425400991
|
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Beynon, Malcolm James ORCID: https://orcid.org/0000-0002-5757-270X, Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591 and Evans, William Desmond
1993.
On an Inequality of the Kolmogorov Type for a Second-Order Differential Expression.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
442
(1916)
, pp. 555-569.
10.1098/rspa.1993.0121
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