List of publications

Piotr Mikusinski

Department of Mathematics
University of Central Florida
Orlando, FL 32816-1364

 


Books

  1. Debnath, Lokenath; Mikusinski, Piotr, Introduction to Hilbert Spaces with Applications, Third Edition, Elsevier/Academic Press, Inc., 2005. ISBN: 0-12-208438-1
  2. Mikusinski, Piotr; Taylor, Michael D., An Introduction to Multivariable Analysis: From Vector to Manifold, Birkhauser, 2001. ISBN: 0-8176-4234-X
  3. Debnath, Lokenath; Mikusinski, Piotr, Introduction to Hilbert spaces with applications, Second Edition, Academic Press, Inc., San Diego, CA, 1998. ISBN: 0-12-208436-5
  4. Mikusinski, Jan; Mikusinski, Piotr, An Introduction to Analysis: From Number to Integral, John Wiley & Sons, Inc., New York, 1993. ISBN: 0-471-58988-8
  5. Debnath, Lokenath; Mikusinski, Piotr, Introduction to Hilbert spaces with applications, Academic Press, Inc., Boston, MA, 1990. ISBN: 0-12-208435-7

 

Research Papers

 

  1. Atanasiu, D.; Mikusinski, P., The Fourier transform of L\'evy measures on a semigroup, Integral Transform. Spec. Funct., to appear.
  2. Burzyk, J.; Ferens, C.; Mikusinski, P., On the Topology of Generalized Quotients, Applied General Topology, to appear.
  3. Atanasiu, D.; Mikusinski, P., On the Fourier Transform, Boehmians, and Distributions, Colloquium Mathematicum 108 (2007), 263-276.
  4. Atanasiu, D.; Mikusinski, P., On the Fourier Transform and the Exchange Property, Internat. J. Math. Math. Sci. 16 (2005), 2579–2584.
  5. Edwards, H. H.; Mikusinski, P.; Taylor, M. D., Measures of Concordance Determined by $D_4$-Invariant Copulas, Internat. J. Math. Math. Sci. 70 (2004), 3867-3875.
  6. Burzyk, J.; Mikusinski, P.; Nemzer, D., Remarks on topological properties of Boehmians, Rocky Mountain J. Math. 35 (2005), 727-740.
  7. Burzyk, J.; Mikusinski, P., A characterization of distribution of finite order in the space of Boehmians, Integral Transform. Spec. Funct. 16 (2005), 639-646.
  8. Edwards, H. H.; Mikusinski, P.; Taylor, M. D., Measures of Concordance Determined by $D_4$-Invariant Measures on $(0,1)^2$, Proc. Amer. Math. Soc. 133 (2005), 1505-1513.
  9. Burzyk, J.; Mikusinski, P.; A generalization of the construction of a field of quotients with applications in analysis, Int. J. Math. Sci. 2 (2003), 229-236.
  10. Mikusinski, P.; Generalized quotients with applications in analysis, Methods Appl. Anal. 10 (2003), 377-386.
  11. Mikusinski, P., Generalized Functions and Convolutions, Cubo Matemática Educacional, 5 (2003), 197-212.
  12. Li, X.; Mikusinski, P.; Taylor, M. D., Some Integration-by-parts Formulas Involving 2- copulas, Distributions with Given Marginals and Statistical Modeling (Barcelona, 2000), 153-159, Kluwer Acad. Publ., Dordrecht, 2002.
  13. Li, X.; Mikusinski, P.; Taylor, M. D., Remarks on Convergence of Markov Operators, Houston J. Math., 28 (2002), 907-916.
  14. Mikusinski, P.; Morimoto, M., Boehmians on the sphere and their spherical harmonic expansions, Fract. Calc. Appl. Anal. 4 (2001), 25-35.
  15. Mikusinski, P., Boehmians on manifolds, Internat. J. Math. Math. Sci., 24 (2000), 583-588.
  16. Mikusinski, P.; Taylor, M. D., A Remark on Associative Copulas, Comment. Math. Univ. Carolinae 40 (1999), 789-793.
  17. Mikusinski, P.; Pyle, B. A., Boehmians on the Sphere, Integral Transform. Spec. Funct. 10 (2000), 93-100.
  18. Li, X.; Mikusinski, P.; Taylor, M. D., Strong Approximation of Copulas, J. Math. Anal. Appl. 225 (1998), 608-623.
