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Tytuł książki

Spaces of D-paraanalytic elements

Autorzy

D. Przeworska-Rolewicz

Seria

Rozprawy Matematyczne tom/nr w serii: 302 wydano: 1989-12-27

Zawartość

Pełne teksty:
rm30201.pdf

Warianty tytułu

Abstrakty

EN

CONTENTS
Introduction..............................................................................5
1. Preliminaries........................................................................5
2. Spaces of smooth elements.................................................8
3. Spaces of D-analytic elements...........................................21
4. Spaces of D-paraanalytic elements....................................32
5. Characterization of .D-paraanalytic elements by means of property (c) and canonical mappings.............39
6. D-R paraanalytic functions .................................................47
7. Smooth elements in Leibniz D-algebras..............................59
8. Weak E-solutions................................................................63
9. Linear systems with scalar coefficients...............................79
10. Linear boundary value problems .....................................82
References.............................................................................97

Słowa kluczowe

Tematy

Kategoryzacja MSC:

Wydawca

Instytut Matematyczny Polskiej Akademii Nauk

Miejsce publikacji

Warszawa

Copyright

Seria

Rozprawy Matematyczne tom/nr w serii: 302

Liczba stron

99

Liczba rozdzia³ów

Opis fizyczny

Dissertationes Mathematicae, Tom CCCII

Daty

wydano
1989-12-27
otrzymano
1988-08-18

Twórcy

autor
D. Przeworska-Rolewicz
  • Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Bibliografia

