Victor M. Bogdan --- also known as --- Witold M. Bogdanowicz

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00. Logical dependence of the papers of this collection
01. (Presented by Stanisław Mazur) "Weak continuity of polynomial functionals on the space of sequences convergent to zero"  (in Russian with English translation) Bulletin de l'Academie Polonaise des Sciences 5 (1957):243-246

02. (Presented by Stanisław Mazur) "On singular integrals." Bulletin de l'Academie Polonaise des Sciences 5 (1957):247-249.

03. "Sur la methode de Banach appliquee a la demonstration de l'existence d'une function continue n'ayant nulle part de derivee et etant une convolution de functions continues." (in French with English appendix with a reference to a later paper on the subject.)  Colloquium Mathematicum 7 (1959):120-121.

04. "A theorem on consistency of integral methods of summability" (in Polish with expanded English translation and references). Prace Bieżące Instytutu Matematycznego PAN 3 (1959):22-24.

05. "A proof of L. Schwartz's theorem on kernels." Studia Mathematica 20 (1961):77-85.

06. (Communicated by M. M. Schiffer) "On the existence of almost periodic solutions for systems of ordinary nonlinear differential equations in Banach spaces." Archive for Rational Mechanics and Analysis, Springer-Verlag, Berlin, 13 (1963):364-370.

07. (Presented by Antoni Zygmund) "An approach to the theory of Lp spaces of Lebesgue - Bochner summable functions and generalized Lebesgue - Bochner - Stieltjes integral." Bulletin de l'Academie Polonaise des Sciences 13 (1965):793-800.

08. (Presented by Antoni Zygmund) "Integral representations of linear continuous operators on Lp spaces of Lebesgue - Bochner summable functions." Bulletin de l'Academie Polonaise des Sciences 13 (1965):801-807.

09. "On nowhere differentiable functions being a convolution of continuous functions." Proceedings of the American Mathematical Society 16 (1965):97-108.

10. (Communicated by Antoni Zygmund) "A generalization of the Lebesgue - Bochner - Stieltjes integral and a new approach to the theory of integration." Proceedings of the National Academy of Sciences USA 53 (1965): 492-498.

11. (Communicated by Antoni Zygmund) "Integral representation of linear continuous operators from the space of Lebesgue - Bochner summable functions into any Banach space." Proceedings of the National Academy of Sciences USA 54 (1965):351-354.

12. (Communicated by Antoni Zygmund) "Multilinear Lebesgue - Bochner - Stieltjes integral." Bulletin of the American Mathematical Society 72 (1966):232-236.

13. (Communicated by Antoni Zygmund) "Integral representations of multilinear continuous operators from the space of Lebesgue - Bochner summable functions into any Banach spaces." Bulletin of the American Mathematical Society 72 (1966):317-320.

14. "An approach to the theory of Lebesgue - Bochner measurable functions and to the theory of measure." Mathematische Annalen 164 (1966):251-269.

15. (Communicated by Kinjiro Kunugi) "Existence and uniqueness of extensions of volumes and the operation of completion of a volume." Proceedings of the Japan Academy 42 (1966):571-576.

16. (Communicated by Kinjiro Kunugi) "Fubini theorems for generalized Lebesgue -Bochner - Stieltjes integral" (appeared as supplement to vol. 41 (1965)). Proceedings of the Japan Academy 42 (1966):979-983.

17. (Communicated by Kinjiro Kunugi) "Integration on locally compact spaces generated by positive linear functionals defined on the space of continuous functions with compact support and the Riesz representation theorem, I." Proceedings of the Japan Academy 42 (1966):1033-1037.

18. (Communicated by Kinjiro Kunugi) "Integration on locally compact spaces generated by positive linear functionals defined on the space of continuous functions with compact support and the Riesz representation theorem, II." Proceedings of the Japan Academy 42 (1966):1038-1043.

19. (Communicated by Kinjiro Kunugi) "Representations of linear continuous functionals on the space C(X, Y) of continuous functions from compact X into locally convex Y." Proceedings of the Japan Academy 42 (1966):1122-1127.

20. (Communicated by Antoni Zygmund) "On volumes generating the same Lebesgue - Bochner integration." Proceedings of the National Academy of Sciences USA 56 (1966):1399-1405.

21. Jointly with  John N. Welch (Presented by Antoni Zygmund) "Vectorial integration and extensions of vector-valued volumes to measures of finite variation of q-power." Bulletin de l'Academie Polonaise des Sciences 15 (1967):87-93.

22.  Jointly with  Brian Kritt (Presented by Antoni Zygmund) "Radon - Nikodym differentiation of one vector-valued volume with respect to another." Bulletin de l'Academie Polonaise des Sciences 15 (1967):479-486.

23. "An approach to the theory of integration and theory of Lebesgue - Bochner measurable functions on locally compact spaces." Mathematische Annalen 171 (1967):219-238.

