Massive Helson sets. (English. Russian original) Zbl 07885083
Math. Notes 115, No. 5, 829-836 (2024); translation from Mat. Zametki 115, No. 5, 782-790 (2024).
Found 212 Documents (Results 1–100)
Variants of a multiplier theorem of Kislyakov. (English) Zbl 1537.43003
Reviewer: Elijah Liflyand (Ramat-Gan)
On generalization of two theorems pertaining to integrability of cosine and sine trigonometric series. (English) Zbl 1453.42003
Correction up to a function with sparse spectrum and uniformly convergent Fourier integral for the group \(\mathbb{R}^n\). (English. Russian original) Zbl 1440.43013
J. Math. Sci., New York 243, No. 6, 900-906 (2019); translation from Zap. Nauchn. Semin. POMI 467, 116-127 (2018).
A remark on indicator functions with gaps in the spectrum. (English. Russian original) Zbl 1440.43014
J. Math. Sci., New York 243, No. 6, 895-899 (2019); translation from Zap. Nauchn. Semin. POMI 467, 108-115 (2018).
Variants of the inequalities of Paley and Zygmund. (English) Zbl 1420.43004
Reviewer: Enji Sato (Yamagata)
A beastiary of sets having extremal Sidon constant, or, there must be more than one theorem somewhere here. arXiv:1910.00924
Preprint, arXiv:1910.00924 [math.FA] (2019).
Spectral gap properties of the unitary groups: around Rider’s results on non-commutative Sidon sets. (English) Zbl 1436.43006
Baranov, Anton (ed.) et al., 50 years with Hardy spaces. A tribute to Victor Havin. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 261, 417-465 (2018).
The Hardy-Dirichlet space \(\mathcal{H}^p\) and its composition operators. (English) Zbl 1449.32001
Jaming, Philippe (ed.) et al., Harmonic analysis, function theory, operator theory, and their applications. Proceedings of the international conference in honour of Jean Esterle, Bordeaux, France, June 1–4, 2015. Editor list corrected in erratum. Bucharest: The Theta Foundation. Theta Ser. Adv. Math. 19, 221-250 (2017).
Sidonicity and variants of Kaczmarz’s problem. (Sidonicité et un problème de Kaczmarz.) (English. French summary) Zbl 1388.43008
Reviewer: Daniel Li (Lens)
The convergence rate of the group of \(\varphi \)-deviations in the class of analytic functions \(H_{\infty}^{\psi}\). (Ukrainian. English summary) Zbl 1389.42007
MSC:
42A32
On a Sidon-type inequality for discrete orthonormal systems. (English. Russian original) Zbl 1369.42021
Math. Notes 101, No. 4, 693-698 (2017); translation from Mat. Zametki 101, No. 4, 582-587 (2017).
The relationship between \(\epsilon\)-Kronecker sets and sidon sets. (English) Zbl 1353.43006
Reviewer: Daniel Li (Lens)
Sidon-type inequalities and strong approximation by Fourier sums in multiplicative systems. (English. Russian original) Zbl 1354.42011
Sib. Math. J. 57, No. 3, 486-497 (2016); translation from Sib. Mat. Zh. 57, No. 3, 617-631 (2016).
Reviewer: Joseph Lakey (Las Cruces)
MSC:
42B05
Fourier transforms of distributions and Hausdorff measures. (English) Zbl 1311.42012
Reviewer: K. Parthasarathy (Chennai)
A remark on the geometry of spaces of functions with prime frequencies. (English) Zbl 1324.42008
Reviewer: Alexander Ulanovskii (Stavanger)
On the Sidon constant for Dirichlet polynomials. (English) Zbl 1302.11065
Reviewer: Lejla Smajlovic (Sarajevo)
Interpolation and Sidon sets for compact groups. (English) Zbl 1267.43001
CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. New York, NY: Springer (ISBN 978-1-4614-5391-8/hbk; 978-1-4614-5392-5/ebook). xvii, 249 p. (2013).
