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 ◽

Author(s):

A M Sedletskiĭ

Keyword(s):

Real Axis ◽

Entire Functions ◽

Download Full-text

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 ◽

Author(s):

O. V. Silvanovich ◽

N. A. Shirokov

Keyword(s):

Real Axis ◽

Entire Functions ◽

Download Full-text

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 ◽

Download Full-text

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 ◽

Author(s):

A. M. Gaisin ◽

D. I. Sergeeva

Keyword(s):

Real Axis ◽

Entire Functions ◽

The Real ◽

Regular Behavior ◽

Download Full-text

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 ◽

Download Full-text

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) ◽

Author(s):

Olga V. Silvanovich ◽

Nikolai A. Shirokov

Keyword(s):

Real Axis ◽

Entire Functions ◽

Inverse Theorem ◽

Countable Union ◽

Download Full-text

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 ◽

Author(s):

A. I. Stepanets

Keyword(s):

Real Axis ◽

Entire Functions ◽

Download Full-text

Zero sets of entire functions of exponential type with additional conditions on the real axis

St Petersburg Mathematical Journal ◽

10.1090/s1061-0022-08-01039-x ◽

2008 ◽

Vol 20 (1) ◽

pp. 95-100 ◽

Author(s):

S. Yu. Favorov

Keyword(s):

Real Axis ◽

Exponential Type ◽

Entire Functions ◽

The Real ◽

Zero Sets ◽

Functions Of Exponential Type

Download Full-text

Representation Formulas for Integrable and Entire Functions of Exponential Type II

Canadian Journal of Mathematics ◽

10.4153/cjm-1991-003-3 ◽

1991 ◽

Vol 43 (1) ◽

pp. 34-47 ◽

Author(s):

Clément Frappier

Keyword(s):

Entire Function ◽

Real Axis ◽

Exponential Type ◽

Entire Functions ◽

Type Ii ◽

The Real ◽

Representation Formulas ◽

Functions Of Exponential Type ◽

We adopt the terminology and notations of [5]. If f ∈ Bτ is an entire function of exponential type τ bounded on the real axis then we have the complementary interpolation formulas [1, p. 142-143] andwhere t, γ are reals and

Download Full-text

ON UNIFORM AND ASYMPTOTIC APPROXIMATION ON THE REAL AXIS BY ENTIRE FUNCTIONS OF RESTRICTED GROWTH

Mathematics of the USSR-Sbornik ◽

10.1070/sm1982v041n01abeh002218 ◽

1982 ◽

Vol 41 (1) ◽

pp. 1-32 ◽

Author(s):

N U Arakeljan

Keyword(s):

Real Axis ◽

Asymptotic Approximation ◽

Entire Functions ◽

Download Full-text

Approximations by entire functions on countable unions of segments of the real axis

Vestnik St Petersburg University Mathematics ◽

10.3103/s1063454116040130 ◽

2016 ◽

Vol 49 (4) ◽

pp. 373-378 ◽

Author(s):

O. V. Silvanovich ◽

N. A. Shirokov

Keyword(s):

Real Axis ◽

Entire Functions ◽

Download Full-text