## Found 750 Documents (Results 1–100)

100
MathJax

### On the chain structure in the de Branges spaces. (English)Zbl 07623019

MSC:  46E22 30D15 47B32
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### Asymptotic relations between interpolation differences and zeta functions. (English)Zbl 07595151

MSC:  41Axx 11Mxx 42Axx
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### A Turán-type inequality for entire functions of exponential type. (English)Zbl 07597442

MSC:  30D15 30C10 30A10
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### On some results on $$(p,q)$$-TH relative order and $$(p,q)$$-TH relative type of analytic functions represented by Dirichlet series in the half plane. (English)Zbl 1493.30007

MSC:  30B50 30D15
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### Rogosinsky-Bernstein polynomial method of summation of trigonometric Fourier series. (English. Russian original)Zbl 1487.42007

Math. Notes 111, No. 4, 604-615 (2022); translation from Mat. Zametki 111, No. 4, 592-605 (2022).
MSC:  42A24 42A38 42A10
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### On entire functions of several variables with derivatives of even order taking integer values. (English)Zbl 1492.32002

MSC:  32A15 32A22 32A08
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### Sum-difference equation for analytic functions generated by triangle and its applications. (Russian. English summary)Zbl 07501568

Ufim. Mat. Zh. 13, No. 4, 17-22 (2021); translation in Ufa Math. J. 13, No. 4, 17-22 (2021).
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### Growth of entire functions of exponential type and characteristics of distributions of points along straight line in complex plane. (Russian. English summary)Zbl 07501561

Ufim. Mat. Zh. 13, No. 3, 116-128 (2021); translation in Ufa Math. J. 13, No. 3, 113-125 (2021).
MSC:  30D15 30D20
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### Approximation by entire functions on a countable set of continua. The inverse theorem. (English. Russian original)Zbl 1486.30110

Vestn. St. Petersbg. Univ., Math. 54, No. 4, 366-371 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 4, 600-607 (2021).
MSC:  30E10 30D15
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### The use of the isometry of function spaces with different numbers of variables in the theory of approximation of functions. (English)Zbl 1483.30058

MSC:  30D15 30H99
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### Bounds of the Nikol’skii polynomial constants in $$L^p$$ with Gegenbauer weight. (English. Russian original)Zbl 1494.41005

Proc. Steklov Inst. Math. 315, Suppl. 1, S117-S127 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 4, 126-137 (2020).
MSC:  41A17 33C45
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### On Fourier series on the torus and Fourier transforms. (English. Russian original)Zbl 1480.42012

Math. Notes 110, No. 5, 767-772 (2021); translation from Mat. Zametki 110, No. 5, 766-772 (2021).
MSC:  42B05 42B10
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### A bilogarithmic criterion for the existence of a regular minorant that does not satisfy the bang condition. (English. Russian original)Zbl 1483.30007

Math. Notes 110, No. 5, 666-678 (2021); translation from Mat. Zametki 110, No. 5, 672-687 (2021).
MSC:  30B10 30D15
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MSC:  30D15
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### Generalized interpolation problem of the Korevaar-Dixon type. (English. Russian original)Zbl 1475.30086

J. Math. Sci., New York 257, No. 3, 296-304 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 162, 25-33 (2019).
MSC:  30E05 30D15
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### Asymptotic behaviour of the error of polynomial approximation of functions like $$\vert x\vert^{\alpha+i\beta}$$. (English)Zbl 1465.41002

MSC:  41A10 41A60
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### On the difference equation associated with the doubly periodic group and its applications. (English)Zbl 1462.30072

MSC:  30E25 30D15 30E05
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MSC:  41A17
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### On the conjugate diagram of one entire function. (English)Zbl 1488.30172

MSC:  30D15 05C50 34B05

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### The summary equation for functions analytical outside four squares. Applications. (English)Zbl 1461.30062

MSC:  30D15 30E05
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### Approximation by entire functions on a countable set of continua. (English. Russian original)Zbl 1461.30071

