Edit Profile (opens in new tab) Jefferies, Brian R. F. Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 51 Publications have been cited 270 times in 132 Documents Cited by ▼ Year ▼ Spectral properties of noncommuting operators. Zbl 1056.47002Jefferies, Brian 36 2004 The Weyl calculus and Clifford analysis. Zbl 0915.47015Jefferies, Brian; McIntosh, Alan 17 1998 Feynman’s operational calculus for families of noncommuting operators: tensor products, ordered supports, and the disentangling of an exponential factor. Zbl 1030.47008Jefferies, B.; Johnson, G. W. 17 2001 Feynman’s operational calculi for noncommuting operators: definitions and elementary properties. Zbl 1186.81082Jefferies, B.; Johnson, G. W. 17 2001 Feynman’s operational calculi for time dependent noncommuting operators. Zbl 0984.47013Jefferies, Brian; Johnson, G. W.; Nielsen, Lance 16 2001 The monogenic functional calculus. Zbl 0971.47013Jefferies, Brian; McIntosh, Alan; Picton-Warlow, James 16 1999 Feynman’s operational calculi for noncommuting operators: spectral theory. Zbl 1096.47502Jefferies, B.; Johnson, G. W. 15 2002 Feynman’s operational calculi for noncommuting operators: The monogenic calculus. Zbl 1096.47501Jefferies, B.; Johnson, G. W. 10 2001 Weakly integrable semigroups on locally convex spaces. Zbl 0589.47043Jefferies, Brian 10 1986 Bilinear integration in tensor products. Zbl 0936.46035Jefferies, Brian; Okada, Susumu 9 1998 Integration with respect to closable set functions. Zbl 0589.46034Jefferies, Brian 7 1986 Evolution processes and the Feynman-Kac formula. Zbl 0844.60027Jefferies, Brian 7 1996 The Weyl calculus for hermitian matrices. Zbl 0848.47014Jefferies, Brian 6 1996 Radon polymeasures. Zbl 0577.28002Jefferies, Brian 5 1985 Feynman’s operational calculi: Methods for iterative disentangling. Zbl 1156.81403Jefferies, B.; Johnson, G. W.; Kim, B. S. 5 2006 The generation of weakly integrable semigroups. Zbl 0621.47037Jefferies, Brian 4 1987 Vector-valued multipliers: Convolution with operator-valued measures. Zbl 0966.46023Gaudry, G. I.; Jefferies, B. R. F.; Ricker, W. J. 4 2000 Commutativity for systems of \((2\times 2)\) selfadjoint matrices. Zbl 0796.15015Jefferies, B. R. F.; Ricker, W. J. 4 1993 Integration with respect to vector valued Radon polymeasures. Zbl 0796.28009Jefferies, Brian; Ricker, Werner J. 4 1994 An application of bilinear integration to quantum scattering. Zbl 1308.81167García-Raffi, L. M.; Jefferies, B. 4 2014 Some recent applications of bilinear integration. Zbl 1248.28015Jefferies, Brian 4 2010 Integro-differential equations for the self-organisation of liver zones by competitive exclusion of cell-types. Zbl 0628.92015Bass, L.; Bracken, A. J.; Holmåker, K.; Jefferies, B. R. F. 3 1987 Differential properties of the numerical range map of pairs of matrices. Zbl 0885.15017Hillman, J. A.; Jefferies, B. R. F.; Ricker, W. J.; Straub, B. 3 1997 An indecomposable Daniell integral. Zbl 0634.28006Jefferies, B. R. F.; Fremlin, D. H. 3 1987 Exponential bounds for noncommuting systems of matrices. Zbl 0985.47014Jefferies, Brian 3 2001 Feynman’s operational calculi: spectral theory for noncommuting self-adjoint operators. Zbl 1180.47013Jefferies, Brian; Johnson, Gerald W.; Nielsen, Lance 3 2007 On the additivity of unbounded set functions. Zbl 0738.28007Jefferies, Brian 3 1992 Lacunas in the support of the Weyl calculus for two Hermitian matrices. Zbl 1059.47016Jefferies, Brian; Straub, Bernd 3 2003 The CLR inequality for dominated semigroups. Zbl 1359.47040Jefferies, Brian 3 2014 Semigroups and diffusion processes. Zbl 0626.60072Jefferies, Brian 2 1987 A process associated with the radially symmetric Dirac equation. Zbl 0804.47042Jefferies, Brian 2 1994 An operator bound related