Bogdan Ziemian (1953-1997)

Bojarski, Bogdan ; Łojasiewicz, Stanisław ; Łysik, Grzegorz ; Szmydt, Zofia

Annales Polonici Mathematici, Tome 75 (2000), p. 1-11 / Harvested from The Polish Digital Mathematics Library

Détail

Publié le : 2000-01-01

Zbl 0959.01020

EUDML-ID : urn:eudml:doc:208365

Bibliographie

[000] [1] The group G of proper Lorentz transformations and G-invariant distributions, Appendix in: Z. Szmydt, Fourier Transformations and Linear Differential Equations, PWN, Warszawa, and Reidel, Dordrecht, 1977, 464-471.

[001] [2] On distributions invariant with respect to some linear transformations, Ann. Polon. Math. 36 (1979), 261-276. | Zbl 0335.46026

[002]

[003] [4] On G-invariant distributions, J. Differential Equations 35 (1980), 66-86.

[004] [5] Special solutions of the equations Pu = 0, Pu = δ for invariant linear differential operators with polynomial coefficients (with Z. Szmydt), J. Differential Equations 39 (1981), 226-256. | Zbl 0455.34006

[005] [6] Distributions invariant under compact Lie groups, Ann. Polon. Math. 42 (1983), 175-183. | Zbl 0541.58007

[006] [7] Fundamental solution for operators preserving a quadratic form (with Z. Szmydt), ibid., 369-386.

[007] [8] A method for constructing invariant fundamental solutions for invariant operators (with Z. Szmydt), in: Proc. Conf. Convergence and Generalized Functions (Kato- wice, 1983), IM PAN, Warszawa, 1984, 149-155.

[008] [9] A method for constructing invariant fundamental solutions for $P(Δ_m)$ (with Z. Szmydt), Zeszyty Naukowe Politechniki Śląskiej Ser. Mat.-Fiz. 48 (1986), 147-164.

[009] [10] Explicit invariant solutions for invariant linear differential operators (with Z. Szmydt), Proc. Roy. Soc. Edinburgh 98 (1984), 149-166.

[010] [11] Local order function for homogeneous rotation invariant distributions and their multiplication (with Z. Szmydt), Ann. Univ. Mariae Curie-Skłodowska Sect. A 38 (1984), 139-143.

[011] [12] A Taylor type decomposition for distributions in one dimension, Bull. Polish Acad. Sci. Math. 32 (1984), 143-155. | Zbl 0573.46020

[012] [13] An analysis of microlocal singularities of functions and distributions on the real line, ibid., 157-164. | Zbl 0584.46027

[013] [14] The derivative of a measurable function and of a distribution at a point and its basic properties, ibid., 165-177. | Zbl 0585.46032

[014] [15] An invariance method for constructing fundamental solutions for $P(□_mn)$ (with Z. Szmydt), Ann. Polon. Math. 46 (1985), 333-360.

[015] [16] Singular ordinary differential equations on spaces of singular test functions with applications to invariant partial differential operators (with Z. Szmydt), in: Proc. Conf. Differential Equations and Applications (Rousse, 1985), 1987, 955-958.

[016] [17] The Mellin transformation and microlocal singularities of distributions, %Proc. Conf. Diff. Equ. Appl. Rousse 1985, (1987), ibid., 1005-1008.

[017] [18] Invariant fundamental solution of the wave operator (with Z. Szmydt), Demonstratio Math. 19 (1986), 371-386. | Zbl 0653.35048

[018] [19] Taylor formula for distributions in several dimensions, Bull. Polish Acad. Sci. Math. 34 (1986), 277-286. | Zbl 0632.46033

[019] [20] Multidimensional Mellin transformation and partial differential operators with regular singularity (with Z. Szmydt), ibid. 35 (1987), 167-180. | Zbl 0666.35038

[020] [21] Mellin analysis of singularities (with G. Łysik), in: Proc. Internat. Summer School on Nonlinear Differential Equations (Varna, 1987).

[021] [22] Solutions of singular elliptic equations via the Mellin transformation on sets of high order of tangency to the singular lines (with Z. Szmydt), Bull. Polish Acad. Sci. Math. 36 (1988), 521-535. | Zbl 0777.35025

[022] [23] Taylor formula for distributions, Dissertationes Math. (Rozprawy Mat.) 264 (1988) | Zbl 0685.46025

[023] [24] The Mellin transformation and multidimensional generalized Taylor expansions of singular functions, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 36 (1989), 263-295. | Zbl 0713.46025

[024] [25] Local existence and regularity of solutions of singular elliptic operators on manifolds with corner singularities (with Z. Szmydt), J. Differential Equations 83 (1990), 1-25. | Zbl 0702.35105

[025] [26] Mean value theorems for linear and semi-linear rotation invariant operators, Ann. Polon. Math. 51 (1990), 341-348. | Zbl 0726.34008

[026] [27] Generalized Taylor expansions and theory of resurgent functions of Jean Ecalle, in: Proc. Conf. Generalized Functions and Convergence (Katowice, 1988), World Sci., 1990, 285-295.