Vestn. St. Petersbg. Univ., Math. 53, No. 3, 329-335 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 3, 481-489 (2020).
MSC:  30D15 30E10
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### Growth of subharmonic functions along line and distribution of their Riesz measures. (Russian. English summary)Zbl 1463.31002

Ufim. Mat. Zh. 12, No. 2, 35-48 (2020); translation in Ufa Math. J. 12, No. 2, 35-49 (2020).
MSC:  31A05 30D20 30D15
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### On moment problem for entire functions generated by doubly periodic group. (Russian. English summary)Zbl 1463.30172

Ufim. Mat. Zh. 12, No. 2, 21-27 (2020); translation in Ufa Math. J. 12, No. 2, 21-27 (2020).
MSC:  30E05 30E20 30E25
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### Generalized Riccati Wick differential equation and applications. (English)Zbl 1467.46041

MSC:  46F10 46F05
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### On transcendental entire functions with infinitely many derivatives taking integer values at several points. (English)Zbl 1451.30059

MSC:  30D15 30D05 41A58
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### On shifts of the sequence of integers generating functions that are invertible in the sense of Ehrenpreis. (English. Russian original)Zbl 1455.30021

J. Math. Sci., New York 251, No. 2, 161-175 (2020); translation from Zap. Nauchn. Semin. POMI 480, 5-25 (2019).
MSC:  30D15 30D20
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### Approximation of the Nikol’skii-Besov functional classes by entire functions of a special form. (English)Zbl 1450.41006

MSC:  41A30 41A50 41A63
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### Linear factorization of hypercyclic functions for differential operators. (English)Zbl 07178209

MSC:  47-XX 30-XX
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### Sharp constants of approximation theory. III. Certain polynomial inequalities of different metrics on convex sets. (English)Zbl 1435.41011

MSC:  41A17 41A63 26D10
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### Sharp constants of approximation theory. I. Multivariate Bernstein-Nikolskii type inequalities. (English)Zbl 1434.41005

MSC:  41A17 41A44
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### On applications of summary equation induced by quadrilateral. (Russian. English summary)Zbl 1463.30190

Ufim. Mat. Zh. 11, No. 4, 29-34 (2019); translation in Ufa Math. J. 11, No. 4, 27-32 (2019).
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### On an interpolation problem in the class of functions of exponential type in a half-plane. (Russian. English summary)Zbl 1463.30173

Ufim. Mat. Zh. 11, No. 1, 19-25 (2019); translation in Ufa Math. J. 11, No. 1, 19-26 (2019).
MSC:  30E05 30D15
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### The growth of Hadamard product of random Dirichlet series. (Chinese. English summary)Zbl 1449.30004

MSC:  30B50 30D15
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### Summary equation for functions, which are holomorphic outside two triangles, and its applications. (English. Russian original)Zbl 1442.30037

Russ. Math. 63, No. 10, 18-23 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 10, 21-27 (2019).
MSC:  30E25 30D20 30E05
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### Interrelation between Nikolskii-Bernstein constants for trigonometric polynomials and entire functions of exponential type. (Russian. English summary)Zbl 1439.30050

Chebyshevskiĭ Sb. 20, No. 3(71), 143-153 (2019); correction ibid. 21, No. 3(75), 336-338 (2020).
MSC:  30D15 30C10
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### A note on approximation by trigonometric polynomials. (English. Russian original)Zbl 1435.42003

J. Math. Sci., New York 243, No. 6, 981-984 (2019); translation from Zap. Nauchn. Semin. POMI 467, 238-243 (2018).
MSC:  42A10 30E10
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MSC:  30D15
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### Siciak’s homogeneous extremal functions, holomorphic extension and a generalization of Helgason’s support theorem. (English)Zbl 1436.32011

MSC:  32A15 30D15 32U35
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### The growth of entire function in the form of vector valued Dirichlet series in terms of $$(p,q)$$-th relative Ritt order and $$(p,q)$$-th relative Ritt type. (English)Zbl 1427.30002

