## Jefferies, Brian R. F.

Compute Distance To:
 Author ID: jefferies.brian-r-f Published as: Jefferies, Brian; Jefferies, B.; Jefferies, B. R. F.; Jefferies, Brian R. F. Further Spellings: Jefferies, Brian Raymond Frederick External Links: MGP · ResearchGate · IdRef
 Documents Indexed: 90 Publications since 1984, including 3 Books 4 Contributions as Editor Reviewing Activity: 1 Review Co-Authors: 22 Co-Authors with 38 Joint Publications 462 Co-Co-Authors
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### Co-Authors

 55 single-authored 8 Johnson, Gerald William 8 Ricker, Werner Joseph 7 Okada, Susumu 5 McIntosh, Alan 2 Brzeźniak, Zdzisław 2 Doust, Ian 2 Nielsen, Lance 2 Piskarëv, S. I. 2 Straub, Bernd-Michael 1 Bass, Ludvik 1 Bracken, Anthony J. 1 Fremlin, David H. 1 García-Raffi, Luis M. 1 Gaudry, Garth Ian 1 Hillman, Jonathan Arthur 1 Holmåker, Kjell 1 Ichinose, Takashi 1 Kim, Byoung Soo 1 Li, Chun 1 Picton-Warlow, James 1 Rodríguez-Piazza, Luis 1 Rothnie, Paul
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### Serials

 5 Bulletin of the Australian Mathematical Society 5 Journal of Functional Analysis 4 Integral Equations and Operator Theory 3 Studia Mathematica 3 Journal of the Korean Mathematical Society 3 Proceedings of the American Mathematical Society 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Proceedings of the Centre for Mathematical Analysis, Australian National University 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Illinois Journal of Mathematics 2 Nagoya Mathematical Journal 2 Acta Applicandae Mathematicae 2 Journal of the Australian Mathematical Society. Series A 2 Advances in Applied Clifford Algebras 2 Mathematical Physics, Analysis and Geometry 2 Journal of the Australian Mathematical Society 1 Journal d’Analyse Mathématique 1 Journal of the Australian Mathematical Society, Series B 1 Mathematical Notes 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Archiv der Mathematik 1 Commentationes Mathematicae Universitatis Carolinae 1 Dissertationes Mathematicae 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Quaestiones Mathematicae 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 Russian Journal of Mathematical Physics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of the Indonesian Mathematical Society 1 Lecture Notes in Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Integration: Mathematical Theory and Applications 1 Complex Analysis and Operator Theory 1 Mathematics 1 Journal of Operators 1 Proceedings of the Centre for Mathematics and its Applications, Australian National University
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### Fields

 65 Operator theory (47-XX) 47 Functional analysis (46-XX) 35 Measure and integration (28-XX) 21 Quantum theory (81-XX) 18 Probability theory and stochastic processes (60-XX) 13 Functions of a complex variable (30-XX) 10 Partial differential equations (35-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Integral equations (45-XX) 4 General and overarching topics; collections (00-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Ordinary differential equations (34-XX) 2 Abstract harmonic analysis (43-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

51 Publications have been cited 270 times in 132 Documents Cited by Year
Spectral properties of noncommuting operators. Zbl 1056.47002
Jefferies, Brian
2004
The Weyl calculus and Clifford analysis. Zbl 0915.47015
Jefferies, Brian; McIntosh, Alan
1998
Feynman’s operational calculus for families of noncommuting operators: tensor products, ordered supports, and the disentangling of an exponential factor. Zbl 1030.47008
Jefferies, B.; Johnson, G. W.
2001
Feynman’s operational calculi for noncommuting operators: definitions and elementary properties. Zbl 1186.81082
Jefferies, B.; Johnson, G. W.
2001
Feynman’s operational calculi for time dependent noncommuting operators. Zbl 0984.47013
Jefferies, Brian; Johnson, G. W.; Nielsen, Lance
2001
The monogenic functional calculus. Zbl 0971.47013
Jefferies, Brian; McIntosh, Alan; Picton-Warlow, James
1999
Feynman’s operational calculi for noncommuting operators: spectral theory. Zbl 1096.47502
Jefferies, B.; Johnson, G. W.
