Search Results - Quasi-analytic and other classes of functions of one complex variable

Finely holomorphic functions and quasi-analytic classes

Authors: Pavel Pyrih

Source: Potential Analysis. 3:273-281

Subject Terms: finely holomorphic functions, Quasi-analytic and other classes of functions of one complex variable, Fine potential theory, fine properties of sets and functions, fine topology, 0101 mathematics, quasi-analytic class, 01 natural sciences

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Access URL: https://zbmath.org/650842
https://doi.org/10.1007/bf01468247
https://link.springer.com/content/pdf/10.1007/BF01468247.pdf
https://link.springer.com/article/10.1007/BF01468247

QUASIANALYTIC FUNCTION CLASSES AND THE COMPLEX-TIME DIFFUSION GROUP - I: Quasianalytic function classes and the complex-time diffusion group. I

Authors: G.H. Sandri A. Gulisashvili

Source: Mathematical Models and Methods in Applied Sciences. :167-190

Subject Terms: quasianalytic function classes, diffusion group, 03 medical and health sciences, 0302 clinical medicine, hyperdistributions, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, invariant, Topological linear spaces of test functions, distributions and ultradistributions, rate of decay of the moments, 0206 medical engineering, Quasi-analytic and other classes of functions of one complex variable, classes of distributions, 02 engineering and technology

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Access URL: http://www.worldscientific.com/doi/abs/10.1142/S0218202595000115?queryID=%24%7BresultBean.queryID%7D

Boundary behaviour of functions of Nevanlinna class

Authors: Karim Kellay Abdellatif Bourhim Omar El-Fallah

Source: Indiana University Mathematics Journal. 53:347-396

Subject Terms: hyperfunctions, shifts, singular inner functions, Nevanlinna class, Quasi-analytic and other classes of functions of one complex variable, outer functions, Spaces of bounded analytic functions of one complex variable, 0101 mathematics, 01 natural sciences, \(H^p\)-classes

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Access URL: https://zbmath.org/2109228
https://doi.org/10.1512/iumj.2004.53.2370
https://documat.unirioja.es/servlet/articulo?codigo=943812
https://dialnet.unirioja.es/servlet/articulo?codigo=943812

A Class of Functions Holomorphic in the Disk: A class of functions holomorphic in the disk

Authors: E. N. Shubabko F. A. Shamoyan

Source: Journal of Mathematical Sciences. 120:1784-1790

Subject Terms: Quasi-analytic and other classes of functions of one complex variable, Spaces of bounded analytic functions of one complex variable, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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Access URL: https://zbmath.org/2182837
https://doi.org/10.1023/b:joth.0000018875.84513.27
https://link.springer.com/article/10.1023/B:JOTH.0000018875.84513.27

A factorization result for generalized Nevanlinna functions of the classN k: A factorization result for generalized Nevanlinna functions of the class \(N_k\)

Authors: Annemarie Luger Heinz Langer Aad Dijksma et al.

Source: Integral Equations and Operator Theory. 36:121-125

Subject Terms: OPERATORS, Linear operators on spaces with an indefinite metric, generalized Nevanlinna class, 4. Education, Quasi-analytic and other classes of functions of one complex variable, Miscellaneous topics of analysis in the complex plane, Blaschke products, etc, 0101 mathematics, 01 natural sciences, generalized pole

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Access URL: https://zbmath.org/1417547
https://doi.org/10.1007/bf01236290
https://research.rug.nl/en/publications/993c0812-06cb-4342-9070-530bc16aba1a
https://hdl.handle.net/11370/993c0812-06cb-4342-9070-530bc16aba1a
https://link.springer.com/article/10.1007%2FBF01236290
https://link.springer.com/content/pdf/10.1007/BF01236290.pdf
https://www.narcis.nl/publication/RecordID/oai%3Apure.rug.nl%3Apublications%2F993c0812-06cb-4342-9070-530bc16aba1a

Characterization of the rate of decay for the Fourier coefficients of functions of bounded form and the classes of analytic functions with infinitely differentiable boundary values: Characterization of the rate of decay for the Fourier coefficients of functions of bounded characteristic and the classes of analytic functions with infinitely differentiable boundary values

Authors: F. A. Shamoyan

Source: Siberian Mathematical Journal. 36:816-826

Subject Terms: function of bounded characteristic, Quasi-analytic and other classes of functions of one complex variable, Blaschke products, etc, quasianaliticity, 0101 mathematics, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1007%2FBF02107340
https://link.springer.com/content/pdf/10.1007/BF02107340.pdf

