## Pearson, David B.

Compute Distance To:
 Author ID: pearson.david-b Published as: Pearson, D. B.; Pearson, David; Pearson, David B. more...less External Links: MGP
 Documents Indexed: 46 Publications since 1965, including 1 Book 1 Contribution as Editor Co-Authors: 16 Co-Authors with 27 Joint Publications 204 Co-Co-Authors
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### Co-Authors

 14 single-authored 7 Amrein, Werner O. 5 Fulton, Charles T. 5 Pruess, Steven A. 3 Breimesser, S. V. 2 Al-Naggar, Ibtesam M. A. 2 Busch, Paul 2 Christodoulides, Yiannis T. 2 Skelton, P. L. I. 2 Vazirani, Vijay V. 1 Brooke, James A. 1 Chalvet, D. 1 Eckmann, Jean-Pierre 1 Elsken, Thomas 1 Gilbert, Daphne J. 1 Gordon, Neil A. 1 Grant, James D. E. 1 Grubb, M. A. 1 Hinz, Andreas M. 1 Lee, Youngjik 1 Pillai, S. Unnikrishna 1 Robinson, Peter Michael 1 Swiniarski, Roman W. 1 Wittrick, W. H.
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### Serials

 5 Journal of Computational and Applied Mathematics 5 Journal of Physics A: Mathematical and General 5 Mathematical Physics, Analysis and Geometry 4 Journal of Mathematical Physics 2 Communications in Mathematical Physics 2 Journal of Functional Analysis 2 Journal of the London Mathematical Society. Second Series 1 Helvetica Physica Acta 1 IEEE Transactions on Information Theory 1 IMA Journal of Numerical Analysis 1 International Journal of Mechanical Sciences 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of Algorithms 1 Operations Research Letters 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Systems Science 1 Discrete and Continuous Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Il Nuovo Cimento, X. Series, A
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### Fields

 22 Operator theory (47-XX) 18 Ordinary differential equations (34-XX) 16 Quantum theory (81-XX) 6 Partial differential equations (35-XX) 4 Numerical analysis (65-XX) 3 Functions of a complex variable (30-XX) 3 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