Reviewer: Daniel Li (Lens)
Some supports of Fourier transforms of singular measures are not Rajchman. (English) Zbl 1259.43003
Reviewer: Kathryn Hare (Waterloo)
Existence of large \(\varepsilon\)-Kronecker and \(FZI_0(U)\) sets in discrete abelian groups. (English) Zbl 1277.43010
On an inequality of Sidon type for trigonometric polynomials. (English. Russian original) Zbl 1250.42003
Math. Notes 89, No. 4, 555-561 (2011); translation from Mat. Zametki 89, No. 4, 589-595 (2011).
Reviewer: Pascal Lefèvre (Lens)
Wiener’s ‘closure of translates’ problem and Piatetski-Shapiro’s uniqueness phenomenon. (English) Zbl 1231.42003
Reviewer: Daniel Li (Lens)
Self-avoiding generating sequences for Fourier lattice designs. (English) Zbl 1196.62104
Viana, Marlos A. G. (ed.) et al., Algebraic methods in statistics and probability II. AMS special session algebraic methods in statistics and probability, March 27–29, 2009, University of Illinois at Urbana-Champaign, Champaign, Il, USA. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4891-3/pbk). Contemporary Mathematics 516, 37-47 (2010).
Invariant means and thin sets in harmonic analysis with applications to prime numbers. (English) Zbl 1172.43004
Reviewer: Daniel Li (Lens)
The Sidon constant for homogeneous polynomials. arXiv:0903.1455
Preprint, arXiv:0903.1455 [math.CV] (2009).
On Sidon-Telyakovskii-type conditions for the integrability of multiple trigonometric series. (Russian, English) Zbl 1164.42312
Ukr. Mat. Zh. 60, No. 5, 579-585 (2008); translation in Ukr. Math. J. 60, No. 5, 663-670 (2008).
On a theorem of Paul Malliavin. (Sur un théorème de Paul Malliavin.) (French) Zbl 1158.43007
Reviewer: Daniel Li (Lens)
Comments regarding the Sidon-Telyakovskiĭ class. (English) Zbl 1164.42004
MSC:
42A16
Uniform distribution of certain sequences of integers in the Bohr group. (Distribution uniforme de certaines suites d’entiers aléatoires dans le groupe de Bohr.) (French) Zbl 1153.43005
Reviewer: Daniel Li (Lens)
Random integers and harmonic analysis. (Entiers aléatoires et analyse harmonique.) (French) Zbl 1153.43004
Reviewer: Daniel Li (Lens)
\(I_{0}\) sets for compact, connected groups: Interpolation with measures that are nonnegative or of small support. (English) Zbl 1149.42004
Reviewer: Boris Rubin (Baton Rouge)
On the order of magnitude of Dirichlet polynomials. (Sur l’ordre de grandeur des polynômes de Dirichlet.) (French) Zbl 1302.11068
On some random thin sets of integers. (English) Zbl 1131.43007
Reviewer: Pascal Lefèvre (Lens)
Random sequences of integers, Sidon sets, density in the Bohr group, and sets of analyticity. (Entiers aléatoires, ensembles de Sidon, densité dans le groupe de Bohr et ensembles d’analyticité.) (French) Zbl 1119.43004
On the structure of spaces of uniformly convergent Fourier series. (English) Zbl 1170.42002
Reviewer: Valery Vladimirovich Volchkov (Donetsk)
Sidon type inequalities for wavelets. (English) Zbl 1143.42042
Tao, Qian (ed.) et al., Wavelet analysis and applications. Selected papers based on the presentations at the conference (WAA 2005), Macau, China, 29th November – 2nd December 2005. With CD-ROM. Basel: Birkhäuser (ISBN 3-7643-7777-1/hbk). Applied and Numerical Harmonic Analysis, 25-33 (2007).
Reviewer: Manfred Tasche (Rostock)
Planar Sidonicity and quasi-independence for multiplicative subgroups of the roots of unity. (English) Zbl 1197.42001
Reviewer: Pascal Lefèvre (Lens)
\(\varepsilon\)-Kronecker and \(I_0\) sets in abelian groups. IV: Interpolation by non-negative measures. (English) Zbl 1138.43006
Reviewer: Stefan Neuwirth (Besançon)
The union of a Riesz set and a Lust-Piquard set is a Riesz set. (English) Zbl 1089.43003
Reviewer: Miroslav Repický (Košice)
Permutation and extension for planar quasi-independent subsets of the roots of unity. arXiv:math/0606546
Preprint, arXiv:math/0606546 [math.FA] (2006).
