publications by area

This is a list of my publications grouped by subject areas. Use the menu on the left to go to the desired area. Click on a paper record to see details and a link to an electronic copy (if applicable).

Operator theory, semigroups of linear operators
  2007
Jan Kisyński. On Fourier transforms of distribution semigroups. J. Funct. Anal., 242(2):400–441, 2007.
  2006
Jan Kisyński. On Fourier transforms of distribution semigroups. Technical Report 666, Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland, 37pp, March 2006.
  2003b
Jan Kisyński. Representations of the convolution algebra D(R) and distrubution groups. Technical Report 644, Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland, 27pp, July 2003.
  2002b
Jan Kisyński. Distribution semigroups and one parameter semigroups. Bull. Polish Acad. Sci. Math., 50(2):189–216, 2002.
  2002a
Jan Kisyński. On distribution semigroups and their infinitely differentiable vectors. In Ukrainian Congress of Mathematics, Section 11. Functional analysis, Papers from the congress held in Kiev, August 21–23, 2001, pages 133–145. National Academy of Sciences of Ukraine, Institute of Mathematics, Kiev, 2002.
  2001
Jan Kisyński. Pseudoresolvents and distributions semigroups. Technical Report 617, Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland, 36pp, July 2001.
  2000b
Jan Kisyński. On Cohen's proof of the factorization theorem. Ann. Polon. Math., 75(2):177–192, 2000.
  2000a
Jan Kisyński. Around Widder’s characterization of the Laplace transform of an element of L∞(R+). Ann. Polon. Math., 74:161–200, 2000. Dedicated to the memory of Bogdan Ziemian.
  1998d
Jan Kisyński. The Widder spaces, representations of the convolution algebra L1(R+) and one parameter semigroups of operators. Technical Report 588, Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland, 36pp, June 1998.
  1998a
Wojciech Chojnacki and Jan Kisyński. On the Favard classes of semigroups associated with pseudoresolvents. Acta Sci. Math. (Szeged), 64(3-4):681–696, 1998.
  1997
Wojciech Chojnacki and Jan Kisyński. On the Favard classes of semigroups associated with pseudoresolvents. Technical Report TR 97-04, Department of Computer Science, The University of Adelaide, Adelaide, Australia, 1997.
  1991
Jan Kisyński. O równaniu telegrafistów z małym parametrem. Prace Naukowe Politechniki Lubelskiej. Matematyka, 211(12):18–40, 1991.
  1990b
Jan Kisyński. Representations of Lie groups in Hilbert spaces and cosine operator functions. Prace Naukowe Politechniki Lubelskiej. Matematyka, 210(11):86, 1990.
  1979a
Jan Kisyński. On semigroups generated by differential operators on Lie groups. J. Funct. Anal., 31(2):234–244, 1979.
  1976b
Jan Kisyński. Holomorphicity of semigroups of operators generated by sublaplacians on Lie groups. In Erhard Meister, Norbert Weck, and Wolfgang L. Wendland, Function Theoretic Methods for Partial Differential Equations. Proceedings of the International Symposium Held at Darmstadt, Germany, April 1215, 1976, volume 561 of Lecture Notes in Mathematics, pages 283–297. Springer Berlin-Heidelberg, 1976.
  1976a
Jan Kisyński. Semi-groups of operators and some of their applications to partial differential equations. In Control theory and topics in functional analysis. Lectures presented at an International Seminar Course at Trieste from 11 September to 29 November 1974 organized by the International Centre for Theoretical Physics, Trieste, Vol. III, pages 305–405. International Atomic Energy Agency, Vienna, October 1976.
  1974c
Jan Kisyński. On integration of a Lie algebra representation in a Banach space. Technical Report IC/1974/130, International Centre for Theoretical Physics, Trieste, Italy, 19pp, 1974.
  1974b
Jan Kisyński. On the integrability of Banach space representations of Lie algebras, II. Technical Report, University of Warsaw, Institute of Mathematics, Warsaw, Poland, 8pp, February 1974.
  1974a
Jan Kisyński. On M. Kac's probabilistic formula for the solution of the telegraphist's equation. Ann. Polon. Math., 29:259-27, 1974. Collection of articles dedicated to the memory of Tadeusz Ważewski, III.
  1973
Jan Kisyński. On the integrability of Banach space representations of Lie algebras. Technical Report, University of Warsaw, Institute of Mathematics, Warsaw, Poland, 43pp, June 1973.
  1972e
Jan Kisyński. On the connections between cosine operator functions and one parameter semi-groups and groups of operators. Technical Report, University of Warsaw, Institute of Mathematics, Warsaw, Poland, 9pp, July 1972.
