Edit Profile (opens in new tab) Nichols, Roger Co-Author Distance Author ID: nichols.roger Published as: Nichols, Roger External Links: MGP Documents Indexed: 41 Publications since 2011, including 1 Book and 3 Additional arXiv Preprints Reviewing Activity: 15 Reviews Co-Authors: 26 Co-Authors with 34 Joint Publications 882 Co-Co-Authors all top 5 Co-Authors 0 single-authored 32 Gesztesy, Fritz 4 Carey, Alan L. 4 Eckhardt, Jonathan 4 Holden, Helge 4 Sukochev, Fedor Anatol’evich 4 Teschl, Gerald 3 Hofmann, Steve 3 Levitina, Galina Borisovna 3 Littlejohn, Lance L. 3 Stanfill, Jonathan 2 Behrndt, Jussi 2 Kong, Lingju 2 Mitrea, Marius 2 Naboko, Serguei N. 2 Potapov, Denis 2 Stolz, Gunter 2 Zanin, Dmitriy V. 1 Blake Allan, S. 1 Britz, Thomas 1 Cho, Minsung 1 Connard, Carson 1 Fischbacher, Christoph 1 Fucci, Guglielmo 1 Gestesy, Fritz 1 Hoisington, Seth 1 Ingimarson, Benjamin 1 Kaad, Jens 1 Kim, Justin Hanbin 1 Kirsten, Klaus 1 Michajlyszyn, Gregory 1 Ouhabaz, El Maati 1 Pang, Michael M. H. 1 Paul, Andrew 1 Piorkowski, Mateusz 1 Rung, Don 1 Sakhnovich, Alexander L. 1 Udall, Brian 1 Zinchenko, Maxim all top 5 Serials 4 Journal of Spectral Theory 3 Journal of Differential Equations 3 Methods of Functional Analysis and Topology 2 Integral Equations and Operator Theory 2 Opuscula Mathematica 2 Operators and Matrices 1 Applicable Analysis 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Arkiv för Matematik 1 Acta Scientiarum Mathematicarum 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Mathematika 1 Proceedings of the American Mathematical Society 1 Differential and Integral Equations 1 Annales Henri Poincaré 1 Communications on Pure and Applied Analysis 1 Journal of Mathematical Physics, Analysis, Geometry 1 Complex Analysis and Operator Theory 1 Discrete and Continuous Dynamical Systems. Series S 1 Minimax Theory and its Applications 1 Proceedings of the American Mathematical Society. Series B 1 Memoirs of the European Mathematical Society all top 5 Fields 33 Operator theory (47-XX) 19 Ordinary differential equations (34-XX) 7 Partial differential equations (35-XX) 4 Quantum theory (81-XX) 3 Functional analysis (46-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral equations (45-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 201 times in 158 Documents Cited by ▼ Year ▼ Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials. Zbl 1283.34022 Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald 56 2013 Inverse spectral theory for Sturm-Liouville operators with distributional potentials. Zbl 1302.34127 Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald 17 2013 Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials. Zbl 1320.34116 Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald 16 2014 On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below. Zbl 1458.34143 Gesztesy, Fritz; Littlejohn, Lance L.; Nichols, Roger 13 2020 Inverse spectral problems for Schrödinger-type operators with distributional matrix-valued potentials. Zbl 1340.34053 Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Sakhnovich, Alexander; Teschl, Gerald 12 2015 Simplicity of eigenvalues in Anderson-type models. Zbl 1269.82030 Naboko, Sergey; Nichols, Roger; Stolz, Günter 10 2013 Boundary data maps and Krein’s resolvent formula for Sturm-Liouville operators on a finite interval. Zbl 1311.34037 Clark, Stephen; Gesztesy, Fritz; Nichols, Roger; Zinchenko, Maxim 10 2014 Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions. Zbl 1296.47041 Gesztesy, Fritz; Mitrea, Marius; Nichols, Roger 9 2014 On the global limiting absorption principle for massless Dirac operators. Zbl 1394.81115 Carey, Alan; Gesztesy, Fritz; Kaad, Jens; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor 8 2018 Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh \(M\)-functions, and a generalized index of unbounded meromorphic