to Feynman-Kac formulae. Zbl 0817.47012Jefferies, Brian 2 1994 Characterization of one-dimensional point interactions for the Schrödinger operator by means of boundary conditions. Zbl 0998.81024Brzeźniak, Zdzisław; Jefferies, Brian 2 2001 Bilinear integration with positive vector measures. Zbl 1048.28008Jefferies, Brian; Rothnie, Paul 2 2003 The propagator of the radial Dirac equation. Zbl 1060.81020Ichinose, Takashi; Jefferies, Brian 2 2002 Processes associated with evolution equations. Zbl 0715.47028Jefferies, Brian 2 1990 An operator bound related to regular operators. Zbl 0871.47031Jefferies, Brian; Okada, Susumu 1 1996 The Weyl calculus and a singular integral in \(L^ 1(\mathbb{R})\). Zbl 0820.47054Jefferies, Brian R. F.; Ricker, Werner J. 1 1993 Semicompact functionals. Zbl 0626.28005Jefferies, Brian 1 1987 Collectively measurable sets and abstract Wiener spaces. Zbl 0506.46029Jefferies, Brian 1 1984 Pettis integrals with singular kernels. Zbl 0609.46022Jefferies, Brian 1 1986 Pettis integral operators and resolvents. Zbl 0609.46023Jefferies, Brian 1 1986 Remarks on the Feynman representation. Zbl 0614.47037Jefferies, Brian 1 1985 Conditional expectation for operator-valued measures and functions. Zbl 0568.46034Jefferies, Brian 1 1984 Pettis integrals and singular integral operators. Zbl 0931.47031Jefferies, Brian; Okada, Susumu 1 1994 Traceability of positive integral operators. Zbl 1341.47024Jefferies, Brian 1 2016 The Feynman representation for the Dirac propagator with a radially symmetric potential. Zbl 0858.47024Jefferies, Brian 1 1996 Singular bilinear integrals in quantum physics. Zbl 1330.81093Jefferies, Brian 1 2015 The monogenic functional calculus. Zbl 1334.47019Jefferies, Brian 1 2015 Dominated semigroups of operators and evolution processes. Zbl 1075.47026Jefferies, Brian; Okada, Susumu 1 2004 Advances and applications of the Feynman integral. Zbl 1095.28014Jefferies, Brian 1 2004 Traceability of positive integral operators. Zbl 1341.47024Jefferies, Brian 1 2016 Singular bilinear integrals in quantum physics. Zbl 1330.81093Jefferies, Brian 1 2015 The monogenic functional calculus. Zbl 1334.47019Jefferies, Brian 1 2015 An application of bilinear integration to quantum scattering. Zbl 1308.81167García-Raffi, L. M.; Jefferies, B. 4 2014 The CLR inequality for dominated semigroups. Zbl 1359.47040Jefferies, Brian 3 2014 Some recent applications of bilinear integration. Zbl 1248.28015Jefferies, Brian 4 2010 Feynman’s operational calculi: spectral theory for noncommuting self-adjoint operators. Zbl 1180.47013Jefferies, Brian; Johnson, Gerald W.; Nielsen, Lance 3 2007 Feynman’s operational calculi: Methods for iterative disentangling. Zbl 1156.81403Jefferies, B.; Johnson, G. W.; Kim, B. S. 5 2006 Spectral properties of noncommuting operators. Zbl 1056.47002Jefferies, Brian 36 2004 Dominated semigroups of operators and evolution processes. Zbl 1075.47026Jefferies, Brian; Okada, Susumu 1 2004 Advances and applications of the Feynman integral. Zbl 1095.28014Jefferies, Brian 1 2004 Lacunas in the support of the Weyl calculus for two Hermitian matrices. Zbl 1059.47016Jefferies, Brian; Straub, Bernd 3 2003 Bilinear integration with positive vector measures. Zbl 1048.28008Jefferies, Brian; Rothnie, Paul 2 2003 Feynman’s operational calculi for noncommuting operators: spectral theory. Zbl 1096.47502Jefferies, B.; Johnson, G. W. 15 2002 The propagator of the radial Dirac equation. Zbl 1060.81020Ichinose, Takashi; Jefferies, Brian 2 2002 Feynman’s operational calculus for families of noncommuting operators: tensor products, ordered supports, and the disentangling of an exponential factor. Zbl 1030.47008Jefferies, B.; Johnson, G. W. 17 2001 Feynman’s operational calculi