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) |
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 |
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 |
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. |
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 |
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 |
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 |
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. |
Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Evans, William Desmond 2010. Spectral Analysis of Relativistic Operators. London: Imperial College Press. |
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. |
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 |
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. |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |
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 |