operator-valued functions. Zbl 1350.47009 Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger 7 2016 An abstract approach to weak convergence of spectral shift functions and applications to multi-dimensional Schrödinger operators. Zbl 1263.47015 Gesztesy, Fritz; Nichols, Roger 6 2012 Weak convergence of spectral shift functions for one-dimensional Schrödinger operators. Zbl 1263.47026 Gesztesy, Fritz; Nichols, Roger 4 2012 Principal solutions revisited. Zbl 1508.34022 Clark, Stephen; Gesztesy, Fritz; Nichols, Roger 4 2016 On stability of square root domains for non-self-adjoint operators under additive perturbations. Zbl 1345.47015 Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger 3 2016 Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions. II. Zbl 1307.47050 Gesztesy, Fritz; Mitrea, Marius; Nichols, Roger; Ouhabaz, El Maati 3 2015 On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Zbl 1316.47014 Gesztesy, Fritz; Holden, Helge; Nichols, Roger 3 2015 Erratum to: “On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions”. Zbl 1465.47010 Gesztesy, Fritz; Holden, Helge; Nichols, Roger 3 2016 A survey of some norm inequalities. Zbl 1514.47015 Gesztesy, Fritz; Nichols, Roger; Stanfill, Jonathan 3 2021 Spectral properties of the discrete random displacement model. Zbl 1242.82026 Nichols, Roger; Stolz, Günter 2 2011 On the index of meromorphic operator-valued functions and some applications. Zbl 1441.47012 Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger 2 2017 Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains. Zbl 1308.35082 Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger 2 2015 Double operator integral methods applied to continuity of spectral shift functions. Zbl 06694723 Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor 2 2016 On absence of threshold resonances for Schrödinger and Dirac operators. Zbl 1459.35107 Gesztesy, Fritz; Nichols, Roger 2 2020 The limiting absorption principle for massless Dirac operators, Properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators. Zbl 07713957 Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy 2 2023 A Jost-Pais-type reduction of (modified) Fredholm determinants for semi-separable operators in infinite dimensions. Zbl 06767994 Gesztesy, Fritz; Nichols, Roger 1 2015 Multiple weak solutions of biharmonic systems. Zbl 1490.35146 Kong, Lingju; Nichols, Roger 1 2022 The product formula for regularized Fredholm determinants. Zbl 07326419 Britz, Thomas; Carey, Alan; Gesztesy, Fritz; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy 1 2021 On principal eigenvalues of biharmonic systems. Zbl 1460.35247 Kong, Lingju; Nichols, Roger 1 2021 The limiting absorption principle for massless Dirac operators, Properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators. Zbl 07713957 Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy 2 2023 Multiple weak solutions of biharmonic systems. Zbl 1490.35146 Kong, Lingju; Nichols, Roger 1 2022 A survey of some norm inequalities. Zbl 1514.47015 Gesztesy, Fritz; Nichols, Roger; Stanfill, Jonathan 3 2021 The product formula for regularized Fredholm determinants. Zbl 07326419 Britz, Thomas; Carey, Alan; Gesztesy, Fritz; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy 1 2021 On principal eigenvalues of biharmonic systems. Zbl 1460.35247 Kong, Lingju; Nichols, Roger 1 2021 On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below. Zbl 1458.34143 Gesztesy, Fritz; Littlejohn, Lance L.; Nichols, Roger 13 2020 On absence of threshold resonances for Schrödinger and Dirac operators. Zbl 1459.35107 Gesztesy, Fritz; Nichols, Roger 2 2020 On the global limiting absorption principle for massless Dirac operators. Zbl 1394.81115 Carey, Alan; Gesztesy, Fritz; Kaad, Jens; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor 8 2018 On the index of meromorphic operator-valued functions