\(\varepsilon\)-Kronecker and \(I_0\) sets in Abelian groups. III: Interpolation by measures on small sets. (English) Zbl 1086.43005
Reviewer: Pascal Lefèvre (Lens)
Some new rich subspaces of C. Applications. (English) Zbl 1075.46017
Reviewer: Daniel Li (Lens)
Introduction to the study of Banach spaces. Analysis and probability. (Introduction à l’étude des espaces de Banach. Analyse et probabilités.) (French) Zbl 1078.46001
Cours Spécialisés (Paris) 12. Paris: Société Mathématique de France (ISBN 2-85629-155-4/pbk). xxiv, 627 p. (2004).
Reviewer: Eve Oja (Tartu)
Some translation-invariant Banach function spaces which contain \(c_0\). (English) Zbl 1048.43004
Reviewer: Guillermo P. Curbera (Sevilla)
Relationships between families of thin sets. (English) Zbl 1127.42303
Reviewer: Zbigniew Grande (Bydgoszcz)
Difference functions of periodic \(L_ p\) functions. (English) Zbl 1049.28003
Reviewer: Miroslav Repický (Košice)
The uncertainty principle for relatively dense sets and lacunary spectra. (English) Zbl 1067.42004
Beckner, William (ed.) et al., Harmonic analysis at Mount Holyoke. Proceedings of an AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, South Hadley, MA, USA, June 25–July 5, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2903-3/pbk). Contemp. Math. 320, 249-257 (2003).
Reviewer: Elijah Liflyand (Ramat-Gan)
The Kaufman-Rickert inequality governs Rademacher sums. (English) Zbl 1066.26014
Reviewer: Ferenc Móricz (Szeged)
A version of the uncertainty principle for functions with lacunary Fourier transforms. (English) Zbl 1051.42010
Reviewer: Joseph Lakey (Las Cruces)
Some new integrability classes of Fourier coefficients. (English) Zbl 1020.42002
Bojanov, B. D., Constructive theory of functions. Proceedings of the international conference, Varna, Bulgaria, June 19-23, 2002. Sofia: DARBA. 433-439 (2003).
Rajchman multiplication and the Zygmund sets \(U(\varepsilon)\). (La multiplication de Rajchman et les ensembles \(U(\varepsilon)\) de Zygmund.) (French) Zbl 1034.42009
Stud. Math. 149, No. 2, 191-196 (2002); correction ibid. 154, No. 2, 193 (2003).
Reviewer: Joseph Lakey (Las Cruces)
Lacunary Fourier series and Sidon sets. (English) Zbl 1145.43007
Reviewer: Daniel Li (Lens)
Comparing families of thin sets. (English) Zbl 1047.43010
Reviewer: Miroslav Repický (Košice)
The translation \(\frac 12\) in the theory of Dirichlet series. (English) Zbl 1026.42011
Reviewer: Elijah Liflyand (Ramat-Gan)
Some new thin sets of integers in harmonic analysis. (English) Zbl 1018.43004
Reviewer: A.L.Brodskij (Severodonetsk)
MSC:
43A46
On a paper of S. Zahid Ali Zenei. (English) Zbl 1019.42003
Reviewer: S.M.Mazhar (Kuwait)
Lacunary sets and function spaces with finite cotype. (English) Zbl 0994.43003
Reviewer: Miroslav Repický (Košice)
MSC:
43A46
Some results on \(L^1\)-approximation of the \(r\)-th derivate of Fourier series. (English) Zbl 0999.42004
Reviewer: Ferenc Móricz (Szeged)
MSC:
42A20
Continuous measures with large partial sums. (English. Russian original) Zbl 0989.43003
St. Petersbg. Math. J. 13, No. 3, 465-470 (2002); translation from Algebra Anal. 13, No. 3, 171-178 (2002).
Reviewer: S.Platonov (Petrozavodsk)
Banach spaces and classical harmonic analysis. (English) Zbl 1024.46002
Johnson, W. B. (ed.) et al., Handbook of the geometry of Banach spaces. Volume 1. Amsterdam: Elsevier. 871-898 (2001).