24.  Jointly with  John N. Welch "On a linear operator connected with almost periodic solutions of  linear differential equations in Banach spaces." Mathematische Annalen 172 (1967):327-335.

25. "An approach to the theory of integration generated by Daniell functionals and representations of linear continuous functionals." Mathematische Annalen 173 (1967):34-52.

26. (Communicated by Kinjiro Kunugi) "An approach to the theory of integration generated by positive linear functionals and existence of minimal extensions." Proceedings of the Japan Academy 43 (1967):186-191.

27. (Communicated by Kinjiro Kunugi) "Relations between complete integral semi-norms and complete volumes." Proceedings of the Japan Academy 43 (1967):286-289.

28. (Communicated by Kinjiro Kunugi) "Relations between volumes and measures." Proceedings of the Japan Academy 43 (1967):290-294.

29. "Lebesgue - Bochner type spaces of group-valued summable functions and abstract integrals." Queen's Papers in Pure and Applied Mathematics 10 (1967):205-208.

30.  Jointly with Brian Kritt "Vectorial integration and extensions of vector volumes." Queen's Papers in Pure and Applied Mathematics 10 (1967):209-212.

31. Jointly with Martha Mattamal "Axiomatic characterization of Lebesgue integrals." Queen's Papers in Pure and Applied Mathematics 10 (1967):212-216.

32. Jointly with  John N. Welch "Integration generated by orthogonal volumes and extensions of orthogonal volumes to orthogonal measures." Queen's Papers in Pure and Applied Mathematics 10 (1967):216-219.

33.  Jointly with  John N. Welch  (Presented by Antoni Zygmund) "Integration generated by orthogonal volumes and extensions of orthogonal volumes to orthogonal measures." Bulletin de l'Academie Polonaise des Sciences 16 (1968):401-407.

34. Jointly with Brian Kritt (Presented by Antoni Zygmund) "Vectorial integration and extensions of absolutely continuous vector volumes." Bulletin de l'Academie Polonaise des Sciences 16 (1968):497-504.

35. "Relations between the Lebesgue integral generated by a measure and the integral generated by a volume." Commentationes Mathematicae 12 (1969):277-299.

36. "Analytic continuation of holomorphic functions with values in a locally convex space." Proceedings of the American Mathematical Society 22 (1969):660-666.

37. (Communicated by Edward  J. McShane) "Theory of a class of locally convex vector lattices which include the Lebesgue spaces." Proceedings of the National Academy of Sciences USA 66 (1970):275-281.

38.  Jointly with  John N. Welch (Presented by Antoni Zygmund) "Integration generated by projective volumes over Hilbert spaces." Bulletin de l'Academie Polonaise des Sciences 19 (1971):49-57.

39. Jointly with Anderson, D.R.,  (Presented by Karol Borsuk) "On existence of unique solutions to some functional integro-differential equations in Banach spaces." Bulletin de l'Academie Polonaise des Sciences 19 (1971):59-66.

40.  Jointly with  John N. Welch (Presented by Antoni Zygmund) "Integration generated by a volume being the sum of volumes with an application to spectral integrals." Bulletin de l'Academie Polonaise des Sciences 19 (1971):719-726.

41. (Presented by Antoni Zygmund) "Locally convex lattices of functions in which Lebesgue type theory can be developed." Bulletin de l'Academie Polonaise des Sciences 19 (1971):731-735.

42. (Presented by Władysław Orlicz) "Infinite multiplicative products of Banach spaces and infinitely linear bounded continuous operators." Bulletin de l'Academie Polonaise des Sciences 19 (1971):737-742.

43. (Presented by Władysław Orlicz) "Minimal extension of Daniell functionals to Lebesgue and Daniell - Stone integrals." Bulletin de l'Academie Polonaise des Sciences 19 (1971):1093-1100.

44. (Presented by Władysław Orlicz) "Measurability and linear lattices of real functions closed under convergence everywhere." Bulletin de l'Academie Polonaise des Sciences 20 (1972):981-986.

45. (Presented by Władysław Orlicz)  "Multipliers for a linear lattice of functions closed under pointwise convergence." Bulletin de l'Academie Polonaise des Sciences 20 (1972):987-989.

46. (Presented by Władysław Orlicz)  "The smallest P-linear lattice of functions extending a D-linear lattice." Bulletin de l'Academie Polonaise des Sciences 21 (1973):9-16.

47. "Daniell and Daniell - Bochner type integrals." In Vector and Operator Valued Measures and Applications, Academic Press, Inc., 1 (1973):43-50.

48.  Jointly with  John N. Welch "Extensions of projective volumes to projective measures." Commentationes Mathematicae 17 (1974):313-320.

49.  Jointly with  John N. Welch "Integration generated by a volume which is an infinite sum of volumes." Commentationes Mathematicae 17 (1974):321-334.

50. (Presented by Władysław Orlicz)  "Characterizations of linear lattices of functions closed under dominated convergence." Bulletin de l'Academie Polonaise des Sciences 23 (1975):525-530.