[027] [28] Second microlocalization and the Mellin transformation (with H. Kołakowski), Publ. Res. Inst. Math. Sci. % Kyoto University, 26 (1990), 785-801.

[028] [29] Continuous radial asymptotics for solutions to elliptic Fuchsian equations in 2-dimensions, in: Proc. Sympos. Microlocal Analysis and Its Applications (Kyoto, 1990), Sûrikaisekikenkyûsho Kôkyûroku 750, Kyoto, 1991, 3-19.

[029] [30] The modified Cauchy transformation with applications to generalized Taylor expansions, Studia Math. 102 (1992), 1-24. | Zbl 0815.46035

[030] [31] Characterization of Mellin distributions supported by certain noncompact sets (with Z. Szmydt), ibid., 25-38.

[031] [32] Elliptic corner operators in spaces with continuous radial asymptotics I, J. Differential Equations 101 (1993), 28-57. | Zbl 0777.47028

[032] [33] Elliptic corner operators in spaces with continuous radial asymptotics II, in: Partial Differential Equations, Banach Center Publ. 27, IM PAN, Warszawa, 1992, 555-580. | Zbl 0813.47061

[033] [34] The Mellin Transformation and Fuchsian Type Partial Differential Equations (with Z. Szmydt), Math. Appl. 56, Kluwer, Dordrecht, 1992.

[034] [35] Leray residue formula and asymptotics of solutions to constant coefficient PDEs, Topol. Methods Nonlinear Anal. 3 (1994), 257-293. | Zbl 0813.47060

[035] [36] Mellin analysis of singular and non-linear PDEs, in: Proc. Conf. Equadiff 8 (Bratislava, 1993), Tatra Mt. Math. Publ. 4 (1994), 243-248.

[036] [37] Exact radial asymptotics of solutions to singular elliptic differential equations (with G. Łysik), in: Proc. Fifth Internat. Colloquium on Differential Equations (Plovdiv, 1994), VSP, Utrecht, 1995, 213-221.

[037] [38] Between the Paley-Wiener theorem and the Bochner tube theorem (with Z. Szmydt), Ann. Polon. Math. 60 (1995), 299-304. | Zbl 0830.46034

[038] [39] Generalized analytic functions with applications to singular ordinary and partial differential equations, Dissertationes Math. (Rozprawy Mat.) 354 (1996).

[039] [40] A remark on Nilsson type integrals (with Nguyen Si Minh), in: Singularities and Differential Equations, Banach Center Publ. 33, IM PAN, Warszawa, 1996, 277-285.

[040] [41] Uogólnione funkcje analityczne z zastosowaniami [Generalized analytic functions with applications] (with G. Łysik), Wiadom. Mat. 32 (1996), 15-25 (in Polish).

[041] [42] Borel resummation of formal solutions to nonlinear Laplace equations in 2 variables (with M. E. Pliś), Ann. Polon. Math. 67 (1997), 31-41.

[042] [43] Laplace distributions and hyperfunctions on $\overline{ℝ}^{n}_{+}$ (with Z. Szmydt), J. Math. Sci. Tokyo Univ. 5 (1998), 41-74.

[043] [44] Topological imbedding of Laplace distributions in Laplace hyperfunctions (with Z. Szmydt), Dissertationes Math. (Rozprawy Mat.) 376 (1998). | Zbl 0917.46037

[044] [45] Convolution equations in the space of Laplace distributions (with M. E. Pliś), Ann. Polon. Math. 69 (1998), 271-181.

[045] [46] On extendability of invariant distributions, posthumous, this volume, 13-25. Bogdan Ziemian's preprints

[046] [P1] 20 lectures on ordinary and partial differential equations. Geometric methods of complex analysis, preprint, IM PAN, Warszawa, 1992.

[047] [P2] Holomorphic regularization of meromorphic functions, preprint, Université de Tours, 1996.

[048] [P3] Unfinished notes of Bogdan Ziemian, preprint, IM PAN, Warszawa, 2000. Other references

[049] [R1] H. Kołakowski, Mellin analysis of partial differential equations in papers of B. Ziemian, this volume, 27-33. | Zbl 0962.35007

[050] [R2] G. Łysik, Generalized analytic functions of Bogdan Ziemian, this volume, 35-41. | Zbl 0959.34004

[051] [R3] G. Łysik, Laplace integrals in partial differential equations in papers of Bogdan Ziemian, this volume, 43-50. | Zbl 0967.35005