Extrapolation of functions in the Denjoy class on a star-shaped compact set: Extrapolation of functions in the Denjoy class of a star-shaped compact set

Authors: L. N. Znamenskaya

Source: Mathematical Notes. 56:662-668

Subject Terms: Quasi-analytic and other classes of functions of one complex variable, \(C^\infty\)-functions, quasi-analytic functions, 0101 mathematics, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Denjoy classes, 01 natural sciences

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Access URL: https://zbmath.org/830684
https://doi.org/10.1007/bf02110553
https://link.springer.com/article/10.1007/BF02110553

Quasianalytic classes of functions on a plane

Authors: V. V. Maimeskul

Source: Ukrainian Mathematical Journal. 45:1089-1100

Subject Terms: Quasi-analytic and other classes of functions of one complex variable, quasianalyticity, 0101 mathematics, uniform polynomial approximations, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1007/BF01057456

Division by Flat Ultradifferentiable Functions and Sectorial Extensions: Division by flat ultradifferentiable functions and sectorial extensions

Authors: Thilliez, Vincent

Contributors: Thilliez, Vincent

Source: Results in Mathematics. 44:169-188

Subject Terms: Mathematics - Complex Variables, Quasi-analytic and other classes of functions of one complex variable, [MATH] Mathematics [math], non-quasianalyticity, 30D60, 01 natural sciences, ideals of ultradifferentiable functions, factorization of ultradifferentiable germs, Borel-Ritt theorem, Mathematics - Classical Analysis and ODEs, Banach spaces of continuous, differentiable or analytic functions, 30E05, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Spaces of bounded analytic functions of one complex variable, \(C^\infty\)-functions, quasi-analytic functions, 46E15, Complex Variables (math.CV), 0101 mathematics, 26E10

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Access URL: http://arxiv.org/pdf/math/0602366v1.pdf
http://arxiv.org/abs/math/0602366
https://hal.science/hal-04402320v1
https://doi.org/10.1007/bf03322923
https://zbmath.org/2062010
https://doi.org/10.1007/bf03322923
https://link.springer.com/article/10.1007/BF03322923
https://ui.adsabs.harvard.edu/abs/2006math......2366T/abstract

LINEAR CONTINUOUS EXTENSION OPERATORS FOR GEVREY CLASSES ON POLYSECTORS: Linear continuous extension operators for Gevrey classes on polysectors

Authors: Javier Sanz

Source: Glasgow Mathematical Journal. 45:199-216

Subject Terms: Asymptotic approximations, asymptotic expansions (steepest descent, etc.), Gevrey classes, Quasi-analytic and other classes of functions of one complex variable, linear operator, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences, polysector, Power series, series of functions of several complex variables, Borel-Ritt-Gevrey interpolation problem

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Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/1525E9DDDAC383875BAC200DFBC72B26/S0017089503001319a.pdf/div-class-title-linear-continuous-extension-operators-for-gevrey-classes-on-polysectors-div.pdf
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/1525E9DDDAC383875BAC200DFBC72B26/S0017089503001319a.pdf/div-class-title-linear-continuous-extension-operators-for-gevrey-classes-on-polysectors-div.pdf
https://www.cambridge.org/core/journals/glasgow-mathematical-journal/article/div-classtitlelinear-continuous-extension-operators-for-gevrey-classes-on-polysectorsdiv/1525E9DDDAC383875BAC200DFBC72B26

Almost holomorphic extensions of ultradifferentiable functions

Authors: Mats Andersson Bo Berndtsson

Source: Journal d'Analyse Mathématique. 89:337-365

Subject Terms: Several complex variables and analytic spaces, Quasi-analytic and other classes of functions of one complex variable, almost holomorphic extension, \(C^\infty\)-functions, quasi-analytic functions, Legendre transform, 0101 mathematics, 01 natural sciences, 0251.30033

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Access URL: https://zbmath.org/1997294
https://doi.org/10.1007/bf02893087
https://research.chalmers.se/en/publication/93575
http://www.math.chalmers.se/Math/Research/Preprints/2001/34.pdf
https://link.springer.com/article/10.1007/BF02893087

Exact Inclusions of Gehring Classes in Muckenhoupt Classes: On exact inclusions of Gehring classes in Muckenhoupt classes

Authors: N. A. Malaksiano

Source: Mathematical Notes. 70:673-681

Subject Terms: Classification of real functions, Baire classification of sets and functions, Gehring class, Quasi-analytic and other classes of functions of one complex variable, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, Muckenhoupt class, 01 natural sciences, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