35 Publications have been cited 412 times in 328 Documents Cited by Year
On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators. Zbl 0666.34023
Gilbert, D. J.; Pearson, D. B.
1987
Singular continuous measures in scattering theory. Zbl 0451.47013
Pearson, D. B.
1978
Quantum scattering and spectral theory. Zbl 0673.47011
Pearson, D. B.
1988
A generalization of the Birman trace theorem. Zbl 0382.47006
Pearson, D. B.
1978
$$M$$ operators: A generalisation of Weyl–Titchmarsh theory. Zbl 1051.35047
Amrein, W. O.; Pearson, D. B.
2004
Commutativity up to a factor of bounded operators in complex Hilbert space. Zbl 1037.81009
Brooke, James A.; Busch, Paul; Pearson, David B.
2002
Hypercontractivity for anharmonic oscillators. Zbl 0285.47032
Eckmann, J.-P.; Pearson, D.
1974
Sturm-Liouville theory. Past and present. Selected survey articles based on lectures presented at a colloquium and workshop in Geneva, Italy, September 15–19, 2003 to commemorate the 200th anniversary of the birth of Charles François Sturm. Zbl 1064.34001
2005
Asymptotic value distribution for solutions of the Schrödinger equation. Zbl 1016.47033
Breimesser, S. V.; Pearson, D. B.
2000
A time-dependent approach to the total scattering cross section. Zbl 0415.47006
Amrein, W. O.; Pearson, D. B.
1979
Value distribution and spectral analysis of differential operators. Zbl 0795.34071
Pearson, D. B.
1993
Geometrical aspects of spectral theory and value distribution for Herglotz functions. Zbl 1027.47038
Breimesser, S. V.; Pearson, D. B.
2003
Computing the spectral function for singular Sturm–Liouville problems. Zbl 1064.65075
Fulton, Charles; Pearson, David; Pruess, Steven
2005
A polynomial-time algorithm for the change-making problem. Zbl 1177.90350
Pearson, David
2005
Universal joint-measurement uncertainty relation for error bars. Zbl 1152.81357
Busch, P.; Pearson, D. B.
2007
Derivation of the wave and scattering operators for an interaction of rank one. Zbl 0196.28103
Grubb, M. A.; Pearson, D. B.
1970
Value distribution and spectral theory. Zbl 0809.34037
Pearson, D. B.
1994
Conditions for the existence of the generalized wave operators. Zbl 0255.47016
Pearson, D. B.
1972
Flux and scattering into cones for long range and singular potentials. Zbl 0928.35139
Amrein, W. O.; Pearson, D. B.
1997
New characterizations of spectral density functions for singular Sturm-Liouville problems. Zbl 1153.65079
Fulton, Charles; Pearson, David; Pruess, Steven
2008
Efficient sequential and parallel algorithms for maximal bipartite sets. Zbl 0764.68130
Pearson, David; Vazirani, Vijay V.
1993
Commutators of Hilbert-Schmidt type and the scattering cross section. Zbl 0415.47005
Amrein, W. O.; Pearson, D. B.
1979
An exact solution for the vibration of helical springs using a Bernoulli- Euler model. Zbl 0579.73060
Pearson, D.; Wittrick, W. H.
1986
Quadratic forms and solutions of the Schrödinger equation. Zbl 0904.34066
Al-Naggar, I.; Pearson, D. B.
1996
Point transfer matrices for the Schrödinger equation: The algebraic theory. Zbl 0943.34072
Gordon, N. A.; Pearson, D. B.
1999
Approximate monotonicity: Theory and applications. Zbl 0865.26006
Elsken, T.; Pearson, D. B.; Robinson, P. M.
1996
Sturm-Liouville theory, asymptotics, and the Schrödinger equation. Zbl 0885.34026
Pearson, D. B.
1997
Generalized value distribution for Herglotz functions and spectral theory. Zbl 1072.47040
Christodoulides, Y. T.; Pearson, D. B.
2004
Efficient calculation of spectral density functions for specific classes of singular Sturm-Liouville problems. Zbl 1163.65056
Fulton, Charles; Pearson, David; Pruess, Steven
2008
Singular integral operator encountered in scattering theory. Zbl 0206.44703
Pearson, D. B.
1970
Estimating spectral density functions for Sturm-Liouville problems with two singular endpoints. Zbl 1300.65056
Fulton, Charles; Pearson, David; Pruess, Steven
2014
Stability criteria for the Weyl $$m$$-function. Zbl 0919.34075
Amrein, W. O.; Pearson, D. B.
1998
Feature selection using rough sets and hidden layer expansion for rupture prediction in a highly automated production process. Zbl 0894.90075
Swiniarski, R.; Hunt, F.; Chalvet, D.; Pearson, D.
1997
The scattering matrix for rapidly oscillating potentials. Zbl 0426.47005
Amrein, W. O.; Pearson, D. B.
1980
The inverse method for transfer matrices. Zbl 0652.35105
Pearson, D. B.; Skelton, P. L. I.
1990
Estimating spectral density functions for Sturm-Liouville problems with two singular endpoints. Zbl 1300.65056
Fulton, Charles; Pearson, David; Pruess, Steven
2014
New characterizations of spectral density functions for singular Sturm-Liouville problems. Zbl 1153.65079
Fulton, Charles; Pearson, David; Pruess, Steven
2008
Efficient calculation of spectral density functions for specific classes of singular Sturm-Liouville problems. Zbl 1163.65056
Fulton, Charles; Pearson, David; Pruess, Steven
2008
Universal joint-measurement uncertainty relation for error bars. Zbl 1152.81357
Busch, P.; Pearson, D. B.
2007
Sturm-Liouville theory. Past and present. Selected survey articles based on lectures presented at a colloquium and workshop in Geneva, Italy, September 15–19, 2003 to commemorate the 200th anniversary of the birth of Charles François Sturm. Zbl 1064.34001
2005
Computing the spectral function for singular Sturm–Liouville problems. Zbl 1064.65075
Fulton, Charles; Pearson, David; Pruess, Steven
2005
A polynomial-time algorithm for the change-making problem. Zbl 1177.90350
Pearson, David
2005
$$M$$ operators: A generalisation of Weyl–Titchmarsh theory. Zbl 1051.35047
Amrein, W. O.; Pearson, D. B.
2004
Generalized value distribution for Herglotz functions and spectral theory. Zbl 1072.47040
Christodoulides, Y. T.; Pearson, D. B.
2004
Geometrical aspects of spectral theory and value distribution for Herglotz functions. Zbl 1027.47038
Breimesser, S. V.; Pearson, D. B.
2003
Commutativity up to a factor of bounded operators in complex Hilbert space. Zbl 1037.81009
Brooke, James A.; Busch, Paul; Pearson, David B.
2002
Asymptotic value distribution for solutions of the Schrödinger equation. Zbl 1016.47033
Breimesser, S. V.; Pearson, D. B.
2000
Point transfer matrices for the Schrödinger equation: The algebraic theory. Zbl 0943.34072
Gordon, N. A.; Pearson, D. B.
1999
Stability criteria for the Weyl $$m$$-function. Zbl 0919.34075
Amrein, W. O.; Pearson, D. B.
1998
Flux and scattering into cones for long range and singular potentials. Zbl 0928.35139
Amrein, W. O.; Pearson, D. B.
1997
Sturm-Liouville theory, asymptotics, and the Schrödinger equation. Zbl 0885.34026
Pearson, D. B.
1997
Feature selection using rough sets and hidden layer expansion for rupture prediction in a highly automated production process. Zbl 0894.90075
Swiniarski, R.; Hunt, F.; Chalvet, D.; Pearson, D.
1997
Quadratic forms and solutions of the Schrödinger equation. Zbl 0904.34066
Al-Naggar, I.; Pearson, D. B.
1996
Approximate monotonicity: Theory and applications. Zbl 0865.26006
Elsken, T.; Pearson, D. B.; Robinson, P. M.
1996
Value distribution and spectral theory. Zbl 0809.34037
Pearson, D. B.
1994
Value distribution and spectral analysis of differential operators. Zbl 0795.34071
Pearson, D. B.
1993
Efficient sequential and parallel algorithms for maximal bipartite sets. Zbl 0764.68130
Pearson, David; Vazirani, Vijay V.
1993
The inverse method for transfer matrices. Zbl 0652.35105
Pearson, D. B.; Skelton, P. L. I.
1990
Quantum scattering and spectral theory. Zbl 0673.47011
Pearson, D. B.
1988
On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators. Zbl 0666.34023
Gilbert, D. J.; Pearson, D. B.
1987
An exact solution for the vibration of helical springs using a Bernoulli- Euler model. Zbl 0579.73060
Pearson, D.; Wittrick, W. H.
1986
The scattering matrix for rapidly oscillating potentials. Zbl 0426.47005
Amrein, W. O.; Pearson, D. B.
1980
A time-dependent approach to the total scattering cross section. Zbl 0415.47006
Amrein, W. O.; Pearson, D. B.
1979
Commutators of Hilbert-Schmidt type and the scattering cross section. Zbl 0415.47005
Amrein, W. O.; Pearson, D. B.
1979
Singular continuous measures in scattering theory. Zbl 0451.47013
Pearson, D. B.
1978
A generalization of the Birman trace theorem. Zbl 0382.47006
Pearson, D. B.
1978
Hypercontractivity for anharmonic oscillators. Zbl 0285.47032
Eckmann, J.-P.; Pearson, D.
1974
Conditions for the existence of the generalized wave operators. Zbl 0255.47016
Pearson, D. B.
1972
Derivation of the wave and scattering operators for an interaction of rank one. Zbl 0196.28103
Grubb, M. A.; Pearson, D. B.
1970
Singular integral operator encountered in scattering theory. Zbl 0206.44703
Pearson, D. B.
1970
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### Cited by 317 Authors