  1972c
Jan Kisyński. On cosine operator functions and one-parameter groups of operators. Studia Math., 44:93-105, 1972. Collection of articles honoring the completion by Antoni Zygmund of 50 years of scientific activity, I.
  1972a
Jan Kisyński. On operator-valued solutions of d'Alembert's functional equation. II. Studia Math., 42:43-66, 1972.
  1971
Jan Kisyński. On operator-valued solutions of d'Alembert's functional equation. I. Colloq. Math., 23:107-114, 1971.
  1970b
Jan Kisyński. On a second order Cauchy's problem in a Banach space. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys., 18:371-374, 1970.
  1968a
Jan Kisyński. A remark on continuity of one-parameter semi-groups of operators. Colloq. Math., 19:277-284, 1968.
  1967
Jan Kisyński. A proof of the Trotter-Kato theorem on approximation of semi-groups. Colloq. Math., 18:181-184, 1967.
  1966b
Jan Kisyński. On temporally inhomogeneous equations of evolution in Banach spaces. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys., 14:623-626, 1966.
  1964
Jan Kisyński. Sur les opérateurs de Green des problèmes de Cauchy abstraits. Studia Math., 23:285-328, 1964.
  1963
Jan Kisyński. Sur les équations hyperboliques avec petit paramètre. Colloq. Math., 10:331-343, 1963.
Partial differential equations
  1998c
Jan Kisyński. Analytic semigroups and Markov processes associated with the Dirichlet problem for an elliptic integrodifferential operator of the second order. Technical Report 585, Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland, 44pp, March 1998.
  1998b
Jan Kisyński. On resolvents and semigroups associated with the Dirichlet problem for an elliptic differential operator of second order with a Lévy perturbation, Lublin University of Technology, Lublin, Poland, 1998.
  1992
Jan Kisyński. On Markov processes generated by boundary systems of Ventcel. In Tomasz Mazur, Classical analysis. Proceedings of the 6th International Symposium held at Kazimierz Dolny, September 23–29, 1991, pages 53–99. World Scientific Publishing Co., Inc., River Edge, NJ, April 1992.
  1991
Jan Kisyński. O równaniu telegrafistów z małym parametrem. Prace Naukowe Politechniki Lubelskiej. Matematyka, 211(12):18–40, 1991.
  1976a
Jan Kisyński. Semi-groups of operators and some of their applications to partial differential equations. In Control theory and topics in functional analysis. Lectures presented at an International Seminar Course at Trieste from 11 September to 29 November 1974 organized by the International Centre for Theoretical Physics, Trieste, Vol. III, pages 305–405. International Atomic Energy Agency, Vienna, October 1976.
  1974a
Jan Kisyński. On M. Kac's probabilistic formula for the solution of the telegraphist's equation. Ann. Polon. Math., 29:259-27, 1974. Collection of articles dedicated to the memory of Tadeusz Ważewski, III.
  1972d
Jan Kisyński. On a mixed problem for the wave operator. Technical Report, University of Warsaw, Institute of Mathematics, Warsaw, Poland, 4pp, July 1972.
  1970c
Jan Kisyński and Andrzej Pelczar. Comparison of solutions and successive approximations in the theory of the equation ∂²z/∂x∂y = f(x, y, z, ∂z/∂x, ∂z/∂y). Dissertationes Math., 76:74, 1970.
  1970a
Jan Kisyński. On second order hyperbolic equation with two independent variables. Colloq. Math., 22:135-151 (errata insert), 1970.
  1963
Jan Kisyński. Sur les équations hyperboliques avec petit paramètre. Colloq. Math., 10:331-343, 1963.
  1962
Jan Kisyński and Witold Tym. Sur la convergence des approximations successives pour l'équation ∂²z/∂x∂y = f(x, y, z, ∂z/∂x, ∂z/∂y). Ann. Univ. Mariae Curie-Skłodowska. Sect. A, 16:107-121 (1964), 1962.
  1961
Jan Kisyński. Sur l'existence des solutions de l'équation ∂²z/∂x∂y = f(x, y, z, ∂z/∂x, ∂z/∂y). Ann. Univ. Mariae Curie-Skłodowska. Sect. A, 15:85-95, 1961.
  1960e
Jan Kisyński. Solutions généralisées du problème de Cauchy-Darboux pour l'équation ∂²z/∂x∂y = f(x, y, z, ∂z/∂x, ∂z/∂y). Ann. Univ. Mariae Curie-Skłodowska. Sect. A, 14:87-109, 1960.
  1960d
Jan Kisyński. Application de la méthode des approximations successives dans la théorie de l'équation ∂²z/∂x∂y = f(x, y, z, ∂z/∂x, ∂z/∂y). Ann. Univ. Mariae Curie-Skłodowska. Sect. A, 14:65-86, 1960.
