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Tytuł książki

Some problems concerning different types of vector valued almost periodic functions

Autorzy

Bolis Basit

Seria

Rozprawy Matematyczne tom/nr w serii: 338 wydano: 1995

Zawartość

Pełne teksty:
rm33801.pdf

Warianty tytułu

Abstrakty

EN

Abstract
We study some problems concerning derivatives and indefinite integrals of elements of wide classes of functions (including almost periodic, recurrent, almost automorphic and Eberlein almost periodic functions). We introduce a notion of a spectrum of a function with respect to a class of functions. This notion enables us to investigate almost periodicity of the bounded solutions of certain functional equations.

Słowa kluczowe

Tematy

Kategoryzacja MSC:

Wydawca

Instytut Matematyczny Polskiej Akademii Nauk

Miejsce publikacji

Warszawa

Copyright

Seria

Rozprawy Matematyczne tom/nr w serii: 338

Liczba stron

26

Liczba rozdzia³ów

Opis fizyczny

Dissertationes Mathematicae, Tom CCCXXXVIII

Daty

wydano
1995
otrzymano
1992-12-08
poprawiono
1994-06-29

Twórcy

autor
Bolis Basit
bbasit@vaxc.cc.monash.edu.au
  • Department of Mathematics, Monash University, Clayton, Victoria 3168, Australia

Bibliografia

  • [1] L. Amerio and G. Prouse, Almost-periodic Functions and Functional Equations, Van Nostrand, New York, 1971.
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  • [3] B. Basit, Generalization of two theorems of M. I. Kadets concerning the indefinite integral of abstract almost periodic functions, Math. Notes 9 (1971), 181-186.
  • [4] B. Basit, Note on a theorem of Levitan for the integral of almost periodic functions, Rend. Istit. Mat. Univ. Trieste 5 (1) (1973), 9-14.
  • [5] B. Basit, Spectral characterization of abstract functions, An. Ştiinţ. Univ. "Al. I. Cuza" Iaşi Secţ. I a Mat. 28 (1) (1982), 25-34.
  • [6] B. Basit, On the indefinite integral of abstract functions, ibid. 29 (3) (1983), 49-54.
  • [7] B. Basit and M. Emam, Differences of functions in locally convex spaces and applications to almost periodic and almost automorphic functions, Ann. Polon. Math. 61 (1983), 193-201.
  • [8] B. Basit and V. V. Zhikov, Almost periodic solutions of integro-differential equations in Banach spaces, Moscow Univ. Math. Bull. 26 (1) (1971), 79-81.
  • [9] A. G. Baskakov, Spectral criteria for almost periodicity of solution of functional equations, Math. Notes 24 (1978), 606-612.
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  • [40] W. Rudin, Harmonic Analysis on Groups, Interscience, New York, London, 1962.
  • [41] W. M. Ruess and W. H. Summers, Weakly almost periodicity and the strong ergodic limit theorem for contraction semigroups, Israel J. Math. 64 (2) (1988), 139-157.
  • [42] W. M. Ruess and W. H. Summers, Integration of asymptotically almost periodic functions and weak asymptotic almost periodicity, Dissertationes Math. 279 (1989).
  • [43] W. M. Ruess and W. H. Summers, Ergodic theorems for semigroups of operators, Proc. Amer. Math. Soc. 114 (2) (1992), 423-432.
  • [44] W. A. Veech, Almost automorphic functions on groups, Amer. J. Math. 87 (1965), 719-751.
  • [45] Vũ Quôc Phóng and Yu. I. Lyubich, A spectral criterion of asymptotic almost periodicity for uniformly continuous representations of abelian groups, J. Soviet Math. 51 (1990), 1263-1266.
  • [46] T. Yoshizawa, Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions, Appl. Math. Sci. 14, Springer, 1975.
  • [47] K. Yosida, Functional Analysis, Springer, 1965.

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bwmeta1.element.zamlynska-58bbf638-5c70-4aa4-889d-5bbd317350b5

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ISSN
0012-3862

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DML-PL
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