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.    Mikusinski, P.; Taylor, M. D., Markov Operators and n-Copulas, Annales Polonici Mathematici, to appear.  

2.    Atanasiu, D.; Mikusinski, P., Fourier transform of Radon measures on a locally compact groups, Integral Transform. Spec. Funct., to appear.

1.    Burzyk, J.; Ferens, C.; Mikusinski, P., On the Topology of Generalized Quotients, Applied General Topology, to appear.

2.    Atanasiu, D.; Mikusinski, P., The Fourier transform of Levy measures on a semigroup, Integral Transform. Spec. Funct., 19 (2008), 537-543.

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., Remarks on Convergence of Markov Operators, Houston J. Math., 28 (2002), 907-916.

13. Mikusinski, P.; Morimoto, M., Boehmians on the sphere and their spherical harmonic expansions, Fract. Calc. Appl. Anal. 4 (2001), 25-35.

14. Mikusinski, P., Boehmians on manifolds, Internat. J. Math. Math. Sci., 24 (2000), 583-588.

15. Mikusinski, P.; Taylor, M. D., A Remark on Associative Copulas, Comment. Math. Univ. Carolinae 40 (1999), 789-793.

16. Mikusinski, P.; Pyle, B. A., Boehmians on the Sphere, Integral Transform. Spec. Funct. 10 (2000), 93-100.

17. Li, X.; Mikusinski, P.; Taylor, M. D., Strong Approximation of Copulas, J. Math. Anal. Appl. 225 (1998), 608-623.

18. Mikusinski, P.; Mott, M. L., The integral wavelet transform of convolutors, Integral Transform. Spec. Funct. 3 (1995), 99-105.

19. Mikusinski, P.; Morse, A.; Nemzer, D., The two-sided Laplace transform for Boehmians, Integral Transform. Spec. Funct. 2 (1994), 219-230.

20. Zayed, A. I.; Mikusinski, P., On the extension of the Zak transform, Methods Appl. Anal. 2 (1995), 160-172.

21. De Lia, A.; Mikusinski, P., A Daniell-type integral with values in a Banach space, Arch. Math. (Basel) 65 (1995), 417-423.

22. Mikusinski, P.; Tighiouart, M., Value of a Boehmian at a point and at infinity, Rocky Mountain J. Math. 24 (1994), 1039-1054.

23. Mikusinski, P., Tempered Boehmians and ultradistributions, Proc. Amer. Math. Soc. 123 (1995), 813-817.

24. Mikusinski, P.; Taylor, M. D., Toward a unified theory of generalized functions: convergence, Math. Nachr. 161 (1993), 27-43.

25. Mikusinski, P.; Phillips, M.; Sherwood, H.; Taylor, M. D., The Fréchet transform, Internat. J. Math. Math. Sci. 16 (1993), 155-164.

26. Mikusinski, P.; Sherwood, H.; Taylor, M. D., Shuffles of Min, Stochastica 13 (1992), 61-74.

27. Mikusinski, P.; Zayed, A., The Radon transform of Boehmians, Proc. Amer. Math. Soc. 118 (1993), 561-570.

28. Dill, E. R.; Mikusinski, P., Strong Boehmians, Proc. Amer. Math. Soc. 119 (1993), 885-888.

29. Mikusinski, P.; Sherwood, H.; Taylor, M. D., The Fréchet bounds revisited, Real Anal. Exchange 17 (1991/92), 759-764.

30. Mikusinski, P., Boehmians on open sets, Acta Math. Hungar. 55 (1990), 63-73.

31. Mikusinski, P.; Sherwood, H.; Taylor, M. D., Lojasiewicz's support and doubly stochastic measures, Proc. Amer. Math. Soc. 109 (1990), 455-460.

32. Kaminski, A.; Mikusinski, P.; Sherwood, H.; Taylor, M. D., Doubly stochastic measures, topology, and latticework hairpins, J. Math. Anal. Appl. 152 (1990), 252-268.

33. Mikusinski, P., On the Daniell integral, Real Anal. Exchange 15 (1989/90), 307-312.

34. Mikusinski, P., A remark on regular operators, Rocky Mountain J. Math. 19 (1989), 429-432.

35. Mikusinski, P., On delta sequences, Rend. Istit. Mat. Univ. Trieste 19 (1987), 165-175.

36. Kaminski, A.; Mikusinski, P.; Sherwood, H.; Taylor, M. D., Properties of a special class of doubly stochastic measures, Aequationes Math. 36 (1988), 212-229.

37. Mikusinski, P., On harmonic Boehmians, Proc. Amer. Math. Soc. 106 (1989), 447-449.

38. Mikusinski, P., Boehmians and generalized functions, Acta Math. Hungar. 51 (1988), 271-281.

39. Mikusinski, P., On the completion of measures, Arch. Math. (Basel) 50 (1988), 259-263.

40. Mikusinski, P., Fourier transform for integrable Boehmians, Rocky Mountain J. Math. 17 (1987), 577-582.

41. Mikusinski, P., Comparison of families of pseudonorms, Ann. Math. Sil. No. 13 (1985), 163-168.

42. Mikusinski, P., Bases of convergence and diagonal conditions, Rend. Istit. Mat. Univ. Trieste 15 (1983), 32-38.

43. Mikusinski, P.; Pochcial , Jan, On Mackey convergence, Bull. Polish Acad. Sci. Math. 31 (1983), 151-155.

44. Mikusinski, P., Convergence of Boehmians, Japan. J. Math. (N.S.) 9 (1983), 159-179.

45. Mikusinski, P., On pseudonormability of some particular classes of spaces, Czechoslovak Math. J. 33 (108) (1983), 499-504.

46. 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.

47. Mikusinski, P., Axiomatic theory of convergence (Polish), Uniw. Slaski w Katowicach Prace Nauk.-Prace Mat. No. 12 (1982), 13-21.

48. 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.

49. Burzyk, J.; Mikusinski, P., On normability of semigroups, Bull. Acad. Polon. Sci. Sér. Sci. Math. 28 (1980), 33-35 (1981).

50. Mikusinski, P., Cauchy sequences in abelian groups, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 26 (1978), 707-709.

51. Mikusinski, Jan; Mikusinski, P., The natural numbers and their axiomatization (Polish), Wiadom. Mat. (2) 19 (1976), 137-140.

 

Research Papers in Conference Proceedings

 

 

1.    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.

2.    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.

3.    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.

4.    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.

5.    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.

6.    Mikusinski, P., Transforms of Boehmians, Different aspects of differentiability (Warsaw, 1993). Dissertationes Math. (Rozprawy Mat.) 340 (1995), 201-206.

7.    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.

8.    Mikusinski, P.; Zayed, A., An extension of the Radon transform, Generalized functions and their applications (Varanasi, 1991), 141-147, Plenum, New York, 1993.

9.    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.

10. 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.

11. 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.

12. 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.

13. 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.

14. 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.