2002
Feynman’s operational calculi for noncommuting operators: The monogenic calculus. Zbl 1096.47501
Jefferies, B.; Johnson, G. W.
2001
Weakly integrable semigroups on locally convex spaces. Zbl 0589.47043
Jefferies, Brian
1986
Bilinear integration in tensor products. Zbl 0936.46035
1998
Integration with respect to closable set functions. Zbl 0589.46034
Jefferies, Brian
1986
Evolution processes and the Feynman-Kac formula. Zbl 0844.60027
Jefferies, Brian
1996
The Weyl calculus for hermitian matrices. Zbl 0848.47014
Jefferies, Brian
1996
Jefferies, Brian
1985
Feynman’s operational calculi: Methods for iterative disentangling. Zbl 1156.81403
Jefferies, B.; Johnson, G. W.; Kim, B. S.
2006
The generation of weakly integrable semigroups. Zbl 0621.47037
Jefferies, Brian
1987
Vector-valued multipliers: Convolution with operator-valued measures. Zbl 0966.46023
Gaudry, G. I.; Jefferies, B. R. F.; Ricker, W. J.
2000
Commutativity for systems of $$(2\times 2)$$ selfadjoint matrices. Zbl 0796.15015
Jefferies, B. R. F.; Ricker, W. J.
1993
Integration with respect to vector valued Radon polymeasures. Zbl 0796.28009
Jefferies, Brian; Ricker, Werner J.
1994
An application of bilinear integration to quantum scattering. Zbl 1308.81167
García-Raffi, L. M.; Jefferies, B.
2014
Some recent applications of bilinear integration. Zbl 1248.28015
Jefferies, Brian
2010
Integro-differential equations for the self-organisation of liver zones by competitive exclusion of cell-types. Zbl 0628.92015
Bass, L.; Bracken, A. J.; Holmåker, K.; Jefferies, B. R. F.
1987
Differential properties of the numerical range map of pairs of matrices. Zbl 0885.15017
Hillman, J. A.; Jefferies, B. R. F.; Ricker, W. J.; Straub, B.
1997
An indecomposable Daniell integral. Zbl 0634.28006
Jefferies, B. R. F.; Fremlin, D. H.
1987
Exponential bounds for noncommuting systems of matrices. Zbl 0985.47014
Jefferies, Brian
2001
Feynman’s operational calculi: spectral theory for noncommuting self-adjoint operators. Zbl 1180.47013
Jefferies, Brian; Johnson, Gerald W.; Nielsen, Lance
2007
On the additivity of unbounded set functions. Zbl 0738.28007
Jefferies, Brian
1992
Lacunas in the support of the Weyl calculus for two Hermitian matrices. Zbl 1059.47016
Jefferies, Brian; Straub, Bernd
2003
The CLR inequality for dominated semigroups. Zbl 1359.47040
Jefferies, Brian
2014
Semigroups and diffusion processes. Zbl 0626.60072
Jefferies, Brian
1987
A process associated with the radially symmetric Dirac equation. Zbl 0804.47042
Jefferies, Brian
1994
An operator bound related to Feynman-Kac formulae. Zbl 0817.47012
Jefferies, Brian
1994
Characterization of one-dimensional point interactions for the Schrödinger operator by means of boundary conditions. Zbl 0998.81024
Brzeźniak, Zdzisław; Jefferies, Brian
2001
Bilinear integration with positive vector measures. Zbl 1048.28008
Jefferies, Brian; Rothnie, Paul
2003
The propagator of the radial Dirac equation. Zbl 1060.81020
Ichinose, Takashi; Jefferies, Brian
2002
Processes associated with evolution equations. Zbl 0715.47028
Jefferies, Brian
1990
An operator bound related to regular operators. Zbl 0871.47031
1996
The Weyl calculus and a singular integral in $$L^ 1(\mathbb{R})$$. Zbl 0820.47054
Jefferies, Brian R. F.; Ricker, Werner J.
