Spectrum of algebra of slowly varying at infinity functions

Strukova I.

doi:doi:10.12737/5214

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Spectrum of algebra of slowly varying at infinity functions

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SPECTRUM OF ALGEBRA OF SLOWLY VARYING AT INFINITY FUNCTIONS

Journal: ACTUAL DIRECTIONS OF SCIENTIFIC RESEARCHES OF THE XXI CENTURY: THEORY AND PRACTICE Volume 2 № 4 p. 2 , 2014

Rubrics: SECTION: THEORY OF FUNCTIONS AND FUNCTIONAL ANALYSIS

Strukova I.

Author and publication information

Authors:

Type:

Article

DOI:

https://doi.org/10.12737/5214

Pages:

from 460 to 463

Status:

Published

Received:

29.08.2014

Accepted:

07.10.2014

Published:

07.10.2014

Language:

Russian

Keywords:

Banach space, slowly varying at infinity function, Banach limit, spectrum of algebra

Abstract and keywords

Abstract (English):
In the paper slowly varying at infinity functions are studied. Spectrum of Banach algebra of slowly varying at infinity functions is described.

Keywords:
Banach space, slowly varying at infinity function, Banach limit, spectrum of algebra

References

1. Strukova I. I. Teorema Vinera dlya periodicheskikh na beskonechnosti funktsiy / I. I. Strukova. Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika. 2012. № 12 (4) S. 34-41.

2. Strukova I. I. Teorema Vinera dlya periodicheskikh na beskonechnosti funktsiy s ryadami Fur´e, summiruemymi s vesom / I. I. Strukova. Ufimsk. matem. zhurn. 2013. № 5 (3) S. 144-152.

3. Strukova I. I. O garmonicheskom analize periodicheskikh na beskonechnosti funktsiy / I. I. Strukova. Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika. 2014. № 14 (1) S. 28-38.

4. Baskakov A. G., Kaluzhina N. S. Teorema Berlinga dlya funktsiy s sushchestvennym spektrom iz odnorodnykh prostranstv i stabilizatsiya resheniy parabolicheskikh uravneniy / A. G. Baskakov, N. S. Kaluzhina. Matem. Zametki. 2012. № 92 (5) S. 643-661.

5. Baskakov A. G. Abstraktnyy garmonicheskiy analiz i asimptoticheskie otsenki elementov obratnykh matrits / A. G. Baskakov. Matem. Zametki. 1992. № 52 (2) S. 17-26.

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