A. G. Baskakov, “Harmonic and Spectral Analysis of Power Bounded Operators and Bounded Semigroups of Operators on Banach Spaces”, Mat. Zametki, 97:2 (2015), 174–190; Math. Notes, 97:2 (2015), 164

Matematicheskie Zametki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Zametki:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Matematicheskie Zametki, 2015, Volume 97, Issue 2, Pages 174–190
DOI: https://doi.org/10.4213/mzm10285 (Mi mzm10285)

This article is cited in 32 scientific papers (total in 32 papers)

Harmonic and Spectral Analysis of Power Bounded Operators and Bounded Semigroups of Operators on Banach Spaces

A. G. Baskakov

Voronezh State University

Full-text PDF (576 kB) Citations (32)

References:

PDF

HTML

DOI: https://doi.org/10.4213/mzm10285

Abstract: Asymptotic representations of power bounded operators and bounded semigroups of linear operators acting in Banach spaces are obtained under the assumptions that the spectrum of bounded operators on the unit circle and the spectrum of the semigroup generator on the imaginary axis are countable. The methods of abstract harmonic analysis and the spectral theory of operators were used.

Keywords: power bounded operator, operator semigroup, harmonic analysis, spectral theory, asymptotic representation, Banach algebra.

Funding agency	Grant number
Russian Foundation for Basic Research	13-01-00378
Russian Science Foundation	14-21-00066
This work was supported by the Russian Foundation for Basic Research (grant no. 13-01-00378) by the Russian Science Foundation (grant no. 14-21-00066 at Voronezh State University).

Received: 19.03.2013
Revised: 08.06.2013

English version:
Mathematical Notes, 2015, Volume 97, Issue 2, Pages 164–178
DOI: https://doi.org/10.1134/S0001434615010198

Bibliographic databases:

Document Type: Article

UDC: 517.98

Language: Russian

Citation: A. G. Baskakov, “Harmonic and Spectral Analysis of Power Bounded Operators and Bounded Semigroups of Operators on Banach Spaces”, Mat. Zametki, 97:2 (2015), 174–190; Math. Notes, 97:2 (2015), 164–178

Citation in format AMSBIB

\Bibitem{Bas15}

\by A.~G.~Baskakov

\paper Harmonic and Spectral Analysis of Power Bounded Operators and Bounded Semigroups of Operators on Banach Spaces

\jour Mat. Zametki

\yr 2015

\vol 97

\issue 2

\pages 174--190

\mathnet{http://mi.mathnet.ru/mzm10285}

\crossref{https://doi.org/10.4213/mzm10285}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3370505}

\zmath{https://zbmath.org/?q=an:06459065}

\elib{https://elibrary.ru/item.asp?id=23421506}

\transl

\jour Math. Notes

\yr 2015

\vol 97

\issue 2

\pages 164--178

\crossref{https://doi.org/10.1134/S0001434615010198}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000350557000019}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84941621581}

Linking options:

https://www.mathnet.ru/eng/mzm10285

https://doi.org/10.4213/mzm10285

https://www.mathnet.ru/eng/mzm/v97/i2/p174

This publication is cited in the following 32 articles:

Vu Trong Luong, Nguyen Huy, Nguyen Minh, Nguyen Vien, “On asymptotic periodic solutions of fractional differential equations and applications”, Proc. Amer. Math. Soc., 2023
V. E. Strukov, “On Distributions That Are Almost Periodic at Infinity”, J Math Sci, 263:4 (2022), 511
I. I. Strukova, “On Some Properties of Functions Almost Periodic at Infinity from Homogeneous Spaces”, J Math Sci, 263:5 (2022), 643
Nguyen Van Minh, Hideaki Matsunaga, Nguyen Duc Huy, Vu Trong Luong, “A Spectral Theory of Polynomially Bounded Sequences and Applications to the Asymptotic Behavior of Discrete Systems”, FE, 65:3 (2022), 261
I. A. Vysotskaya, I. I. Strukova, “Issledovanie nekotorykh klassov pochti periodicheskikh na beskonechnosti funktsii”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 21:1 (2021), 4–14
Vu Trong Luong, Nguyen Van Minh, “A Simple Spectral Theory of Polynomially Bounded Solutions and Applications to Differential Equations”, Semigr. Forum, 102:2 (2021), 456–476
M. S. Bichegkuev, “Almost periodic at infinity solutions to integro-differential equations with non-invertible operator at derivative”, Ufa Math. J., 12:1 (2020), 3–12
A. G. Baskakov, V. E. Strukov, I. I. Strukova, “Almost periodic at infinity functions from homogeneous spaces as solutions to differential equations with unbounded operator coefficients”, Eurasian Math. J., 11:4 (2020), 8–24
A. G. Baskakov, E. E. Dikarev, “Spectral theory of functions in studying partial differential operators”, Ufa Math. J., 11:1 (2019), 3–18
V. E. Strukov, I. I. Strukova, “Garmonicheskii analiz medlenno menyayuschikhsya na beskonechnosti polugrupp operatorov”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 19:2 (2019), 152–163
I. A. Krishtal, N. B. Uskova, “Spektralnye svoistva differentsialnykh operatorov pervogo poryadka s involyutsiei i gruppy operatorov”, Sib. elektron. matem. izv., 16 (2019), 1091–1132
A. G. Baskakov, V. E. Strukov, I. I. Strukova, “Harmonic analysis of functions in homogeneous spaces and harmonic distributions that are periodic or almost periodic at infinity”, Sb. Math., 210:10 (2019), 1380–1427
V. E. Strukov, “O raspredeleniyakh, pochti periodicheskikh na beskonechnosti”, Materialy Voronezhskoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii i smezhnye problemy». 28 yanvarya–2 fevralya 2019 g. Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 170, VINITI RAN, M., 2019, 51–61
I. I. Strukova, “O nekotorykh svoistvakh pochti periodicheskikh na beskonechnosti funktsii iz odnorodnykh prostranstv”, Materialy Voronezhskoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii i smezhnye problemy». 28 yanvarya–2 fevralya 2019 g. Chast 2, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 171, VINITI RAN, M., 2019, 47–56
A. Baskakov, V. Obukhovskii, P. Zecca, “Almost periodic solutions at infinity of differential equations and inclusions”, J. Math. Anal. Appl., 462:1 (2018), 747–763
A. G. Baskakov, L. Yu. Kabantsova, T. I. Smagina, “Invertibility conditions for second-order differential operators in the space of continuous bounded functions”, Differ. Equ., 54:3 (2018), 285–294
A. G. Baskakov, I. I. Strukova, I. A. Trishina, “Solutions almost periodic at infinity to differential equations with unbounded operator coefficients”, Siberian Math. J., 59:2 (2018), 231–242
A. G. Baskakov, N. B. Uskova, “Fourier method for first order differential equations with involution and groups of operators”, Ufa Math. J., 10:3 (2018), 11–34
A. G. Baskakov, V. E. Strukov, I. I. Strukova, “On the almost periodic at infinity functions from homogeneous spaces”, Probl. anal. Issues Anal., 7(25):2 (2018), 3–19
A. G. Baskakov, V. D. Kharitonov, “Spectral Analysis of Operator Polynomials and Higher-Order Difference Operators”, Math. Notes, 101:3 (2017), 391–405

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	1461
Full-text PDF :	234
References:	163
First page:	129

Что такое QR-код?

Registration to the website

Logotypes