  19. Li, X.; Mikusinski, P.; Sherwood, H.; Taylor, M. D., On approximation of copulas, Distributions with given marginals and moment problems (Prague, 1996), 107-116, Kluwer Acad. Publ., Dordrecht, 1997.
  20. Mikusinski, P., On flexibility of Boehmians, Proceedings of the Conference "Different Aspects of Differentiability", II (Warsaw, 1995), Integral Transform. Spec. Funct. 4 (1996), 141-146.
  21. Li, Xin; Mikusinski, P.; Sherwood, H.; Taylor, M. D., In quest of Birkhoff's theorem in higher dimensions, Distributions with fixed marginals and related topics (Seattle, WA, 1993), 187-197, IMS Lecture Notes Monogr. Ser. 28, Inst. Math. Statist., Hayward, CA, 1996.
  22. Caron, R. M.; Li, Xin; Mikusinski, P.; Sherwood, H.; Taylor, M. D., Nonsquare "doubly stochastic" matrices, Distributions with fixed marginals and related topics (Seattle, WA, 1993), 65-75, IMS Lecture Notes Monogr. Ser., 28, Inst. Math. Statist., Hayward, CA, 1996.
  23. Mikusinski, P.; Mott, M. L., The integral wavelet transform of convolutors, Integral Transform. Spec. Funct. 3 (1995), 99-105.
  24. Mikusinski, P.; Morse, A.; Nemzer, D., The two-sided Laplace transform for Boehmians, Integral Transform. Spec. Funct. 2 (1994), 219-230.
  25. Zayed, A. I.; Mikusinski, P., On the extension of the Zak transform, Methods Appl. Anal. 2 (1995), 160-172.
  26. De Lia, A.; Mikusinski, P., A Daniell-type integral with values in a Banach space, Arch. Math. (Basel) 65 (1995), 417-423.
  27. Mikusinski, P., Transforms of Boehmians, Different aspects of differentiability (Warsaw, 1993). Dissertationes Math. (Rozprawy Mat.) 340 (1995), 201-206.
  28. Mikusinski, P.; Tighiouart, M., Value of a Boehmian at a point and at infinity, Rocky Mountain J. Math. 24 (1994), 1039-1054.
  29. Mikusinski, P., The Fourier transform of tempered Boehmians, Fourier analysis (Orono, ME, 1992), 303-309, Lecture Notes in Pure and Appl. Math., 157, Dekker, New York, 1994.
  30. Mikusinski, P., Tempered Boehmians and ultradistributions, Proc. Amer. Math. Soc. 123 (1995), 813-817.
  31. Mikusinski, P.; Zayed, A., An extension of the Radon transform, Generalized functions and their applications (Varanasi, 1991), 141-147, Plenum, New York, 1993.
  32. Mikusinski, P.; Taylor, M. D., Toward a unified theory of generalized functions: convergence, Math. Nachr. 161 (1993), 27-43.
  33. Mikusinski, P.; Phillips, M.; Sherwood, H.; Taylor, M. D., The Fréchet transform, Internat. J. Math. Math. Sci. 16 (1993), 155-164.
  34. Mikusinski, P.; Sherwood, H.; Taylor, M. D., Probabilistic interpretations of copulas and their convex sums, Advances in probability distributions with given marginals (Rome, 1990), 95-112, Math. Appl., 67, Kluwer Acad. Publ., Dordrecht, 1991.
  35. Mikusinski, P.; Sherwood, H.; Taylor, M. D., Shuffles of Min, Stochastica 13 (1992), 61-74.
  36. Mikusinski, P.; Zayed, A., The Radon transform of Boehmians, Proc. Amer. Math. Soc. 118 (1993), 561-570.
  37. Dill, E. R.; Mikusinski, P., Strong Boehmians, Proc. Amer. Math. Soc. 119 (1993), 885-888.
  38. Mikusinski, P.; Sherwood, H.; Taylor, M. D., The Fréchet bounds revisited, Real Anal. Exchange 17 (1991/92), 759-764.
  39. Mikusinski, P., Boehmians on open sets, Acta Math. Hungar. 55 (1990), 63-73.
  40. Mikusinski, P.; Sherwood, H.; Taylor, M. D., Lojasiewicz's support and doubly stochastic measures, Proc. Amer. Math. Soc. 109 (1990), 455-460.
