Approximation by entire functions on a countable union of segments on the real axis. 2. Proof of the main theorem

Olga V. Silvanovich;

doi:10.21638/11701/spbu01.2017.108

Approximation by entire functions on a countable union of segments on the real axis. 2. Proof of the main theorem

Vestnik of Saint Petersburg University Mathematics Mechanics Astronomy ◽

10.21638/11701/spbu01.2017.108 ◽

2017 ◽

Vol 4(62) (1) ◽

pp. 53-63

Author(s):

Olga V. Silvanovich ◽

Keyword(s):

Real Axis ◽

Entire Functions ◽

Countable Union ◽

The Real

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Approximation by entire functions on a countable union of segments on the real axis. 4. Inverse theorem

Vestnik of Saint Petersburg University Mathematics Mechanics Astronomy ◽

10.21638/11701/spbu01.2018.308 ◽

2018 ◽

Vol 5(63) (3) ◽

Cited By ~ 1

Author(s):

Olga V. Silvanovich ◽

Nikolai A. Shirokov

Keyword(s):

Real Axis ◽

Entire Functions ◽

Inverse Theorem ◽

Countable Union ◽

The Real

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Approximation by entire functions on a countable union of segments on the real axis

Vestnik of Saint Petersburg University Mathematics Mechanics Astronomy ◽

10.21638/11701/spbu01.2016.414 ◽

2016 ◽

Vol 3(61) (4) ◽

pp. 644-650

Author(s):

Olga V. Silvanovich ◽

◽

Nikolai A. Shirokov ◽

Keyword(s):

Real Axis ◽

Entire Functions ◽

Countable Union ◽

The Real

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Approximation by Entire Functions on a Countable Union of Segments on the Real Axis: 3. Further Generalization

Vestnik St Petersburg University Mathematics ◽

10.3103/s1063454118020085 ◽

2018 ◽

Vol 51 (2) ◽

pp. 164-168

Author(s):

O. V. Silvanovich ◽

N. A. Shirokov

Keyword(s):

Real Axis ◽

Entire Functions ◽

Countable Union ◽

The Real

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Approximation by entire functions on a countable union of segments on the real axis. 3. Further generalization

Vestnik of Saint Petersburg University Mathematics Mechanics Astronomy ◽

10.21638/11701/spbu01.2018.207 ◽

2018 ◽

Vol 5(63) (2) ◽

Author(s):

Olga V. Silvanovich ◽

Nikolai A. Shirokov

Keyword(s):

Real Axis ◽

Entire Functions ◽

Countable Union ◽

The Real

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Approximation by Entire Functions on a Countable Union of Real-Axis Segments. 4. Inverse Theorem

Vestnik St Petersburg University Mathematics ◽

10.3103/s1063454118030081 ◽

2018 ◽

Vol 51 (3) ◽

pp. 267-275

Author(s):

O. V. Sil’vanovich ◽

N. A. Shirokov

Keyword(s):

Real Axis ◽

Entire Functions ◽

Inverse Theorem ◽

Countable Union

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Approximation by entire functions on countable unions of segments of the real axis: 2. proof of the main theorem

Vestnik St Petersburg University Mathematics ◽

10.3103/s1063454117010125 ◽

2017 ◽

Vol 50 (1) ◽

pp. 35-43 ◽

Cited By ~ 2

Author(s):

O. V. Silvanovich ◽

N. A. Shirokov

Keyword(s):

Real Axis ◽

Entire Functions ◽

The Real

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Classes of entire functions that are rapidly decreasing on the real axis: theory and applications

Sbornik Mathematics ◽

10.1070/sm2008v199n01abeh003913 ◽

2008 ◽

Vol 199 (1) ◽

pp. 131-157 ◽

Cited By ~ 1

Author(s):

A M Sedletskiĭ

Keyword(s):

Real Axis ◽

Entire Functions ◽

The Real

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Integral Cauchy Type Representations of Infinite Order Differential Operators in Spaces of Exponential Type Entire Functions Bounded on the Real Axis

Journal of Mathematical Sciences ◽

10.1007/s10958-014-1825-z ◽

2014 ◽

Vol 198 (6) ◽

pp. 828-834

Author(s):

T. E. Stulova

Keyword(s):

Real Axis ◽

Exponential Type ◽

Infinite Order ◽

Differential Operators ◽

Entire Functions ◽

Cauchy Type ◽

The Real

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Entire functions with a given sequence of zeros and of regular behavior on the real axis. I

Siberian Mathematical Journal ◽

10.1007/s11202-007-0082-5 ◽

2007 ◽

Vol 48 (5) ◽

pp. 798-808 ◽

Cited By ~ 4

Author(s):

A. M. Gaisin ◽

D. I. Sergeeva

Keyword(s):

Real Axis ◽

Entire Functions ◽

The Real ◽

Regular Behavior ◽

Axis I

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Classes of functions defined on the real axis and their approximations by entire functions. II

Ukrainian Mathematical Journal ◽

10.1007/bf01071013 ◽

1990 ◽

Vol 42 (2) ◽

pp. 186-197 ◽

Cited By ~ 18

Author(s):

A. I. Stepanets

Keyword(s):

Real Axis ◽

Entire Functions ◽

The Real

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