1993
Semicompact functionals. Zbl 0626.28005
Jefferies, Brian
1987
Collectively measurable sets and abstract Wiener spaces. Zbl 0506.46029
Jefferies, Brian
1984
Pettis integrals with singular kernels. Zbl 0609.46022
Jefferies, Brian
1986
Pettis integral operators and resolvents. Zbl 0609.46023
Jefferies, Brian
1986
Remarks on the Feynman representation. Zbl 0614.47037
Jefferies, Brian
1985
Conditional expectation for operator-valued measures and functions. Zbl 0568.46034
Jefferies, Brian
1984
Pettis integrals and singular integral operators. Zbl 0931.47031
1994
Traceability of positive integral operators. Zbl 1341.47024
Jefferies, Brian
2016
The Feynman representation for the Dirac propagator with a radially symmetric potential. Zbl 0858.47024
Jefferies, Brian
1996
Singular bilinear integrals in quantum physics. Zbl 1330.81093
Jefferies, Brian
2015
The monogenic functional calculus. Zbl 1334.47019
Jefferies, Brian
2015
Dominated semigroups of operators and evolution processes. Zbl 1075.47026
2004
Advances and applications of the Feynman integral. Zbl 1095.28014
Jefferies, Brian
2004
Traceability of positive integral operators. Zbl 1341.47024
Jefferies, Brian
2016
Singular bilinear integrals in quantum physics. Zbl 1330.81093
Jefferies, Brian
2015
The monogenic functional calculus. Zbl 1334.47019
Jefferies, Brian
2015
An application of bilinear integration to quantum scattering. Zbl 1308.81167
García-Raffi, L. M.; Jefferies, B.
2014
The CLR inequality for dominated semigroups. Zbl 1359.47040
Jefferies, Brian
2014
Some recent applications of bilinear integration. Zbl 1248.28015
Jefferies, Brian
2010
Feynman’s operational calculi: spectral theory for noncommuting self-adjoint operators. Zbl 1180.47013
Jefferies, Brian; Johnson, Gerald W.; Nielsen, Lance
2007
Feynman’s operational calculi: Methods for iterative disentangling. Zbl 1156.81403
Jefferies, B.; Johnson, G. W.; Kim, B. S.
2006
Spectral properties of noncommuting operators. Zbl 1056.47002
Jefferies, Brian
2004
Dominated semigroups of operators and evolution processes. Zbl 1075.47026
2004
Advances and applications of the Feynman integral. Zbl 1095.28014
Jefferies, Brian
2004
Lacunas in the support of the Weyl calculus for two Hermitian matrices. Zbl 1059.47016
Jefferies, Brian; Straub, Bernd
2003
Bilinear integration with positive vector measures. Zbl 1048.28008
Jefferies, Brian; Rothnie, Paul
2003
Feynman’s operational calculi for noncommuting operators: spectral theory. Zbl 1096.47502
Jefferies, B.; Johnson, G. W.
2002
The propagator of the radial Dirac equation. Zbl 1060.81020
Ichinose, Takashi; Jefferies, Brian
2002
Feynman’s operational calculus for families of noncommuting operators: tensor products, ordered supports, and the disentangling of an exponential factor. Zbl 1030.47008
Jefferies, B.; Johnson, G. W.
2001
Feynman’s operational calculi for noncommuting operators: definitions and elementary properties. Zbl 1186.81082
Jefferies, B.; Johnson, G. W.
2001
Feynman’s operational calculi for time dependent noncommuting operators. Zbl 0984.47013
Jefferies, Brian; Johnson, G. W.; Nielsen, Lance
2001
Feynman’s operational calculi for noncommuting operators: The monogenic calculus. Zbl 1096.47501
Jefferies, B.; Johnson, G. W.
2001
Exponential bounds for noncommuting systems of matrices. Zbl 0985.47014
Jefferies, Brian
2001
Characterization of one-dimensional point interactions for the Schrödinger operator by means of boundary conditions. Zbl 0998.81024
Brzeźniak, Zdzisław; Jefferies, Brian
2001
Vector-valued multipliers: Convolution with operator-valued measures. Zbl 0966.46023
Gaudry, G. I.; Jefferies, B. R. F.; Ricker, W. J.
2000
The monogenic functional calculus. Zbl 0971.47013
Jefferies, Brian; McIntosh, Alan; Picton-Warlow, James
1999
The Weyl calculus and Clifford analysis. Zbl 0915.47015
Jefferies, Brian; McIntosh, Alan
1998
Bilinear integration in tensor products. Zbl 0936.46035
1998
Differential properties of the numerical range map of pairs of matrices. Zbl 0885.15017
Hillman, J. A.; Jefferies, B. R. F.; Ricker, W. J.; Straub, B.