MSC:  30B50 30D15
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### Sharp constants of approximation theory. II. Invariance theorems and certain multivariate inequalities of different metrics. (English)Zbl 1429.41009

MSC:  41A17 41A63 26D10
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### On invariant subspaces of the Pommiez operator in the spaces of entire functions of exponential type. (English. Russian original)Zbl 07123860

J. Math. Sci., New York 241, No. 6, 760-769 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 142, 111-120 (2017).
MSC:  47A16 47B38 46E10
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### On interrelation of Nikolskii constants for trigonometric polynomials and entire functions of exponential type. (Russian. English summary)Zbl 1434.42002

MSC:  42A05 30D15
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### On some bounds involving $$(p,q)$$-relative Ritt type and $$(p,q)$$-relative Ritt weak type of entire functions represented by vector valued Dirichlet series. (English)Zbl 1438.30008

MSC:  30B50 30D15 30D99

### On Hamburger moments problem generated by a group with two limit points. (English. Russian original)Zbl 1415.30027

Russ. Math. 62, No. 12, 1-5 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 12, 3-8 (2018).
MSC:  30E05 30D15
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### Turán’s and Fejér’s extremal problems for Jacobi transform. (English)Zbl 1424.42001

MSC:  42A05 41A55 33C45
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### Generalized Logan’s problem for entire functions of exponential type and optimal argument in Jackson’s inequality in $$L_2(\mathbb{R}^3)$$. (English)Zbl 1404.30040

MSC:  30E10 30D15 33C10
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### Growth properties of vector valued Dirichlet series with complex exponents. (English)Zbl 1413.30010

MSC:  30B50 30D15
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### On a classic moment problem for entire functions. (English)Zbl 1401.30035

MSC:  30E05 30D15
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### Approximation by entire functions on a countable union of segments on the real axis. III: Further generalization. (English. Russian original)Zbl 1405.30036

Vestn. St. Petersbg. Univ., Math. 51, No. 2, 164-168 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 2, 265-272 (2018).
MSC:  30E10 30D15
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### Askey-Wilson operator on entire functions of exponential type. (English)Zbl 1406.40004

MSC:  40A25 30D15
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### About functional equation, generated by equilateral triangle. (English)Zbl 1394.30023

MSC:  30E05 30E25
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### Interpolation problems for entire functions induced by regular hexagons. (English. Russian original)Zbl 1396.30002

Sib. Math. J. 59, No. 1, 59-64 (2018); translation from Sib. Mat. Zh. 59, No. 1, 78-85 (2018).
MSC:  30D15 30E05
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### A note on characteristic functions and their extensions. (English)Zbl 1392.30012

MSC:  30D15 42A38 60E10
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### Plancherel-Pólya inequality for entire functions of exponential type in $$L^2(\mathbb R)$$. (English)Zbl 1413.30115

MSC:  30D10 30D15 42A99
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### Extremal signatures. (English)Zbl 1394.30024

MSC:  30E10 30D15
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### Complete biorthogonal systems of Bessel functions. (English)Zbl 1414.30006

MSC:  30B60 33C10 30D15
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### Some growth properties of entire functions represented by vector valued Dirichlet series on the basis of their $$(p,q)$$-th relative Ritt order and $$(p,q)$$-th relative Ritt type. (English)Zbl 1412.30008

MSC:  30B50 30D15 30D99
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### Order estimates for the approximating characteristics of functions from the classes $$S_{p,\theta}^\Omega B(\mathbb{R}^d)$$ with a given majorant of mixed modules of continuity in the uniform metric. (English. Ukrainian original)Zbl 1490.41020

Ukr. Math. J. 68, No. 12, 1975-1985 (2017); translation from Ukr. Mat. Zh. 68, No. 12, 1705-1714 (2016).
MSC:  41A63 42A32
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### Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series. (English)Zbl 1413.30012

MSC:  30B50 30D15 30D99
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### The logarithmic order and logarithmic type of double Dirichlet series. (Chinese. English summary)Zbl 1399.30012