Reviewer: T.Precupanu (Iaşi)
\(\Lambda_p\)-sets in analysis: Results, problems and related aspects. (English) Zbl 1016.43004
Johnson, W. B. (ed.) et al., Handbook of the geometry of Banach spaces. Volume 1. Amsterdam: Elsevier. 195-232 (2001).
Reviewer: Daniel Li (Lens)
Some remarks on quasi-Cohen sets. (English) Zbl 0991.43003
Reviewer: Bolis Basit (Clayton)
Lacunarity on nonabelian groups and summing operators. (English) Zbl 1014.47009
Reviewer: Alfonso Montes-Rodriguez (Sevilla)
An extension of the Sidon-Fomin type inequality and its applications. (English) Zbl 0986.42002
Reviewer: Ferenc Móricz (Szeged)
On strong means of circular partial Fourier sums. (Russian) Zbl 1047.42009
Reviewer: Yu. L. Nosenko (Donetsk)
Lacunary sets in harmonic analysis: Recent results. (Ensembles lacunaries en analyse harmonique: résultats récents.) (French) Zbl 1014.43004
Choquet, G. (ed.) et al., Séminaire d’initiation à l’analyse. 37ème et 38ème années: 1997/1999. Exposés 1 à 20. Paris: Univ. Pierre et Marie Curie, Publ. Math. Univ. Pierre Marie Curie. 121, 7 p. (2000).
Reviewer: Benjamin B.Wells jun.(Charlotte)
MSC:
43A46
Measures and lacunary sets in harmonic analysis. (Mesures et ensembles lacunaires en analyse harmonique.) (French) Zbl 1055.43005
Choquet, G. (ed.) et al., Initiation seminar on analysis. 37th and 38th years: 1997/1999. Paris: Univ. Pierre et Marie Curie. Publ. Math. Univ. Pierre Marie Curie 121, 7 p. (2000).
On the integrability of a class of \(N\)-dimensional trigonometric series. (English. Ukrainian original) Zbl 0984.42005
Ukr. Math. J. 52, No. 6, 960-963 (2000); translation from Ukr. Mat. Zh. 52, No. 6, 837-840 (2000).
MSC:
42B08
Lacunary series on compact groups. (English) Zbl 0965.43003
Reviewer: Leszek Skrzypczak (Poznań)
MSC:
43A46
A hierarchy of thin sets related to the boundedness of trigonometric series. (English) Zbl 0949.43004
Reviewer: Elijah Liflyand (Ramat-Gan)
Baire’s category theorem and trigonometric series. (English) Zbl 0961.42001
Reviewer: Ferenc Móricz (Szeged)
Thin sets defined by a sequence of continuous functions. (English) Zbl 1032.42009
Reviewer: L’ubica Holá (Bratislava)
Strong summability of multiple Fourier series and Sidon-type inequalities. (English. Russian original) Zbl 0961.42010
Dokl. Math. 59, No. 1, 93-95 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 364, No. 5, 593-595 (1999).
Two random constructions inside lacunary sets. (English) Zbl 0955.42009
Reviewer: S.V.Kislyakov (St.Peterburg)
Measures and lacunary sets. (English) Zbl 0920.43004
Reviewer: Miroslav Repický (Košice)
Sidon type inequalities and integrability of \(N\)-dimensional trigonometric series. (Russian) Zbl 0956.42007
Reviewer: Yu.L.Nosenko (Donetsk)
MSC:
42B08
Strong summability, Sidon inequalities, integrability. (Russian) Zbl 0946.42005
Samoilenko, A. M. (ed.) et al., Fourier series: Theory and applications. Section: Function theory. Kyïv: Instytut Matematyky NAN Ukraïny. Pr. Inst. Mat. Nats. Akad. Nauk Ukr., Mat. Zastos. 20, 142-150 (1998).
Reviewer: Alexander Gomilko (Kyïv)
Metric unconditionality and Fourier analysis. (English) Zbl 0930.42005
Reviewer: S.V.Kislyakov (St.Peterburg)
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