  • [Bers 1] L. Bers, Theory of Pseudoanalytic Functions, Courant Institute, New York 1953.
  • [Binderman 1] Z. Binderman, Boundary value problems for generalized analytic functions, Zeszyty Nauk. Politech. Łódź. (to appear).
  • [Binderman 2] Z. Binderman, Some properties of operators of complex differentiation and shifts, ibid, (to appear).
  • [Binderman 3] Z. Binderman, Complex R-shifts for right invertible operators, Demonstratio Math. 23 (1990).
  • [Binderman 4] Z. Binderman, On some properties of complex R-shifts, ibid, (to appear).
  • [Dudek 1] Z. Dudek, On decompositions of quasi-Leibniz D-R algebras, Demonstratio Math. 14 (1981), 745-757.
  • [Dzhrbashyan Saakyan 1] M. M. Dzhrbashyan and B. A. Saakyan, Classes of formulae and expansions of Taylor-Maclaurin type associated with differential operators of fractional order, Izv. Akad. Nauk SSSR Ser. Mat. 39 (1975), 69-122 (in Russian).
  • [Eidelheit 1] M. Eidelheit, Zur Theorie der Systeme linearer Gleichungen, Studia Math. 6 (1936), 139-148.
  • [Fage 1] M. K. Fage, Operator-analytic functions of one independent variable, Trudy Moskov. Mat. Obshch. 7 (1958), 227-268 (in Russian).
  • [Fage Nagnibida 1] M. K. Fage and N. I. Nagnibida, Equivalence Problem for Ordinary Linear Differential Operators, Nauka, Novosibirsk 1987 (in Russian).
  • [Karwowski 1] W.Z. Karwowski, Nonlinear boundary value problems with right invertible operators, Ph. D. diss., Institute of Mathematics, Technical University of Warsaw, Warszawa 1988 (in Polish).
  • [Karwowski Przeworska-Rolewicz 1] W. Z. Karwowski and D. Przeworska-Rolewicz, Green operators for linear boundary value problems with a right invertible operator $D^N$, preprint, Institut für Statistik und Math. Wirtschaftstheorie, Universität Karlsruhe, 1989, Math. Nachr. (to appear).
  • [Karwowski Przeworska-Rolewicz 2] W. Z. Karwowski and D. Przeworska-Rolewicz, General linear boundary value problems for polynomials in a right invertible operator, Demonstratio Math, (to appear).
  • [Kornacki 1] H. Kornacki, Linear equations with right invertible operators and their right inverses in spaces of Dirichlet series, Ph. D. diss., Institute of Mathematics, Technical University of Warsaw, Warszawa 1988 (in Polish).
  • [Lausch Przeworska-Rolewicz 1] H. Lausch and D. Przeworska-Rolewicz, Pseudocategories, paraalgebras and linear operators, Math. Nachr. 138 (1988), 67-82.
  • [Lausch Przeworska-Rolewicz 2] H. Lausch and D. Przeworska-Rolewicz, Some functional equations appearing in algebraic analysis, Algebra Paper No. 120, Dept. of Math., Monash University, Clayton, September 1989; Opuscula Math, (to appear).
  • [Mandelbrojt 1] S. Mandelbrojt, Analytic Functions and Classes of Infinitely Differentiable Functions, The Rice Institute Pamphlet 29, 2, Houston, Texas, 1942.
  • [Meise Taylor 1] R. Meise and B. A. Taylor, Each nonzero convolution operator on the entire functions admits a continuous right inverse, Math. Z. 197 (1988), 139-152.
  • [Mikhlin 1] S. G. Mikhlin, Singular integral equations, Uspekhi Mat. Nauk 3 (1948), 29-112 (in Russian).
  • [Mau 1] Nguyen Van Mau, Interpolation problems induced by right and left invertible operators and their applications to singular integral equations, Demonstratio Math. 23 (1990).
  • [Mau 2] Nguyen Van Mau, On ill-determined equations in right invertible operator of order one with non-commutative coefficients, Math. Nachr. 147 (1990), 81-91.
  • [Mau 3] Nguyen Van Mau, Generalized Algebraic Elements and Linear Singular Integral Equations with Transformed Argument, Wydawnictwa Politechniki Warszawskiej, Warszawa 1989.
  • [Mau 4] Nguyen Van Mau, Properties of generalized almost inverses, Demonstratio Math, (to appear).
  • [Mau 5] Nguyen Van Mau, Characterization of Volterra right inverses, Opuscula Math, (to appear).
  • [Mau 6] Nguyen Van Mau, Remarks on initial value problems for equations with right invertible operators, preprint No. 451, Institute of Mathematics, Polish Acad. Sci., Warszawa 1989.
  • [Mau 7] Nguyen Van Mau, Boundary and mixed boundary value problems for equations with right invertible operators, Preprint No. 465, Institute of Mathematics, Polish Acad. Sci., Warszawa 1990.
  • [Polozhin 1] G. N. Polozhin, Generalization of the Theory of Analytic Functions of a Complex Variable, Izd. Kiev. Univ., Kiev 1965 (in Russian)
  • [Przeworska-Rolewicz 1] D. Przeworska-Rolewicz, Algebraic Analysis, PWN - Polish Scientific Publishers and D. Reidel, Warszawa-Dordrecht 1987.
  • [Przeworska-Rolewicz 2] D. Przeworska-Rolewicz, Remarks on $D_∞$-spaces, in: Proc. Intern. Conf. "Function Spaces", Poznań, August 1986, Teubner Texte zur Math. 103, Akademie-Verlag, Leipzig 1988, 178-185.
  • [Przeworska-Rolewicz 3] D. Przeworska-Rolewicz, Smooth solutions of linear equations with scalar coefficients in a right invertible operator, in: Optimization, Parallel Processing and Applications, Proc. Oberwolfach and Karlsruhe 1987, Lecture Notes in Econom. and Math. Systems 304, Springer, Berlin 1988, 232-260.
  • [Przeworska-Rolewicz 4] D. Przeworska-Rolewicz, Property (c) and interpolation formulae induced by right invertible operators, Demonstratio Math. 21 (1988), 1023-1044.
  • [Przeworska-Rolewicz 5] D. Przeworska-Rolewicz, Advantages of one-dimensional kernels, Math. Nachr. 148 (1990), 143-158.
  • [Przeworska-Rolewicz 6] D. Przeworska-Rolewicz, Linear boundary value problems, preprint No. 413, Institute of Mathematics, Polish Acad. Sci., Warszawa 1988.
  • [Przeworska-Rolewicz 7] D. Przeworska-Rolewicz, Remarks on multipliers for right inverses in D-algebras, preprint No. 446, Institute of Mathematics, Polish Acad. Sci., Warszawa 1989; Demonstratio Math. 23 (1990).
  • [Przeworska-Rolewicz 8] D. Przeworska-Rolewicz, A priori determined properties of solutions to linear equations, preprint No. 458, Institute of Mathematics, Polish Acad. Sci., Warszawa 1989.
  • [Przeworska-Rolewicz 9] D. Przeworska-Rolewicz, Some properties of D-paraanalytic elements, preprint, Institut für Statistik und Math. Wirtschaftstheorie, Universität Karlsruhe, 1989.
  • [Przeworska-Rolewicz 10] D. Przeworska-Rolewicz, Commutators with right invertible operators, preprint, Institut für Statistik und Math. Wirtschaftstheorie, Universität Karlsruhe, 1989; J. Math. Anal. Appl. (to appear).
  • [Przeworska-Rolewicz 11] D. Przeworska-Rolewicz, True shifts (in preparation).
  • [Przeworska-Rolewicz Rolewicz 1] D. Przeworska-Rolewicz and S. Rolewicz, On the spectrum of right inverses, preprint No. 447, Institute of Mathematics, Polish Acad. Sci., Warszawa 1989; Demonstratio Math. 23 (1990).
  • [Rogulski 1] J. S. Rogulski, Contributions to the theory of paraanalytic functions, Demonstratio Math. 21 (1988), 1003-1022.
  • [Rolewicz 1] S. Rolewicz, Metric Linear Spaces, second enlarged ed., PWN - Polish Scientific Publishers and D. Reidel, Warszawa-Dordrecht 1984.
  • [Shtokalo 1] I. Z. Shtokalo, Linear Differential Equations with Variable Coefficients, Hindustan Publ. Corp., Delhi 1961.
  • [Tasche 1] M. Tasche, Funktionalanalytische Methoden in der Operatorenrechnung, Nova Acta Leopoldina 49, Halle (Salle) 1979.
  • [Tasche 2] M. Tasche, A unified approach to interpolation methods, J. Integral Equations 4 (1982), 55-75.
  • [von Trotha 1] H. H. von Trotha, Structure properties of D-R spaces, Dissertationes Math. 180 (1981).
  • [Vekua 1] I. I. N. Vekua, Generalized Analytic Functions, Nauka, Moscow 1959 (in Russian).
  • [Vich 1] R. Vich, Z Transform Theory and its Applications, D. Reidel, Dordrecht 1987.
  • [Whitley 1] R. Whitley, The spectrum of a Volterra decomposition operator, Integral Equations Operator Theory 10 (1987), 146-149.

Języki publikacji

EN

Uwagi

1985 Mathematics Subject Classification: 47B99, 47E05, 26E20

Identyfikator YADDA

bwmeta1.element.zamlynska-5a511669-2f9c-4539-8b66-fda9c0b6b613

Identyfikatory

ISBN
83-85116-01-X
ISSN
0012-3862

Kolekcja

DML-PL
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