  1960a
Jan Kisyński. Sur la convergence des approximations successives pour l'équation ∂²z/∂x∂y = f(x, y, z, ∂z/∂x, ∂z/∂y). Ann. Polon. Math., 7:233-240, 1960.
  1959b
Jan Kisyński. Remarque sur l'existence des solutions en large de l'équation ∂²z/∂x∂y = f(x, y, z, ∂z/∂x, ∂z/∂y). Ann. Univ. Mariae Curie-Skłodowska. Sect. A, 13:25-32, 1959.
  1959a
Jan Kisyński. Sur le problème de Picard pour l'équation hyperbolique aux dérivées partielles du second ordre. Ann. Univ. Mariae Curie-Skłodowska. Sect. A, 13:5-24, 1959.
  1958d
Adam Bielecki and Jan Kisyński. Une remarque à propos de deux notes de Z. Szmydt. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys., 6:15-17, 1958.
  1958c
Jan Kisyński. Sur l'unicité des solutions de certains problèmes pour l'équation ∂²z/∂x∂y = f(x, y, z, ∂z/∂x, ∂z/∂y). Ann. Univ. Mariae Curie-Skłodowska. Sect. A, 12:111-129, 1958.
  1958b
Jan Kisyński. Sur l'existence des solutions d'un problème de Mlle Z. Szmydt relatif à l'équation ∂²z/∂x∂y = f(x, y, z, ∂z/∂x, ∂z/∂y). Ann. Univ. Mariae Curie-Skłodowska. Sect. A, 12:67-109, 1958.
  1958a
Adam Bielecki and Jan Kisyński. Sur un problème de Mlle Z. Szmydt relatif à l'équation ∂²z/∂x∂y = f(x, y, z, ∂z/∂x, ∂z/∂y). Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys., 6:321-325, 1958.
  1957
Jan Kisyński. Sur l'existence et l'unicité des solutions des problèmes classiques relatifs à l'équation s = F(x, y, z, p, q). Ann. Univ. Mariae Curie-Skłodowska. Sect. A, 11:73-112 (1959), 1957.
  1956
Adam Bielecki and Jan Kisyński. Sur le problème de E. Goursat relatif à l'équation ∂²z/∂x∂y = f(x, y). Ann. Univ. Mariae Curie-Skłodowska. Sect. A, 10:99-126 (1958), 1956.
Stochastic processes
  1998c
Jan Kisyński. Analytic semigroups and Markov processes associated with the Dirichlet problem for an elliptic integrodifferential operator of the second order. Technical Report 585, Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland, 44pp, March 1998.
  1998b
Jan Kisyński. On resolvents and semigroups associated with the Dirichlet problem for an elliptic differential operator of second order with a Lévy perturbation, Lublin University of Technology, Lublin, Poland, 1998.
  1993
Jan Kisyński. Feller semigroups, infinitesimal generators and resolvents on a compact manifold with boundary. In Tomasz Mazur, Classical analysis. Proceedings of the 7th International Symposium held at Kazimierz Dolny, September 20--26, 1993, 45pp. K. Pułaski Higher College of Engineering, Radom, Poland, 1993.
  1992
Jan Kisyński. On Markov processes generated by boundary systems of Ventcel. In Tomasz Mazur, Classical analysis. Proceedings of the 6th International Symposium held at Kazimierz Dolny, September 23–29, 1991, pages 53–99. World Scientific Publishing Co., Inc., River Edge, NJ, April 1992.
  1990a
Jan Kisyński. Metrization of DE[0, 1] by Hausdorff distance between graphs. Ann. Polon. Math., 51:195–203, 1990.
  1989b
Jan Kisyński. Local uniqueness of Feller processes with integrodifferential generators. In Jerzy Zabczyk, Stochastic Systems and Optimization. Proceedings of the 6th IFIP WG 7.1 Working Conference Warsaw, Poland, September 12–-16, 1988, volume 136 of Lecture Notes in Control and Information Sciences, pages 98–111. Springer Berlin-Heidelberg, 1989.
  1989a
Jan Kisyński. Localizations of Feller infinitesimal generators and uniqueness of corresponding killed processes. In Herbert Heyer, Probability Measures on Groups IX. Proceedings of a Conference held in Oberwolfach, FRG, January 17–-23, 1988, volume 1379 of Lecture Notes in Mathematics, pages 141–178. Springer Berlin-Heidelberg, 1989.
  1988
Jan Kisyński. On jumps of a certain Markov process. In Maciej Skwarczyński and Tomasz Mazur, Classical analysis. Proceedings of the International Symposium held at Kazimierz Dolny, Prace Matematyczno-Fizyczne, pages 7–22. K. Pułaski Higher College of Engineering, Radom, Poland, 1988.
