BRIAN JEFFERIES' PUBLICATIONS PAGE

Below is a list of my publications 1990-?. Some of these have links to DVI versions of the papers, which may be viewed on-screen or downloaded for printing. As of December 2004, only PDF versions are available. Email me (B.Jefferies@unsw.edu.au) if

  1. Jefferies, B., Processes associated with evolution equations, J. Funct. Anal., 90 (1990), 259-277.
  2. Doust, I., and Jefferies, B., (eds), Miniconference on Probability and Analysis, University of New South Wales, 1991, Proc. Centre Math. Appl., ANU, Canberra, Vol. 29, 1992.
  3. Jefferies, B., On the additivity of unboun-ded set functions, Bull. Austral. Math. Soc., 45 (1992), 223-236. Postscript version
  4. Jefferies, B., and Ricker, W.J., On the additivity of C.A. McCarthy's product spectral measure, Integral Equations and Operator Theory, 15 (1992), 706-708.
  5. Jefferies, B., and Ricker, W.J., The Weyl functional calculus and a singular integral in $L^1$, J. Math. Anal. Appl., 176 (1993), 182-199. Postscript version
  6. Jefferies, B., and Ricker, W.J., Commutativity for $2\times2$ systems of selfadjoint matrices, Linear and Multilinear Algebra, 35 (1993), 107-114. Postscript version
  7. Jefferies, B., A process associated with the radially symmetric Dirac equation, Publ. Res. Inst. Math. Sci., Kyoto U., 30 (1994), 297-325.
  8. Jefferies, B., and Okada, S., Pettis integrals and singular integral operators, Ill. J. Math., 38 (1994), 250-272. Postscript version
  9. Jefferies, B., and Ricker, W.J., Integration with respect to vector-valued Radon polymeasures, J. Austral. Math. Soc. (Series A), 56 (1994), 17-40.
  10. Jefferies, B., An operator bound related to Feynman-Kac formulae, Proc. Amer. Math. Soc., 122 (1994), 1191-1202. Postscript version
  11. Jefferies, B., Regular unbounded set functions, J. d'Analyse Math.65 (1995), 125-144. Postscript version
  12. Jefferies, B., The Weyl calculus for hermitian matrices, Proc. Amer. Math. Soc., 124 (1996), 121-128. Postscript version
  13. Jefferies, B. and Okada S., An operator bound related to regular operators, Archiv Math. (Basel), 66 (1996), 219-227. Postscript version
  14. Jefferies, B., The Feynman representation for the Dirac propagator with a radially symmetric potential, Publ. Res. Inst. Math. Sci., Kyoto U.,32 (1996), 58-86. Postscript version
  15. Jefferies, B., Evolution Processes and the Feynman-Kac Formula, Kluwer, Dordrecht, 1996 Postscript version
  16. Jefferies, B., The Feynman-Kac formula in the operator setting, Proc. Symposium on Probability and Analysis, Taipei Nov. 1996, World Scientific, Singapore, 1997. Postscript version - -
  17. Jefferies, B., McIntosh, A. The Weyl Calculus and Clifford Analysis, Bull. Austral. Math. Soc. 57 (1998), 329-341. Postscript version
  18. Jefferies, B., McIntosh, A., J. Picton-Warlow, The monogenic functional calculus, Studia Math. 136 (1999), 99-119. Postscript version
  19. Gaudry G., Jefferies, B., and W. Ricker, Vector-valued multipliers: convolution with operator-valued measures, Dissertationes Math. 385 (2000), 1-77.
  20. Jefferies, B., Exponential bounds for noncommuting systems of matrices, Studia Math., 144 (2001), 197-207. Postscript version
  21. Jefferies, B. and Brzezniak, Z., Characterization of one dimensional point interactions for the Schroedinger operator by means of boundary conditions, J. Phys. A, 34 (2001), 2977-2983. Postscript version
  22. Jefferies, B., Johnson G.W., Feynman's operational calculi for noncommuting operators: definitions and elementary properties, Russ. J. Math. Phys 8 (2001), no. 2, 153-178. Postscript version