and some applications. Zbl 1441.47012 Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger 2 2017 Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh \(M\)-functions, and a generalized index of unbounded meromorphic operator-valued functions. Zbl 1350.47009 Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger 7 2016 Principal solutions revisited. Zbl 1508.34022 Clark, Stephen; Gesztesy, Fritz; Nichols, Roger 4 2016 On stability of square root domains for non-self-adjoint operators under additive perturbations. Zbl 1345.47015 Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger 3 2016 Erratum to: “On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions”. Zbl 1465.47010 Gesztesy, Fritz; Holden, Helge; Nichols, Roger 3 2016 Double operator integral methods applied to continuity of spectral shift functions. Zbl 06694723 Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Potapov, Denis; Sukochev, Fedor 2 2016 Inverse spectral problems for Schrödinger-type operators with distributional matrix-valued potentials. Zbl 1340.34053 Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Sakhnovich, Alexander; Teschl, Gerald 12 2015 Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions. II. Zbl 1307.47050 Gesztesy, Fritz; Mitrea, Marius; Nichols, Roger; Ouhabaz, El Maati 3 2015 On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Zbl 1316.47014 Gesztesy, Fritz; Holden, Helge; Nichols, Roger 3 2015 Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains. Zbl 1308.35082 Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger 2 2015 A Jost-Pais-type reduction of (modified) Fredholm determinants for semi-separable operators in infinite dimensions. Zbl 06767994 Gesztesy, Fritz; Nichols, Roger 1 2015 Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials. Zbl 1320.34116 Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald 16 2014 Boundary data maps and Krein’s resolvent formula for Sturm-Liouville operators on a finite interval. Zbl 1311.34037 Clark, Stephen; Gesztesy, Fritz; Nichols, Roger; Zinchenko, Maxim 10 2014 Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions. Zbl 1296.47041 Gesztesy, Fritz; Mitrea, Marius; Nichols, Roger 9 2014 Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials. Zbl 1283.34022 Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald 56 2013 Inverse spectral theory for Sturm-Liouville operators with distributional potentials. Zbl 1302.34127 Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald 17 2013 Simplicity of eigenvalues in Anderson-type models. Zbl 1269.82030 Naboko, Sergey; Nichols, Roger; Stolz, Günter 10 2013 An abstract approach to weak convergence of spectral shift functions and applications to multi-dimensional Schrödinger operators. Zbl 1263.47015 Gesztesy, Fritz; Nichols, Roger 6 2012 Weak convergence of spectral shift functions for one-dimensional Schrödinger operators. Zbl 1263.47026 Gesztesy, Fritz; Nichols, Roger 4 2012 Spectral properties of the discrete random displacement model. Zbl 1242.82026 Nichols, Roger; Stolz, Günter 2 2011 all cited Publications top 5 cited Publications all top 5 Cited by 207 Authors 24 Gesztesy, Fritz 10 Nichols, Roger 8 Behrndt, Jussi 8 Sakhnovich, Alexander L. 8 Ugurlu, Ekin 6 Carey, Alan L. 6 Kostenko, Aleksey S. 6 Sukochev, Fedor Anatol’evich 6 Teschl, Gerald 5 Kirsten, Klaus 5 Levitina, Galina Borisovna 5 Mirzoev, Karakhan Agakhan 5 Potapov, Denis 5 Weikard, Rudi 4 Eckhardt, Jonathan 4 Frymark, Dale 4 Mallick, Anish 4 Shkalikov, Andreĭ Andreevich 4 Stanfill, Jonathan 4 ter Elst, Antonius Frederik Maria 3 Bondarenko, Natalia P. 3 Erdoğan, Mehmet Burak 3 Green, William R. 3 Hislop, Peter D. 3 Konechnaya, Natal’ya Nikolaevna 3 Liaw, Constanze 3 Malamud, Mark M. 2 Ao, Jijun 2 Bairamov, Elgiz 2 Băleanu, Dumitru I. 2 Blake Allan, S. 2 Damanik, David 2 Fucci, Guglielmo 2 Ghatasheh, Ahmed 2 Goldberg, Michael