for noncommuting operators: definitions and elementary properties. Zbl 1186.81082Jefferies, B.; Johnson, G. W. 17 2001 Feynman’s operational calculi for time dependent noncommuting operators. Zbl 0984.47013Jefferies, Brian; Johnson, G. W.; Nielsen, Lance 16 2001 Feynman’s operational calculi for noncommuting operators: The monogenic calculus. Zbl 1096.47501Jefferies, B.; Johnson, G. W. 10 2001 Exponential bounds for noncommuting systems of matrices. Zbl 0985.47014Jefferies, Brian 3 2001 Characterization of one-dimensional point interactions for the Schrödinger operator by means of boundary conditions. Zbl 0998.81024Brzeźniak, Zdzisław; Jefferies, Brian 2 2001 Vector-valued multipliers: Convolution with operator-valued measures. Zbl 0966.46023Gaudry, G. I.; Jefferies, B. R. F.; Ricker, W. J. 4 2000 The monogenic functional calculus. Zbl 0971.47013Jefferies, Brian; McIntosh, Alan; Picton-Warlow, James 16 1999 The Weyl calculus and Clifford analysis. Zbl 0915.47015Jefferies, Brian; McIntosh, Alan 17 1998 Bilinear integration in tensor products. Zbl 0936.46035Jefferies, Brian; Okada, Susumu 9 1998 Differential properties of the numerical range map of pairs of matrices. Zbl 0885.15017Hillman, J. A.; Jefferies, B. R. F.; Ricker, W. J.; Straub, B. 3 1997 Evolution processes and the Feynman-Kac formula. Zbl 0844.60027Jefferies, Brian 7 1996 The Weyl calculus for hermitian matrices. Zbl 0848.47014Jefferies, Brian 6 1996 An operator bound related to regular operators. Zbl 0871.47031Jefferies, Brian; Okada, Susumu 1 1996 The Feynman representation for the Dirac propagator with a radially symmetric potential. Zbl 0858.47024Jefferies, Brian 1 1996 Integration with respect to vector valued Radon polymeasures. Zbl 0796.28009Jefferies, Brian; Ricker, Werner J. 4 1994 A process associated with the radially symmetric Dirac equation. Zbl 0804.47042Jefferies, Brian 2 1994 An operator bound related to Feynman-Kac formulae. Zbl 0817.47012Jefferies, Brian 2 1994 Pettis integrals and singular integral operators. Zbl 0931.47031Jefferies, Brian; Okada, Susumu 1 1994 Commutativity for systems of \((2\times 2)\) selfadjoint matrices. Zbl 0796.15015Jefferies, B. R. F.; Ricker, W. J. 4 1993 The Weyl calculus and a singular integral in \(L^ 1(\mathbb{R})\). Zbl 0820.47054Jefferies, Brian R. F.; Ricker, Werner J. 1 1993 On the additivity of unbounded set functions. Zbl 0738.28007Jefferies, Brian 3 1992 Processes associated with evolution equations. Zbl 0715.47028Jefferies, Brian 2 1990 The generation of weakly integrable semigroups. Zbl 0621.47037Jefferies, Brian 4 1987 Integro-differential equations for the self-organisation of liver zones by competitive exclusion of cell-types. Zbl 0628.92015Bass, L.; Bracken, A. J.; Holmåker, K.; Jefferies, B. R. F. 3 1987 An indecomposable Daniell integral. Zbl 0634.28006Jefferies, B. R. F.; Fremlin, D. H. 3 1987 Semigroups and diffusion processes. Zbl 0626.60072Jefferies, Brian 2 1987 Semicompact functionals. Zbl 0626.28005Jefferies, Brian 1 1987 Weakly integrable semigroups on locally convex spaces. Zbl 0589.47043Jefferies, Brian 10 1986 Integration with respect to closable set functions. Zbl 0589.46034Jefferies, Brian 7 1986 Pettis integrals with singular kernels. Zbl 0609.46022Jefferies, Brian 1 1986 Pettis integral operators and resolvents. Zbl 0609.46023Jefferies, Brian 1 1986 Radon polymeasures. Zbl 0577.28002Jefferies, Brian 5 1985 Remarks on the Feynman representation. Zbl 0614.47037Jefferies, Brian 1 1985 Collectively measurable sets and abstract Wiener spaces. Zbl 0506.46029Jefferies, Brian 1 1984 Conditional expectation for operator-valued measures and functions. Zbl 0568.46034Jefferies, Brian 1 1984 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year