  23. Jefferies, B., Johnson G.W., Feynman's operational calculi for noncommuting operators: tensors, ordered supports and disentangling an exponential factor, Math. Notes 70, no. 6 (2001), 815-838. Postscript version
  24. Jefferies, B., Johnson G.W., Feynman's operational calculi for noncommuting operators: spectral theory, Inf. Dim. Anal. Quantum Prob. 5 (2002), 171-199. Postscript version
  25. Jefferies, B., Johnson G.W., Feynman's operational calculi for noncommuting operators: the monogenic calculus, Advances in Applied Clifford Algebras 11 (1) (2001), 239-264. Postscript version
  26. Jefferies, B., Applications of the monogenic functional calculus for noncommuting systems of operators , Advances in Applied Clifford Algebras 11 (S1) (2001), 171-187. Postscript version.
  27. Jefferies, B. and Piskarev, S., Tauberian theorems for semigroups, Rend. Circ. Mat. Palermo (2) Suppl 68 (2002), 513-521. Postscript version.
  28. Jefferies, B. and Piskarev, S., Tauberian theorems for cosine functions, Proc. Steklov Inst. 236 (2002), 474-480.
  29. Jefferies, B. and Ichinose, T., The propagator of the radial Dirac equation, J. Math. Phys. 43 (2002), 3963-3983. Postscript version
  30. Jefferies, B. and Brzezniak, Z., Renormalisation of Coulomb interactions for the 1-D Dirac equation, J. Math. Phys. 44 (2003), 1638-1659. Postscript version
  31. Jefferies, B. and Straub, B., Lacunas in the support of the Weyl calculus for two hermitian matrices (Postscript 2.1Mb), dvi (195K no pictures), J. Austral. Math, Soc., 75 (2003), 85-124.
  32. Jefferies, B. and Rothnie, P., Bilinear integration with positive vector measures, J. Austral. Math, Soc., 75 (2003), 279-293. Postscript version
  33. Jefferies, B., and Okada, S., Dominated semigroups of operators and evolution processes , Hokkaido Math. J. 33 (2004) 127-151, Postscript version.
  34. Jefferies, B., A symmetric functional calculus for noncommuting systems of sectorial operators, Proc. Int. Conf. on Harmonic Analysis and Related Topics, Macquarie Univ., Jan. 2002, Proc. Centre Math. Applic., 41 (2003), 68-83, Postscript version.
  35. A symmetric functional calculus for systems of operators of type \omega, Proc 6th Intern. Conf. on Clifford Algebras and Applications, Cookeville, 2002, in Clifford Algebras: Applications in Mathematics, Physics and Engineering, (R. Ablamowicz, ed.), Birkh\"auser Boston, Cambridge, 2004, 59--74.
  36. Jefferies, B., Function theory in sectors, Studia Math., 163 (2004), 257--287, Postscript version.
  37. Jefferies, B. Spectral Properties of Noncommuting Operators, Lecture Notes in Mathematics 1843, Springer, 2004 Postscript version.
  38. Jefferies, B. Advances and applications of the Feynman integral, Real and Stochastic Analysis: New Perspectives, M. M. Rao (ed), Birkhauser-Boston, 2004, 239--303.
  39. Jefferies, B. and Okada, S., Semivariation in L^p spaces, Comment. Math. Univ. Carolin. 46 (2005), 425--436, Postscript version
  40. Jefferies, B., Function theory in sectors and the analytic functional calculus for systems of operators, Proc. Centre Math. Applic. 42 (2007)
  41. Jefferies, B., Johnson, G.W. and Nielsen, L. Feynman's Operational Calculi: Spectral Theory for Noncommuting Self-Adjoint Operators, to appear.
  42. Jefferies, B., Feynman's operational calculus with Brownian time-ordering, to appear.
  43. Jefferies, B., The Riesz-Dunford and Weyl functional calculi, J. Indonesian Math. Soc., to appear.

Last modified March 16, 2007
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