  41. Kaminski, A.; Mikusinski, P.; Sherwood, H.; Taylor, M. D., Doubly stochastic measures, topology, and latticework hairpins, J. Math. Anal. Appl. 152 (1990), 252-268.
  42. Mikusinski, P., On the Daniell integral, Real Anal. Exchange 15 (1989/90), 307-312.
  43. Mikusinski, P., A remark on regular operators, Rocky Mountain J. Math. 19 (1989), 429-432.
  44. Mikusinski, P., On delta sequences, Rend. Istit. Mat. Univ. Trieste 19 (1987), 165-175.
  45. Kaminski, A.; Mikusinski, P.; Sherwood, H.; Taylor, M. D., Properties of a special class of doubly stochastic measures, Aequationes Math. 36 (1988), 212-229.
  46. Mikusinski, P., On harmonic Boehmians, Proc. Amer. Math. Soc. 106 (1989), 447-449.
  47. Mikusinski, P., Boehmians and generalized functions, Acta Math. Hungar. 51 (1988), 271-281.
  48. Mikusinski, P., On the completion of measures, Arch. Math. (Basel) 50 (1988), 259-263.
  49. Mikusinski, P., Fourier transform for integrable Boehmians, Rocky Mountain J. Math. 17 (1987), 577-582.
  50. Mikusinski, P., Comparison of families of pseudonorms, Ann. Math. Sil. No. 13 (1985), 163-168.
  51. Mikusinski, P., Bases of convergence and diagonal conditions, Rend. Istit. Mat. Univ. Trieste 15 (1983), 32-38.
  52. Mikusinski, P.; Pochcial , Jan, On Mackey convergence, Bull. Polish Acad. Sci. Math. 31 (1983), 151-155.
  53. Mikusinski, P., Convergence of Boehmians, Japan. J. Math. (N.S.) 9 (1983), 159-179.
  54. Mikusinski, P., On pseudonormability of some particular classes of spaces, Czechoslovak Math. J. 33(108) (1983), 499-504.
  55. Mikusinski, P., Convergence dans l'ensemble des quotients de suites (French), [Convergence in the space of quotients of sequences], C. R. Acad. Sci. Paris Sér. I Math. 294 (1982), 87-89.
  56. Mikusinski, P., Axiomatic theory of convergence (Polish), Uniw. Slaski w Katowicach Prace Nauk.-Prace Mat. No. 12 (1982), 13-21.
  57. Mikusinski, J.; Mikusinski, P., Quotients de suites et leurs applications dans l'analyse fonctionnelle (French), [Quotients of sequences and their applications in functional analysis], C. R. Acad. Sci. Paris Sér. I Math. 293 (1981), 463-464.
  58. Burzyk, J.; Mikusinski, P., On normability of semigroups, Bull. Acad. Polon. Sci. Sér. Sci. Math. 28 (1980), 33-35 (1981).
  59. Mikusinski, P., Cauchy sequences in abelian groups, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 26 (1978), 707-709.
  60. Mikusinski, Jan; Mikusinski, P., The natural numbers and their axiomatization (Polish), Wiadom. Mat. (2) 19 (1976), 137-140.
  61. Mikusinski, P.; Ostaszewski, K., The space of Henstock integrable functions. II, New integrals (Coleraine, 1988), 136-149, Lecture Notes in Math., 1419, Springer, Berlin, 1990.
  62. Mikusinski, P.; Pochcial, J., On bases of convergence, Convergence structures and applications, II (Schwerin, 1983), 163-166, Abh. Akad. Wiss. DDR, Abt. Math. Naturwiss. Tech., 84-2, Akademie-Verlag, Berlin, 1984.
  63. Mikusinski, P., A general concept of convergence, Proceedings of the Second Conference on Convergence (Szczyrk, 1980), pp. 46-53, Polsk. Akad. Nauk, Oddzial w Katowicach, Katowice, 1981.
  64. Mikusinski, J.; Mikusinski, P., Algebra of convergence, Proceedings of the Conference on Convergence (Szczyrk, 1979), pp. 81-83, Polsk. Akad. Nauk, Oddzial w Katowicach, Katowice, 1980.
  65. Mikusinski, P., On extension of pseudonorms, Proceedings of the Conference on Convergence (Szczyrk, 1979), pp. 84-86, Polsk. Akad. Nauk, Oddzial w Katowicach, Katowice, 1980.