1997
Evolution processes and the Feynman-Kac formula. Zbl 0844.60027
Jefferies, Brian
1996
The Weyl calculus for hermitian matrices. Zbl 0848.47014
Jefferies, Brian
1996
An operator bound related to regular operators. Zbl 0871.47031
1996
The Feynman representation for the Dirac propagator with a radially symmetric potential. Zbl 0858.47024
Jefferies, Brian
1996
Integration with respect to vector valued Radon polymeasures. Zbl 0796.28009
Jefferies, Brian; Ricker, Werner J.
1994
A process associated with the radially symmetric Dirac equation. Zbl 0804.47042
Jefferies, Brian
1994
An operator bound related to Feynman-Kac formulae. Zbl 0817.47012
Jefferies, Brian
1994
Pettis integrals and singular integral operators. Zbl 0931.47031
1994
Commutativity for systems of $$(2\times 2)$$ selfadjoint matrices. Zbl 0796.15015
Jefferies, B. R. F.; Ricker, W. J.
1993
The Weyl calculus and a singular integral in $$L^ 1(\mathbb{R})$$. Zbl 0820.47054
Jefferies, Brian R. F.; Ricker, Werner J.
1993
On the additivity of unbounded set functions. Zbl 0738.28007
Jefferies, Brian
1992
Processes associated with evolution equations. Zbl 0715.47028
Jefferies, Brian
1990
The generation of weakly integrable semigroups. Zbl 0621.47037
Jefferies, Brian
1987
Integro-differential equations for the self-organisation of liver zones by competitive exclusion of cell-types. Zbl 0628.92015
Bass, L.; Bracken, A. J.; Holmåker, K.; Jefferies, B. R. F.
1987
An indecomposable Daniell integral. Zbl 0634.28006
Jefferies, B. R. F.; Fremlin, D. H.
1987
Semigroups and diffusion processes. Zbl 0626.60072
Jefferies, Brian
1987
Semicompact functionals. Zbl 0626.28005
Jefferies, Brian
1987
Weakly integrable semigroups on locally convex spaces. Zbl 0589.47043
Jefferies, Brian
1986
Integration with respect to closable set functions. Zbl 0589.46034
Jefferies, Brian
1986
Pettis integrals with singular kernels. Zbl 0609.46022
Jefferies, Brian
1986
Pettis integral operators and resolvents. Zbl 0609.46023
Jefferies, Brian
1986
Jefferies, Brian
1985
Remarks on the Feynman representation. Zbl 0614.47037
Jefferies, Brian
1985
Collectively measurable sets and abstract Wiener spaces. Zbl 0506.46029
Jefferies, Brian
1984
Conditional expectation for operator-valued measures and functions. Zbl 0568.46034
Jefferies, Brian
1984
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### Cited by 120 Authors

 38 Jefferies, Brian R. F. 21 Colombo, Fabrizio 17 Sabadini, Irene 11 Nielsen, Lance 6 Ricker, Werner Joseph 5 Johnson, Gerald William 4 Kim, Byoung Soo 4 Struppa, Daniele Carlo 4 Yang, Rongwei 3 Alpay, Daniel Aron 3 Kimsey, David Patrick 3 Pinton, Stefano 3 Qian, Tao 2 Blasco, Oscar 2 Boulabiar, Karim Mohamed 2 Calabuig, José Manuel 2 Dobrakov, Ivan 2 Gantner, Jonathan 2 Ichinose, Takashi 2 Kumar, Nageswaran Shravan 2 Kumar, Vishvesh 2 Okada, Susumu 2 Sarma, Ritumoni 2 Sorrentino, Alfonso 2 Straub, Bernd-Michael 2 Villanueva, Ignacio 1 Aharonov, Yakir 1 Ahn, Byung Moo 1 Albeverio, Sergio A. 1 Almeida Carvalho, Suélen 1 Arfaoui, Sabrine 1 Ball, Richard N. 1 Basu, Santwana 1 Baur, Franziska 1 Behrndt, Jussi 1 Ben Mabrouk, Anouar 1 Bjon, Sten 1 Bogachev, Vladimir Igorevich 1 Brzeźniak, Zdzisław 1 Cade, Patrick 1 Cangiotti, N. 1 Cerejeiras, Paula 1 Cerrai, Sandra 1 Chakraborty, N. D. 1 Chang, Kun Soo 1 Chaurasia, Praveen Kumar 1 Chetouani, Lyazid 1 Clément, Philippe J. E. 1 Coine, Clement 1 De Martino, Antonino 1 Dieckmann, O. 1 Dong, Baohua 1 Dooley, Anthony Haynes 1 Douglas, Ronald George 1 Dubin, Daniel A. 1 Ebaid, Abdelhalim 1 Eydenberg, Michael S. 1 Federico, Salvatore 1 