MSC:  30B50 30D20

### Eigenvalue problems of Toeplitz operators in Bargmann-Fock spaces. (English)Zbl 06850095

Oberguggenberger, Michael (ed.) et al., Generalized functions and Fourier analysis. Dedicated to Stevan Pilipović on the occasion of his 65th birthday. Contributions of the 8th, 9th and 10th ISAAC congresses, Moscow, Russia, 2011, Krakow, Poland, 2013 and Macau, China, 2015. Basel: Birkhäuser/Springer. Oper. Theory: Adv. Appl. 260, 269-276 (2017).
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### Approximation by entire functions on countable unions of segments of the real axis. II: Proof of the main theorem. (English. Russian original)Zbl 1382.41007

Vestn. St. Petersbg. Univ., Math. 50, No. 1, 35-43 (2017); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 62, No. 1, 53-63 (2017).
MSC:  41A10 30E10 41A27
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### On the growth and approximation of entire functions represented by Laplace-Stieltjes’ transformation. (English)Zbl 1386.30004

MSC:  30B50 30D10
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### Operator Bruwier series and initial problem for a linear differential-difference equation in a Banach space. (English. Russian original)Zbl 1381.30021

J. Math. Sci., New York 226, No. 4, 335-343 (2017); translation from Probl. Mat. Anal. 89, 3-10 (2017).
MSC:  30D15 34M05
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### Entire functions of exponential type represented by pseudo-random and random Taylor series. (English)Zbl 1387.30031

MSC:  30D10 30B20
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MSC:  41A27
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MSC:  30D15

### On a system of entire functions of class A which is biorthogonal to a lacunar power system on the ray. (English. Russian original)Zbl 1369.30027

Sib. Math. J. 58, No. 1, 63-66 (2017); translation from Sib. Mat. Zh. 58, No. 1, 83-87 (2017).
MSC:  30D15
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### On sharp constants in Bernstein-Nikolskii inequalities. (English)Zbl 1370.41023

MSC:  41A17 42A05
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### Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function. (English)Zbl 1362.11078

MSC:  11M06 11M26
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### Sharp constants in V. A. Markov-Bernstein type inequalities of different metrics. (English)Zbl 1358.41008

MSC:  41A17 41A10
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### Classical sampling series of band limited functions: oversampling and non-existence. (English)Zbl 1417.94029

MSC:  94A20 40A30 30D10
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### Approximations by entire functions on countable unions of segments of the real axis. (English. Russian original)Zbl 1393.30029

Vestn. St. Petersbg. Univ., Math. 49, No. 4, 373-378 (2016); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 4, 644-650 (2016).
MSC:  30E10 30D15
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### A few results on relative Ritt type and relative Ritt weak type of entire functions represented by vector valued Dirichlet series. (English)Zbl 1375.30002

MSC:  30B50 30D15 30D99

### Approximation under exponential growth conditions by Szász and Baskakov type operators in the complex plane. (English)Zbl 1370.41032

Rassias, Themistocles M. (ed.) et al., Mathematical analysis, approximation theory and their applications. Cham: Springer (ISBN 978-3-319-31279-8/hbk; 978-3-319-31281-1/ebook). Springer Optimization and Its Applications 111, 235-266 (2016).
MSC:  41A35 30E10 41A25
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### On proximate order and proximate type of entire Dirichlet series. (English)Zbl 1371.30003

MSC:  30B50 30D99
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### Relative order and type of entire functions represented by Banach valued Dirichlet series in two variables. (English)Zbl 1359.30009

MSC:  30B50 30D15
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### The growth of zero order Laplace-Stieltjes transform on the plane. (Chinese. English summary)Zbl 1363.44002

MSC:  44A10 30D15 30B50

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### On generalized orders and types of Laplace-Stieltjes transformas analytic in the right half-plane. (Chinese. English summary)Zbl 1363.42008

MSC:  42A38 30B50 30D15

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