Joseph 2 Granovskyi, Yaroslav I. 2 Guliyev, Namig Jamiyyat oglu 2 Hofmann, Steve 2 Kim, Seick 2 Krishna, Maddaly 2 Littlejohn, Lance L. 2 Luger, Annemarie 2 Martin, Robert T. W. 2 Mitrea, Marius 2 Molyboga, Volodymyr M. 2 Naboko, Serguei N. 2 Oridoroga, Leonid L. 2 Posilicano, Andrea 2 Shi, Guoliang 2 Šimon Hilscher, Roman 2 Taş, Kenan 2 Zanin, Dmitriy V. 2 Zemánek, Petr 1 Acharya, Keshav Raj 1 Akbarpoor Kiasary, Shahrbanoo 1 Anan’eva, Aleksandra Yur’evna 1 Ashbaugh, Mark S. 1 Bai, Yu 1 Bailey, Julian 1 Barucq, Hélène 1 Bécache, Eliane 1 Beigl, Alexander 1 Bekkey, Chokri 1 Ben-Artzi, Matania 1 Bingham, Nicholas Hugh 1 Bortz, Simon 1 Boscain, Ugo 1 Boussaid, Nabile 1 Boyko, Olga 1 Brown, B. Malcolm 1 Brown, Russell Murray 1 Brunnhuber, Rainer 1 Budyika, Viktoriya S. 1 Campbell, Kevin 1 Chen, Xian 1 Chitorkin, Egor E. 1 Cho, Minsung 1 Choi, Jongkeun 1 Chulaevsky, Victor 1 Clark, Stephen L. 1 Comech, Andrew 1 Daners, Daniel 1 Daudé, Thierry 1 Derkach, Volodymyr Oleksandrovych 1 Dietlein, Adrian 1 Djellouli, Rabia 1 Dolai, Dhriti Ranjan 1 Egert, Moritz 1 Elgart, Alexander 1 Evans, William Desmond 1 Fang, Licheng 1 Frank, Rupert L. 1 Fürst, Oliver 1 García-Ardila, Juan Carlos 1 Gebert, Martin 1 Gestesy, Fritz 1 Glück, Jochen 1 Goriunov, Andrii 1 Grosse, Harald 1 Grudsky, Sergei Mikhailovich ...and 107 more Authors all top 5 Cited in 72 Serials 14 Journal of Differential Equations 9 Journal of Spectral Theory 7 Mathematical Notes 6 Reviews in Mathematical Physics 6 Journal of Functional Analysis 5 Journal of Mathematical Analysis and Applications 5 Journal of Mathematical Physics 4 Integral Equations and Operator Theory 4 Mathematische Nachrichten 4 Quaestiones Mathematicae 4 Complex Analysis and Operator Theory 3 Communications in Mathematical Physics 3 Ukrainian Mathematical Journal 3 Advances in Mathematics 3 Monatshefte für Mathematik 3 Annales Henri Poincaré 3 Operators and Matrices 3 Analysis and Mathematical Physics 2 Applicable Analysis 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Journal of Mathematical Sciences (New York) 2 Turkish Journal of Mathematics 2 Opuscula Mathematica 2 Differential Equations 2 Discrete and Continuous Dynamical Systems. Series S 1 Linear and Multilinear Algebra 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Acta Scientiarum Mathematicarum 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Annales Polonici Mathematici 1 Applied Mathematics and Computation 1 Canadian Journal of Mathematics 1 Journal of Approximation Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematika 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Siberian Mathematical Journal 1 Transactions of the Moscow Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Journal of Dynamics and Differential Equations 1 Russian Mathematics 1 Potential Analysis 1 The New York Journal of Mathematics 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis 1 Computational Methods and Function Theory 1 Boundary Value Problems 1 Inverse Problems in Science and Engineering 1 Mathematical Modelling of Natural Phenomena 1 Analysis & PDE 1 Probability Surveys 1 Annals of Functional Analysis 1 Symmetry 1 Journal of Applied Analysis and Computation 1 Annales Mathématiques du Québec 1 Concrete Operators 1 Research in the Mathematical Sciences all top 5 Cited in 28 Fields 83 Ordinary differential equations (34-XX) 80 Operator theory (47-XX) 44 Partial differential equations (35-XX) 31 Quantum theory (81-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Functional analysis (46-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Difference and functional equations (39-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Optics, electromagnetic theory (78-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Systems theory; control (93-XX) 1 \(K\)-theory (19-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year