Ferreira, José Claudinei 1 Fink, Arlington Michael 1 Fremlin, David H. 1 García-Raffi, Luis M. 1 Gentili, Graziano 1 Gesztesy, Fritz 1 Gill, Tepper L. 1 Goldys, Beniamin 1 Gong, Yafang 1 Gutkin, Eugene 1 Gyllenberg, Mats 1 Hafsi, Hamza 1 Hajji, Rawaa 1 Haouat, Salah 1 Heijmans, Henk J. A. M. 1 Hillman, Jonathan Arthur 1 Jiménez Fernández, Eduardo 1 Jonckheere, Edmond A. 1 Juan, M. A. 1 Kähler, Uwe 1 Kaloshin, Vadim Yu. 1 Karow, Michael 1 Kiukas, Jukka 1 Klempnauer, Stefan 1 Kouche, Mahiéddine 1 Kreĭn, Selim Grigor’evich 1 Kunze, Markus Christian 1 Lakos, Gyula 1 Lapidus, Michel L. 1 Lávička, Roman 1 Le Merdy, Christian 1 Luna-Elizarrarás, María Elena 1 Mazzucchi, Sonia 1 Pang, Michael M. H. 1 Park, Yeonhee 1 Pavone, Christopher M. 1 Pellonpää, Juha-Pekka 1 Piskarëv, S. I. 1 Portal, Pierre 1 Raffoul, Raed W. 1 Rodríguez Ruiz, José 1 Rosestolato, Mauro ...and 20 more Authors
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### Cited in 65 Serials

 8 Journal of Functional Analysis 6 Czechoslovak Mathematical Journal 6 Acta Applicandae Mathematicae 6 Advances in Applied Clifford Algebras 5 Proceedings of the American Mathematical Society 4 Bulletin of the Australian Mathematical Society 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 4 Mathematical Physics, Analysis and Geometry 3 Rocky Mountain Journal of Mathematics 3 Integral Equations and Operator Theory 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Semigroup Forum 3 The Journal of Geometric Analysis 3 Linear Algebra and its Applications 2 Mathematical Methods in the Applied Sciences 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Archiv der Mathematik 2 Journal of Differential Equations 2 Nagoya Mathematical Journal 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series 2 Russian Journal of Mathematical Physics 2 Positivity 2 Journal of the Australian Mathematical Society 2 Complex Analysis and Operator Theory 1 Journal d’Analyse Mathématique 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Studia Mathematica 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Functiones et Approximatio. Commentarii Mathematici 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Zeitschrift für Analysis und ihre Anwendungen 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 The New York Journal of Mathematics 1 Discrete and Continuous Dynamical Systems 1 Honam Mathematical Journal 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Quantitative Finance 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computational Methods and Function Theory 1 Computational & Mathematical Methods in Medicine 1 Journal of Topology and Analysis 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 Annals of Functional Analysis 1 Analysis and Mathematical Physics 1 Mathematics 1 Concrete Operators 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Operators 1 Proceedings of the American Mathematical Society. Series B
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### Cited in 26 Fields

 86 Operator theory (47-XX) 54 Functional analysis (46-XX) 25 Functions of a complex variable (30-XX) 25 Quantum theory (81-XX) 24 Measure and integration (28-XX) 16 Probability theory and stochastic processes (60-XX) 9 Partial differential equations (35-XX) 6 Abstract harmonic analysis (43-XX) 6 Integral transforms, operational calculus (44-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Integral equations (45-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 2 Biology and other natural sciences (92-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)