Book

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[] 		Eberhard Kaniuth and Keith F. Taylor: Induced Representations of Locally Compact Groups. Cambridge Tracts in Mathematics 197, Cambridge University Press, 358 pages (2012).

Preprints and Reprints Available

  1. M. Ghandehari, A. Syzdykova, and K. F. Taylor: A Four Dimensional Continuous Wavelet Transform. To appear in Contemporary Mathematics.
  2. S. Arimoto, M. Amini, M. Spivakovsky, J. E. LeBlanc, K. F. Taylor, and T. Yamabe: Repeat Space Theory Applied to Carbon Nanotubes and Matrix Art. Bulletin of Tsuyama National College of Technology 4(5), 31-38 (2012).
  3. Q. Yang and K. F. Taylor: Multiresolution Analysis and Haar-Like Wavelet Bases on Locally Compact Groups. Journal of Applied Functional Analysis 7, 413-440 (2012).
  4. E. Kaniuth and K. F. Taylor: Compact Open Sets in Dual Spaces and Projections in Group Algebras of [FC]^- Groups. Monatshefte fur Mathematik 165, 335-352 (2012) DOI 10.1007/s00605-010-0251-7.
  5. S. Arimoto, M. Spivakovsky, Eiji Yoshida, K. F. Taylor, and P. G. Mezey: Proof of the Fukui conjecture via resolution of singularities and related methods V. J. Math. Chem. 49, 1700-1712 (2011).
  6. J. MacArthur and K. F. Taylor: Wavelets with crystal symmetry shifts. J. Fourier Analysis and Applications 17 1109-1118 (2011) DOI 10.1007/s00041-011-9196-z.
  7. S. Arimoto, M. Spivakovsky, K. F. Taylor, and P. G. Mezey: Proof of the Fukui conjecture via resolution of singularities and related methods IV. J. Math. Chem. 48, 776-790 (2010).
  8. E. Schulz and K. F. Taylor: Construction of Frames. Suranaree University of Technology Research Reports. (2009) ( Sorry, the file is 23MB.)
  9. K. F. Taylor: Cardinal Sins of the Infinite. Pi in the Sky 12 6-7 and 15-16 (2008).
  10. K. F. Taylor: Groups with Atomic Regular Representation. Representations Wavelets, and Frames: A Celebration of the Mathematical Work of Lawrence W. Baggett, 33-46, Birkhauser, Boston, MA, 2008.
  11. D. Larson, E. Schulz, D. Speegle and K. F. Taylor: Explicit Cross sections of Singly Generated Group Actions. Harmonic Analysis and Applications, A volume in honor of John J. Benedetto, C. Heil, ed., Birkhauser, Boston (2006).
  12. S. Arimoto, M. Spivakovsky, K.F. Taylor and P.G. Mezey: Proof of the Fukui Conjecture via Resolution of Singularities and Related Methods. II. J. Math. Chem. 37 171-189 (2005).
  13. S. Arimoto, M. Spivakovsky, K.F. Taylor and P.G. Mezey: Proof of the Fukui Conjecture via Resolution of Singularities and Related Methods. I. J. Math. Chem. 37 75-91 (2005).
  14. E. Schulz and K. F. Taylor: Projections in L1-algebras and Tight Frames. Contemporary Mathematics 363 313-319 (2004).
  15. Shigeru Arimoto, Mark Spivakovsky, Hiromu Ohno, Peter Zizler, Rob A. Zuidwijk, Keith F. Taylor, Tokio Yamabe, and Paul G. Mezey: Structural Analysis of Certain Linear Operators Representing Chemical Network Systems via the Existence and Uniqueness Theorems of Spectral Resolution. VII. International J. of Quantum Chemistry 97 765-775 (2004).
  16. W. Code and K. F. Taylor: Farey Sequences. An online presentation of a mathematical applet (mathlet). Submitted.
  17. P. Zizler, R. Zuidwijk, K. F. Taylor and S. Arimoto: A Finer Aspect of Eigenvalue Distribution of Selfadjoint Band Toeplitz Matrices. SIAM Journal on Matrix Analysis and Applications 24 59-67(2002).
