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001437179 001__ 1437179
001437179 003__ OCoLC
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001437179 019__ $$a1253473777$$a1265407058$$a1284936604
001437179 020__ $$a9783030737184$$q(ebook)
001437179 020__ $$a3030737187$$q(ebook)
001437179 020__ $$z3030737179$$q(print)
001437179 020__ $$z9783030737177$$q(print)
001437179 0247_ $$a10.1007/978-3-030-73718-4$$2doi
001437179 035__ $$aSP(OCoLC)1255234033
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001437179 049__ $$aISEA
001437179 050_4 $$aQA351
001437179 08204 $$a515/.9$$223
001437179 1001_ $$aN'Guerekata, Gaston M.,$$d1953-$$eauthor.
001437179 24510 $$aAlmost periodic and almost automorphic functions in abstract spaces /$$cGaston M. N'Guérékata.
001437179 250__ $$a2nd ed.
001437179 260__ $$aCham :$$bSpringer,$$c2021.
001437179 300__ $$a1 online resource (137 pages)
001437179 336__ $$atext$$btxt$$2rdacontent
001437179 337__ $$acomputer$$bc$$2rdamedia
001437179 338__ $$aonline resource$$bcr$$2rdacarrier
001437179 504__ $$aIncludes bibliographical references.
001437179 5050_ $$a1. Introduction and Preliminaries -- 2. Almost Automorphic Functions -- 3. Almost Automorphy of the Function f(t, x) -- 4. Differentiation and Integration -- 5. Pseudo Almost Automorphy -- 6. Stepanov-like Almost Automorphic Functions -- 7. Dynamical Systems and C0-Semigroups -- 8. Almost Periodic Functions with Values in a Locally Convex Space -- 9. Almost Period Functions with Values in a Non-Locally Convex Space -- 10. The Equation x'(t)=A(t)x(t)+f(t) -- 11. Almost Periodic Solutions of the Differential Equation in Locally Convex Spaces -- Bibliography.
001437179 506__ $$aAccess limited to authorized users.
001437179 520__ $$aThis book presents the foundation of the theory of almost automorphic functions in abstract spaces and the theory of almost periodic functions in locally and non-locally convex spaces and their applications in differential equations. Since the publication of Almost automorphic and almost periodic functions in abstract spaces (Kluwer Academic/Plenum, 2001), there has been a surge of interest in the theory of almost automorphic functions and applications to evolution equations. Several generalizations have since been introduced in the literature, including the study of almost automorphic sequences, and the interplay between almost periodicity and almost automorphic has been exposed for the first time in light of operator theory, complex variable functions and harmonic analysis methods. As such, the time has come for a second edition to this work, which was one of the most cited books of the year 2001. This new edition clarifies and improves upon earlier materials, includes many relevant contributions and references in new and generalized concepts and methods, and answers the longtime open problem, "What is the number of almost automorphic functions that are not almost periodic in the sense of Bohr?" Open problems in non-locally convex valued almost periodic and almost automorphic functions are also indicated. As in the first edition, materials are presented in a simplified and rigorous way. Each chapter is concluded with bibliographical notes showing the original sources of the results and further reading
001437179 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 14, 2021).
001437179 650_0 $$aAutomorphic functions.
001437179 650_0 $$aAlmost periodic functions.
001437179 650_0 $$aAlgebra, Abstract.
001437179 650_6 $$aFonctions automorphes.
001437179 650_6 $$aFonctions presque périodiques.
001437179 650_6 $$aAlgèbre abstraite.
001437179 655_0 $$aElectronic books.
001437179 77608 $$iPrint version:$$aN'Guérékata, Gaston M.$$tAlmost Periodic and Almost Automorphic Functions in Abstract Spaces$$dCham : Springer International Publishing AG,c2021$$z9783030737177
001437179 852__ $$bebk
001437179 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-73718-4$$zOnline Access$$91397441.1
001437179 909CO $$ooai:library.usi.edu:1437179$$pGLOBAL_SET
001437179 980__ $$aBIB
001437179 980__ $$aEBOOK
001437179 982__ $$aEbook
001437179 983__ $$aOnline
001437179 994__ $$a92$$bISE