51. (Presented by Władysław Orlicz)  "The largest linear lattice of functions in which a D-linear lattice forms a solid subset." Bulletin de l'Academie Polonaise des Sciences 23 (1975):531-536.

52. (Presented by Władysław Orlicz)  "Necessary and sufficient conditions for one D-linear lattice to be solid in another." Bulletin de l'Academie Polonaise des Sciences 23 (1975):537-541.

53. Jointly with Richard A. Oberle "Decompositions of finitely additive vector measures generated by bands of finitely additive scalar measures." Illinois Journal of Mathematics 19 (1975):370-377.

54. Bogdan, V.M., "A new approach to the theory of probability via algebraic categories." In Measure Theory, Lecture Notes in Mathematics, Springer-Verlag, 541 (1975):345-367.

55. Bogdan, V.M., and Oberle, R.A., "Topological rings of sets and the theory of vector measure." Dissertationes Mathematicae 154 (1977):1-70 (Monograph).

56. Bogdan, V.M., and Bond, V., "Application of functional analysis to perturbation theory of differential equations." Johnson Space Center, NASA, Publication 80-FM-21 (1980):1-18.

57. Bogdan, V.M., (Communicated by Stan M. Ulam) "Computer simulation of n-random variables with arbitrary joint probability distribution through their representation over the Lebesgue unit cube." International Journal of Mathematical Modelling, Pergamon Press 2 (1981):71-96.

58. Bogdan, V.M., "Existence and uniqueness of solutions for a class of non-linear - operator - differential equations arising in automatic spaceship navigation," NASA, Scientific and Technical Information Branch, Technical Paper 1860, May (1981):1-18.

59. Bogdan, V.M., "Computer simulation of random variables and vectors with arbitrary probability distribution laws." NASA, Scientific and Technical Information Branch, Technical Paper 1859, May (1981):1-40.

60. Bogdan, V.M., "Existence and uniqueness of solutions to nonlinear - operator - differential equations generalizing dynamical systems of automatic spaceship navigation." Nonlinear Phenomena in Mathematical Sciences, Academic Press, (1982):123-136

61. Bogdan, V.M., (Submitted by Gian-Carlo Rota) "Existence of solutions to differential equations of relativistic mechanics involving Lorentzian time delays." Journal of Mathematical Analysis and Applications, Academic Press, 118, No. 2, September (1986):561-573.

62. Bogdan, V.M., "Nonanticipating operator-differential equations in the class of Bochner measurable functions and existence of optimal controls." Differential Equations and Applications, Ohio University Press, Athens, Ohio, 1 (1988):78-82.

63. Bogdan, V.M., "On Frobenius, Mazur, and Gelfand-Mazur Theorems on Division Algebras." Quaestiones Mathemacae, 29(2006):171-209.

64. Bogdan, V.M., "Feynman's Electromagnetic Fields Induced by Moving Charges and the Existence and Uniqueness of Solutions to the N-Body Problem of Electrodynamics" Quaestiones Mathemacae, vol.32, No.4,(2009):435-522.

65. Bogdan, V.M., "Fields Generated by a Moving Relativistic Point Mass and Mathematical Correction to Feynman’s Law." http://arXiv.org/abs/0909.5240, September 2009, 58 pages.

66. Bogdan, V.M., "Electromagnetic Field Generated by Plasma Flows and Feynman and Lienard-Wiechert Formulas for a Moving Point Charge." http://arXiv.org/abs/0910.0274, November 2009, 9 pages.

67. Bogdan, V.M., "Relativistic Gravity Fields and Electromagnetic Fields Generated by Flows of Matter." http://arXiv.org/abs/0910.0538, November 2009, 13 pages.

68. Bogdan, V.M., "On Henri Cartan's Vectorial Mean-Value Theorem and Its Applications to Lipschitzian Operators and Generalized Lebesgue-Bochner-Stieltjes Integration Theory." http://arXiv.org/abs/0910.2277, November 2009, 35 pages.

69. Bogdan, V.M., "NASA's Satellite Orbit Anomaly Problem Can Be Solved Precisely in the Frame of Einstein's Special Theory of Relativity. Anomaly Confirms That Gravity Fields Propagate with Velocity of Light as Einstein Predicted." http://arXiv.org/abs/0910.3244, November 2009, 9 pages.

70. Bogdan, V.M., "The Existence and Uniqueness of Solutions to N-Body Problem of Electrodynamics." http://arXiv.org/abs/0909.1493, September 2009, 3 pages.

71. Bogdan, V.M., "Representation of fields associated with any moving point mass by means of fundamental fields corresponding to its trajectory in the frame of Einstein's special theory of relativity" http://arXiv.org/abs/1003.0442, March 2010, 14 pages.

72. Bogdan, V.M., "Generalized vectorial Lebesgue and Bochner integration theory" http://arXiv.org/abs/1006.3881, June 2010, 86 pages.