 21 Simon, Barry 17 Gesztesy, Fritz 16 Pearson, David B. 12 Behrndt, Jussi 12 Damanik, David 12 Naboko, Serguei N. 10 Breuer, Jonathan 9 Qi, Xiaofei 8 Kiselev, Alexander A. 8 Last, Yoram 8 Zinchenko, Maxim 7 del Río Castillo, Rafael René 7 Yafaev, Dimitri R. 6 Davies, Edward Brian 6 de Oliveira, César R. 6 Gilbert, Daphne J. 6 Remling, Christian 5 Carvalho, Silas L. 5 Eastham, Michael S. P. 5 Hou, Jinchuan 5 Mitrea, Marius 5 Simonov, Sergey A. 5 Tcheremchantsev, Serguei 4 Bachelot, Alain 4 Behncke, Horst 4 Fulton, Charles T. 4 Grubb, Gerd 4 Harris, Bernard J. 4 Jitomirskaya, Svetlana Yakovlevna 4 Lukic, Milivoje 4 Pozharskiĭ, A. A. 4 Silva, Luis O. 4 Solomyak, Mikhaĭl Zakharovich 4 Stolz, Gunter 4 Wood, Ian Geoffrey 4 Wreszinski, Walter F. 3 Avron, Joseph E. 3 Brown, B. Malcolm 3 Busch, Paul 3 Denisov, Sergey A. 3 Dürr, Detlef 3 Langer, Matthias 3 Lotoreichik, Vladimir 3 Malamud, Mark M. 3 Marchetti, Domingos H. U. 3 Neidhardt, Hagen 3 Pillet, Claude-Alain 3 Pruess, Steven A. 3 Rohleder, Jonathan 3 Safronov, Oleg 3 Sobolev, Alexander V. 3 Tchebotareva, Olga 3 Teschl, Gerald 3 Tiedra de Aldecoa, Rafael 3 Yuditskii, Peter Meerovich 2 Acharya, Keshav Raj 2 Albeverio, Sergio A. 2 Amrein, Werner O. 2 Baş, Erdal 2 Bazao, Vanderléa R. 2 Benharrat, Mohammed 2 Bessonov, Roman V. 2 Brasche, Johannes Friedemann 2 Bruneau, Laurent 2 Cherednichenko, Kirill D. 2 Christodoulides, Yiannis T. 2 Clark, Stephen L. 2 Colbrook, Matthew J. 2 Combes, Jean-Michel 2 Cortés, Víctor H. 2 Currie, Sonja 2 Duits, Maurice 2 Jakšić, Vojkan 2 Judge, Edmund 2 Kapustin, Vladimir V. 2 Killip, Rowan 2 Kiselev, Alexander V. 2 Kuzma, Bojan 2 Laptev, Ari 2 Martinez, Carmen A. 2 Miyadera, Takayuki 2 Molchanov, Stanislav Alekseevich 2 Mortad, Mohammed Hichem 2 Moser, Tilo 2 Nichols, Roger 2 Nowaczyk, Marlena 2 Ong, Darren C. 2 Qi, Jiangang 2 Richard, Serge 2 Romanov, Roman V. 2 Rozenblum, Grigori V. 2 Rybkin, Alexei 2 Ryckman, Eric 2 Ryzhov, Vladimir Anatol’evich 2 Sütő, András 2 Watson, Bruce Alastair 2 Weder, Ricardo A. 2 Weikard, Rudi 2 Werner, Reinhard F. 2 Winfield, Christopher J. ...and 217 more Authors
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### Cited in 101 Serials