  18. S. Arimoto, M. Spivakovsky, H. Ohno, P. Zizler, K. F. Taylor, T. Yamabe and P. Mezey: Structural Analysis of Certain Linear Operators Representing Chemical Network Systems via the Existence and Uniqueness Theorems of Spectral Resolution VI. International J. of Quantum Chemistry, 84 389-400 (2001).
  19. L.-H. Lim, J. Packer, and K. F. Taylor: A Direct Integral Decomposition of the Wavelet Representation. Proc. Amer. Math. Soc. 129 3057-3067(2001).
  20. S. Arimoto, K. Fukui, P. Zizler, K. F. Taylor and P. Mezey: Structural Analysis of Certain Linear Operators Representing Chemical Network Systems via the Existence and Uniqueness Theorems of Spectral Resolution V. International J. of Quantum Chemistry, 74 633-644(1999).
  21. E. Schulz and K. F. Taylor: Extensions of the Heisenberg Group and Wavelet Analysis in the Plane. CRM Proceedings and Lecture Notes, Serge Dubuc, Gilles Deslauriers, editors, vol. 18 99-107(1999).
  22. P. Mezey, S. Arimoto, K. F. Taylor, and K. Fukui: Polyhedral Shapes of Functional Group Distributions in Biomolecules and Related Similarity Measures. International J. of Quantum Chemistry, 66 99-105(1998).
  23. S. Arimoto, K. Fukui, K. F. Taylor and P. Mezey: Structural Analysis of Certain Linear Operators Representing Chemical Network Systems via the Existence and Uniqueness Theorems of Spectral Resolution IV. International J. of Quantum Chemistry, 67 57-69(1998).
  24. S. Arimoto, K. Fukui, Hiromu Ohno, K. F. Taylor and P. Mezey: Structural Analysis of Certain Linear Operators Representing Chemical Network Systems via the Existence and Uniqueness Theorems of Spectral Resolution III. International J. of Quantum Chemistry, 63 149-163(1997).
  25. P. Zizler, K. F. Taylor and S. Arimoto: The Courant-Fischer Theorem and the Spectrum of Selfadjoint Block Band Toeplitz Operators. Integral Equations and Operator Theory, 28 245-250(1997).
  26. E. Kaniuth and K. F. Taylor: Minimal Projections in L1-Algebras and Open Points in the Dual Spaces of Semi-Direct Product Groups. J. London Math. Soc., 53 141-157(1996).
  27. D. Bernier and K. F. Taylor: Wavelets from Square-Integrable Representations. SIAM J. Math. Anal., 27 594-608(1996).
  28. E. Kaniuth, G. Schlichting and K. F. Taylor: Minimal Primal and Glimm Ideal Spaces of Group C*-Algebras. J. of Functional Analysis, 130 43-76(1995).
  29. S. Arimoto, K. Fukui, K. F. Taylor and P. Mezey: Structural Analysis of Certain Linear Operators Representing Chemical Network Systems via the Existence and Uniqueness Theorems of Spectral Resolution I. International J. of Quantum Chemistry, 53 375-386(1995).
  30. S. Arimoto, K. Fukui, K. F. Taylor and P. Mezey: Structural Analysis of Certain Linear Operators Representing Chemical Network Systems via the Existence and Uniqueness Theorems of Spectral Resolution II. International J. of Quantum Chemistry, 53 387-406(1995).
  31. S. Arimoto, M. Spivakovsky and K. F. Taylor: Notes on the Asymptotic Linearity Theorems. J. Math. Chem., 18 169-177(1995).
  32. K. F. Taylor and W. Werner: Differentiability of the Norm in C*-Algebras. In Functional Analysis, Bierstedt, Pietsch, Ruess, Vogt, eds; Marcel-Dekker (1993) pp 329-344.
  33. K. F. Taylor and W. Werner: Differentiability of the Norm in Von Neumann Algebras. Proc. AMS, 119 475-480(1993).
  34. S. Arimoto and K. F. Taylor: Aspects of Form and General Topology: Alpha Space Asymptotic Linearity Theorem and the Spectral Symmetry of Alternants. J. Math. Chem., 13 249-264(1993).
  35. S. Arimoto and K. F. Taylor: Practical Version of the Asymptotic Linearity Theorem with Applications to the Additivity Problems of Thermodynamic Quantities. J. Math. Chem., 13 265-272(1993).
  36. X. Luo, K. F. Taylor and P. Mezey: Vertex Mobility of Polyhedra. Bull. Math. Biol., 55 131-140(1993).
  37. K. F. Taylor and X. Wang: A Metric Space Associated with a Probability Space. Int. J. Math. & Math. Sci., 16 277-282(1993).
  38. K. F. Taylor and S. Arimoto: The Functional Calculus and a Generalization of the Coulson-Rushbrooke Pairing Theorem. J. Math. Chem., 12 17-27(1993).
  39. E. Kaniuth and K. F. Taylor: Kazhdan Constants and the Dual Space Topology. Math. Annalen, 293 495-508(1992).
  40. K. Grochenig, E. Kaniuth and K. F. Taylor: Compact Open Sets in Duals and Projections in L^1-Algebras of Certain Semi-direct Product Groups. Math. Proc. Cambridge Phil. Soc., 111 545-556(1992).
  41. E. Kaniuth and K. F. Taylor: Projections in C*-Algebras of Nilpotent Groups. manuscripta mathematica, 65 93-111(1989).
  42. K. F. Taylor: C*-Algebras of Crystal Groups. Operator Theory: Advances and Applications, 41 511-518(1989).
  43. G. van Kooten and K. F. Taylor: Measuring the Marginal Welfare Impacts of Government Regulation: The Case of Supply Management. Canadian Journal of Economics, 22 892-903(1989).
  44. B. Mashhood and K. F. Taylor: On Continuity of the Index of Subfactors of a Finite Factor. Journal of Functional Analysis, 76 56-66(1988).
  45. K. F. Taylor: On Madelung's Constant. Journal of Computational Chemistry, 8 291-295(1987).
  46. I. Leonard and K. F. Taylor: Essential Supremum Norm Differentiability. International Journal of Mathematics and Mathematical Sciences, 8 433-439(1985).
  47. D. Borwein, J. Borwein and K. F. Taylor: Convergence of Lattice Sums and Madelung's Constant. Journal of Mathematical Physics, 26 2999-3009(1985).
  48. I. Leonard and K. F. Taylor: Supremum Norm Differentiability. International Journal of Mathematics and Mathematical Sciences, 6 705-713(1983).
  49. K. F. Taylor: Geometry of the Fourier Algebras and Locally Compact Groups with Atomic Unitary Representations. Mathematische Annalen, 262 183-190(1983).
  50. L. Baggett and K. F. Taylor: On Asymptotic Behaviour of Induced Representations. Canadian Journal of Mathematics, 34 220-232(1982).
  51. K. F. Taylor: Group representations which Vanish at Infinity. Mathematische Annalen, 251 185-190(1980).
  52. L. Baggett and K. F. Taylor: A Sufficient Condition for Complete Reducibility of the Regular Representation. Journal of Functional Analysis, 34 250-265(1979).
  53. K. F. Taylor: The Type Structure of Representations which Vanish at Infinity. Math. Report Acad. Sc. of Canada, 1 257-260(1979).
  54. L. Baggett and K. F. Taylor: Groups with Completely Reducible Regular Representation. Proceedings of the American Mathematical Society, 72 593-600(1978).
  55. L. Baggett and K. F. Taylor: Riemann-Lebesgue Subsets of Rn and Representations which Vanish at Infinity. Journal of Functional Analysis, 28 168-181(1978).
  56. K. F. Taylor: The Type Structure of the Regular Representation of a Locally Compact Group. Mathematische Annalen, 222 211-224(1976).