  1986
Jan Kisyński. On jumps of paths of Markov processes. In Herbert Heyer, Probability Measures on Groups VIII. Proceedings of a Conference held in Oberwolfach, November 10-16, 1985, volume 1210 of Lecture Notes in Mathematics, pages 130–145. Springer Berlin-Heidelberg, 1986.
  1984d
Jan Kisyński. Predictability of cadlag processes without probability. Ann. Univ. Mariae Curie-Skłodowska. Sect. A, 38:49–54 (1986), 1984.
  1984c
Jan Kisyński. On a formula of N. Ikeda and S. Watanabe concerning the Lévy kernel. In Herbert Heyer, Probability Measures on Groups VII. Proceedings of a Conference held in Oberwolfach, 24–-30 April 1983, volume 1064 of Lecture Notes in Mathematics, pages 260–279. Springer Berlin-Heidelberg, 1984.
  1984b
Jan Kisyński. Fluctuations and one-sided limits. Technical Report 22/1984, University of Warsaw, Institute of Mathematics, Warsaw, Poland, 21pp, 1984.
  1984a
Jan Kisyński. Predictability of r.c.1.1. processes without probability. Technical Report 15/1984, University of Warsaw, Institute of Mathematics, Warsaw, Poland, 10pp, 1984.
  1974a
Jan Kisyński. On M. Kac's probabilistic formula for the solution of the telegraphist's equation. Ann. Polon. Math., 29:259-27, 1974. Collection of articles dedicated to the memory of Tadeusz Ważewski, III.
Measure theory
  1968c
Jan Kisyński. On the generation of tight measures. Studia Math., 30:141-151, 1968.
  1968b
Jan Kisyński. Remark on strongly additive set functions. Fund. Math., 63:327-332, 1968.
General topology
  1990a
Jan Kisyński. Metrization of DE[0, 1] by Hausdorff distance between graphs. Ann. Polon. Math., 51:195–203, 1990.
  1960b
Jan Kisyński. Convergence du type L. Colloq. Math., 7:05-211, 1960.
Fourier analysis, ultradifferentiable functions
  2007
Jan Kisyński. On Fourier transforms of distribution semigroups. J. Funct. Anal., 242(2):400–441, 2007.
  2006
Jan Kisyński. On Fourier transforms of distribution semigroups. Technical Report 666, Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland, 37pp, March 2006.
  2003b
Jan Kisyński. Representations of the convolution algebra D(R) and distrubution groups. Technical Report 644, Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland, 27pp, July 2003.
  1972a
Jan Kisyński. On operator-valued solutions of d'Alembert's functional equation. II. Studia Math., 42:43-66, 1972.
  1971
Jan Kisyński. On operator-valued solutions of d'Alembert's functional equation. I. Colloq. Math., 23:107-114, 1971.
Matrix theory
  1979b
Jan Kisyński. The argument of a Lagrange subspace and the Maslov index. Technical Report 202, Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland, 33pp, December 1979.
  1972b
Jan Kisyński. On uniform symmetrization of analytic matrix functions. Studia Math., 42:67-86, 1972.
  1958e
Jan Kisyński. Sur la méthode des approximations successives pour un système de n équations à n inconnues. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys., 6:683-687, 1958.
Real functions
  1984b
Jan Kisyński. Fluctuations and one-sided limits. Technical Report 22/1984, University of Warsaw, Institute of Mathematics, Warsaw, Poland, 21pp, 1984.
  1960c
Jan Kisyński. Sur les familles compactes de fonctions mesurables. Colloq. Math., 7:221-235, 1960.
Ordinary differential equations
  1966a
Jan Kisyński. Differentiation of solutions of ordinary differential equations with respect to parameter. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys., 14:553-557, 1966.
  1959c
Jan Kisyński. Sur les équations différentielles dans les espaces de Banach. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys., 7:381-385, 1959. Unbound insert.
Algebraic topology
  1979b
Jan Kisyński. The argument of a Lagrange subspace and the Maslov index. Technical Report 202, Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland, 33pp, December 1979.
Numerical analysis
  1978
Jan Kisyński, Janusz Mika and Nguyen Quang Sinh. Symmetrized Neuron Transport Equation and the Fast Fourier Transform Method. Nuclear Science and Engineering, 67:363-370, 1978.
Other
  2003a
Jan Kisyński and Jan Krzyż. Adam Bielecki (1910–2003). Ann. Univ. Mariae Curie-Skłodowska. Sect. A, 57:1–10, 2003.
  1978S
Juliusz Paweł Schauder. Oeuvres, PWN-Éditions Scientifiques de Pologne, Warsaw, 1978. Sous la rédaction de Jan Kisyński, Władysław Orlicz, et Marceli Stark.
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