 31 Journal of Functional Analysis 29 Communications in Mathematical Physics 22 Journal of Mathematical Physics 17 Journal of Mathematical Analysis and Applications 11 Journal of Differential Equations 10 Letters in Mathematical Physics 10 Integral Equations and Operator Theory 9 Journal of Computational and Applied Mathematics 8 Advances in Mathematics 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Journal d’Analyse Mathématique 6 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 5 Annales de l’Institut Henri Poincaré. Physique Théorique 4 Journal of Statistical Physics 4 Linear and Multilinear Algebra 4 Duke Mathematical Journal 4 St. Petersburg Mathematical Journal 3 Reports on Mathematical Physics 3 Theoretical and Mathematical Physics 3 Arkiv för Matematik 3 Reviews in Mathematical Physics 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 3 Functional Analysis and its Applications 3 Journal of Approximation Theory 3 Journal of the American Mathematical Society 3 Linear Algebra and its Applications 3 Journal of Mathematical Sciences (New York) 3 Mathematical Physics, Analysis and Geometry 3 Annales Henri Poincaré 3 Advances in Difference Equations 2 Applicable Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Physics Letters. A 2 Chaos, Solitons and Fractals 2 Acta Mathematica 2 Applied Mathematics and Computation 2 Journal of Soviet Mathematics 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Mathematika 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Zeitschrift für Analysis und ihre Anwendungen 2 Acta Applicandae Mathematicae 2 Communications in Partial Differential Equations 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Difference Equations and Applications 2 Physical Review Letters 2 Boundary Value Problems 2 Nonlinear Oscillations 2 Complex Analysis and Operator Theory 2 Journal of Spectral Theory 2 Bulletin of Mathematical Sciences 1 Communications in Algebra 1 Discrete Mathematics 1 International Journal of Theoretical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Constructive Approximation 1 Journal of Scientific Computing 1 Sugaku Expositions 1 Aequationes Mathematicae 1 Annals of Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Russian Journal of Mathematical Physics 1 The Journal of Fourier Analysis and Applications 1 Abstract and Applied Analysis 1 Matematychni Studiï 1 Mathematical Inequalities & Applications 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Differential Equations 1 Journal of the Australian Mathematical Society 1 Journal of Function Spaces and Applications 1 Journal of Hyperbolic Differential Equations 1 Mediterranean Journal of Mathematics 1 Acta Mechanica Sinica 1 Journal of Physics A: Mathematical and Theoretical 1 Networks and Heterogeneous Media 1 Science China. Mathematics 1 TWMS Journal of Pure and Applied Mathematics 1 Analysis and Mathematical Physics 1 International Journal of Applied and Computational Mathematics ...and 1 more Serials
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### Cited in 39 Fields

 178 Operator theory (47-XX) 116 Ordinary differential equations (34-XX) 112 Quantum theory (81-XX) 90 Partial differential equations (35-XX) 23 Difference and functional equations (39-XX) 20 Statistical mechanics, structure of matter (82-XX) 16 Functional analysis (46-XX) 14 Probability theory and stochastic processes (60-XX) 12 Numerical analysis (65-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Associative rings and algebras (16-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Functions of a complex variable (30-XX) 6 Measure and integration (28-XX) 5 Real functions (26-XX) 5 Relativity and gravitational theory (83-XX) 4 Combinatorics (05-XX) 4 Approximations and expansions (41-XX) 4 Integral transforms, operational calculus (44-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 Topological groups, Lie groups (22-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX)