Book

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

Reviews: MAA Review, MathSciNet

Preprints and Reprints Available

  1. R. Milad and K.F. Taylor: A Two Plus One Dimensional Continuous Wavelet Transform, Monatsh Math 204, 241-260 (2024). https://doi.org/10.1007/s00605-023-01918-y
  2. R. Milad and K.F. Taylor: Harmonic Analysis on the Affine Group of the Plane. J Fourier Anal Appl 29, 30 (2023). https://doi.org/10.1007/s00041-023-10007-5
  3. L.W. Baggett, K.D. Merrill, J.A. Packer, and K.F. Taylor: Decomposing the Wavelet Representation for Shifts by Wallpaper Groups. J. Fourier Anal. Appl. 27, 16 (2021). https://doi.org/10.1007/s00041-021-09818-1
  4. G. Fang, M. Amini, H. Chen, N. Fukuda, H. Hosoya, M. Kawai, J.E. LeBlanc, P.G. Mezey, I. Naruki, T. Okada, E. Rambo, M. Spivakovsky, S. Takeuchi, K.F. Taylor, H. Wong, S. Yamanaka, M. Yokotani, P. Zizler, and S. Arimoto, "Mathematics and Chemistry Interdisciplinary Joint Research and the Fukui Project XXIV, XXV, XXVI, XXVII, XXVIII", Bulletin of National Institute of Technology, Tsuyama College 60 (2019) 31-36, 37-42, 43-48, 49-54, 55-62.
  5. S. Arimoto, M. Amini, H. Chen, N. Fukuda, J.E. LeBlanc, T. Murakami, I. Naruki, M. Spivakovsky, S. Takeuchi, K.F. Taylor, H.Y. Wong, S. Yamanaka, M. Yokotani, and P. Zizler, "Mathematics and Chemistry Interdisciplinary Joint Research and the Fukui Project XIX, XX, XXI, XXII, XXIII", Bulletin of National Institute of Technology, Tsuyama College 59 (2017) 1-7, 9-16, 17-24, 25-31, 33-37.
  6. S. Arimoto, M. Amini, N. Fukuda, J.E. LeBlanc, T. Murakami, I. Naruki, M. Spivakovsky, S. Takeuchi, K.F. Taylor, S. Yamanaka, M. Yokotani, and P. Zizler, "Mathematics and Chemistry Interdisciplinary Joint Research and the Fukui Project XIV, XV, XVI, XVII, XVIII", Bulletin of National Institute of Technology, Tsuyama College 58 (2016) 35-39, 41-46, 47-51, 53-59, 61-65.
  7. M. Alaghmandan, M. Ghandehari, N. Spronk and K. F. Taylor: Projections in L1(G); the Unimodular Case. Proc. AMS 144, 4929-4941 (2016).
  8. B. Currey, H. Fuehr and K. F. Taylor: Integrable Wavelet Transforms with Abelian Dilation Groups. J. Lie Theory 26, 567 - 596 (2016).
  9. S. Arimoto, M. Amini, N. Fukuda, I. Morishima, T. Murakami, I. Naruki, K. Saito, M. Spivakovsky, S. Takeuchi, K.F. Taylor, S. Yamanaka, M. Yokotani, and P. Zizler, Mathematics and Chemistry Interdisciplinary Joint Research and the Fukui Project IX, X, XI, XII, XIII, Bulletin of National Institute of Technology, Tsuyama College 57 (2015) 45-49, 51-58, 59-66, 67-72, 73-78.
  10. S. Arimoto, N. Fukuda, K. Hiroki, I. Morishima, T. Murakami, I. Naruki, K. Saito, S. Takeuchi, K. F. Taylor, M. Yokotani, and P. Zizler: Mathematics and Chemistry Interdisciplinary Joint Research and the Fukui Project IV, V, VI, VII, and VIII. Bulletin of National Institute of Technology, Tsuyama College 56 (2014) 17-24, 25-32, 33-39, 41-46, 47-53.
  11. M. Ghandehari and K. F. Taylor: Images of the Continuous Wavelet Transform.In Operator Methods in Wavelets, Tilings, and Frames: Ed. V. Furst, K.A. Kornelson, and E.S. Weber. Contemporary Mathematics 626, 55-65 (2014).
  12. K. F. Taylor: Continuous Wavelet Transforms on R and the Affine Group. Herald of PSU. Physical and Mathematical Section. Scientific journal of the S.Toraighyrov Pavlodar State University 4, 56-64 (2014).
  13. M. Ghandehari, A. Syzdykova, and K. F. Taylor: A Four Dimensional Continuous Wavelet Transform. In Commutative and Noncommutative Harmonic Analysis and Applications: Ed. A. Mayeli, A. Iosevich, P.E.T. Jorgensen, and G. Olafsson. Contemporary Mathematics 603, 123-136 (2013).
  14. 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).
  15. 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).
  16. 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.
  17. 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).
  18. 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.
  19. 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).
  20. E. Schulz and K. F. Taylor: Construction of Frames. Suranaree University of Technology Research Reports. (2009) ( Sorry, the file is 23MB.)
  21. K. F. Taylor: Cardinal Sins of the Infinite. Pi in the Sky 12 6-7 and 15-16 (2008).
  22. 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.
  23. 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).
  24. 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).
  25. 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).
  26. E. Schulz and K. F. Taylor: Projections in L1-algebras and Tight Frames. Contemporary Mathematics 363 313-319 (2004).
  27. 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).
  28. 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).
  29. 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).
  30. 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).
  31. 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).
  32. 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).
  33. 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).
  34. 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).
  35. 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).
  36. 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).
  37. 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).
  38. D. Bernier and K. F. Taylor: Wavelets from Square-Integrable Representations. SIAM J. Math. Anal., 27 594-608(1996).
  39. 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).
  40. 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).
  41. 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).
  42. S. Arimoto, M. Spivakovsky and K. F. Taylor: Notes on the Asymptotic Linearity Theorems. J. Math. Chem., 18 169-177(1995).
  43. 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.
  44. K. F. Taylor and W. Werner: Differentiability of the Norm in Von Neumann Algebras. Proc. AMS, 119 475-480(1993).
  45. 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).
  46. 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).
  47. X. Luo, K. F. Taylor and P. Mezey: Vertex Mobility of Polyhedra. Bull. Math. Biol., 55 131-140(1993).
  48. K. F. Taylor and X. Wang: A Metric Space Associated with a Probability Space. Int. J. Math. & Math. Sci., 16 277-282(1993).
  49. 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).
  50. E. Kaniuth and K. F. Taylor: Kazhdan Constants and the Dual Space Topology. Math. Annalen, 293 495-508(1992).
  51. 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).
  52. E. Kaniuth and K. F. Taylor: Projections in C*-Algebras of Nilpotent Groups. manuscripta mathematica, 65 93-111(1989).
  53. K. F. Taylor: C*-Algebras of Crystal Groups. Operator Theory: Advances and Applications, 41 511-518(1989).
  54. 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).
  55. 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).
  56. K. F. Taylor: On Madelung's Constant. Journal of Computational Chemistry, 8 291-295(1987).
  57. I. Leonard and K. F. Taylor: Essential Supremum Norm Differentiability. International Journal of Mathematics and Mathematical Sciences, 8 433-439(1985).
  58. D. Borwein, J. Borwein and K. F. Taylor: Convergence of Lattice Sums and Madelung's Constant. Journal of Mathematical Physics, 26 2999-3009(1985).
  59. I. Leonard and K. F. Taylor: Supremum Norm Differentiability. International Journal of Mathematics and Mathematical Sciences, 6 705-713(1983).
  60. K. F. Taylor: Geometry of the Fourier Algebras and Locally Compact Groups with Atomic Unitary Representations. Mathematische Annalen, 262 183-190(1983).
  61. L. Baggett and K. F. Taylor: On Asymptotic Behaviour of Induced Representations. Canadian Journal of Mathematics, 34 220-232(1982).
  62. K. F. Taylor: Group representations which Vanish at Infinity. Mathematische Annalen, 251 185-190(1980).
  63. L. Baggett and K. F. Taylor: A Sufficient Condition for Complete Reducibility of the Regular Representation. Journal of Functional Analysis, 34 250-265(1979).
  64. K. F. Taylor: The Type Structure of Representations which Vanish at Infinity. Math. Report Acad. Sc. of Canada, 1 257-260(1979).
  65. L. Baggett and K. F. Taylor: Groups with Completely Reducible Regular Representation. Proceedings of the American Mathematical Society, 72 593-600(1978).
  66. 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).
  67. K. F. Taylor: The Type Structure of the Regular Representation of a Locally Compact Group. Mathematische Annalen, 222 211-224(1976).