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Access URL: https://zbmath.org/1927815
https://doi.org/10.1023/a:1012983028054
https://link.springer.com/article/10.1023/A%3A1012983028054

Extension maps in ultradifferentiable and ultraholomorphic function spaces

Authors: Jean Schmets Manuel Valdivia

Source: Studia Mathematica. 143:221-250

Subject Terms: Topological linear spaces of test functions, distributions and ultradistributions, Quasi-analytic and other classes of functions of one complex variable, extension map, surjectivity of the restriction map, Spaces defined by inductive or projective limits (LB, LF, etc.), (LB)-space, 01 natural sciences, Borel theorem, Locally convex Fréchet spaces and (DF)-spaces, ultraholomorphic functions, Spaces of bounded analytic functions of one complex variable, Fréchet space, Topological linear spaces of continuous, differentiable or analytic functions, 0101 mathematics, Sequence spaces (including Köthe sequence spaces), ultradifferentiable function spaces of Beurling and Roumieu types

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/111822?download.pdf
https://zbmath.org/1548955
https://doi.org/10.4064/sm-143-3-221-250
https://eudml.org/similar/doc/216817
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-smv143i3p221bwm

Interpolating and sampling sequences for entire functions

Authors: Marco, Nicolás Massaneda Clares, Francesc Xavier Ortega Cerdà, Joaquim

Source: Dipòsit Digital de la UB
Universidad de Barcelona
Articles publicats en revistes (Matemàtiques i Informàtica)

Subject Terms: Functional analysis, Mathematics - Complex Variables, Stochastic integrals, Funcions de variables complexes, Quasi-analytic and other classes of functions of one complex variable, Hilbert space, 01 natural sciences, Interpolation, Functions of complex variables, 30E05, 46E20, Funcions analítiques, Interpolació (Matemàtica), Espais de Hilbert, Banach spaces of continuous, differentiable or analytic functions, Anàlisi funcional, Analytic functions, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics

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Access URL: http://diposit.ub.edu/dspace/bitstream/2445/164726/1/506183.pdf
http://arxiv.org/abs/math/0205241
http://hdl.handle.net/2445/164726
https://hdl.handle.net/2445/164726
http://diposit.ub.edu/dspace/bitstream/2445/164726/1/506183.pdf
http://diposit.ub.edu/dspace/handle/2445/164726
https://link.springer.com/article/10.1007%2Fs00039-003-0434-7

Harmonic Analysis in the Complex Domain and Applications in the Theory of Analytic and Infinitely Differentiable Functions: Harmonic analysis in the complex domain and applications in the theory of analytic and infinitely differentiable functions

Authors: M. M. Dzhrbashyan

Source: Lecture Notes in Mathematics ISBN: 9783540068693

Subject Terms: quasi-analyticity, Entire functions of one complex variable (general theory), Representations of entire functions of one complex variable by series and integrals, Quasi-analytic and other classes of functions of one complex variable, entire functions of Mittag-Leffler type, 0101 mathematics, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1007/BF03341965
https://link.springer.com/content/pdf/10.1007%2FBF03341965.pdf
https://rd.springer.com/chapter/10.1007/BFb0063569
https://link.springer.com/content/pdf/10.1007%2FBFb0063569.pdf
https://link.springer.com/chapter/10.1007/BFb0063569

Normal family of algebroidal functions

Authors: Yang Le Sun Daochun Sun Daochun Yang Le

Source: Science in China Series A: Mathematics. 44:1271-1277

Subject Terms: normality, Quasi-analytic and other classes of functions of one complex variable, Normal functions of one complex variable, normal families, 0101 mathematics, 01 natural sciences

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Access URL: https://en.cnki.com.cn/Article_en/CJFDTOTAL-JAXG200110005.htm
http://ui.adsabs.harvard.edu/abs/2001ScChA..44.1271S/abstract
https://link.springer.com/article/10.1007/BF02877015

On Completeness of a System of Functions in an Angular Domain: On completeness of a system of functions in an angular domain

Authors: V. M. Dil'nyi

Source: Ukrainian Mathematical Journal. 53:289-292

Subject Terms: completeness, Quasi-analytic and other classes of functions of one complex variable, system of analytic functions, 0101 mathematics, 01 natural sciences, angle domain

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Access URL: https://zbmath.org/1646162
https://link.springer.com/article/10.1023%2FA%3A1010425322392

Cohesive functions and weak accelerations

Authors: Jean Ecalle

Source: Journal d Analyse Mathematique. 60:71-97

Subject Terms: quasianalytic Carleman classes, 0103 physical sciences, Quasi-analytic and other classes of functions of one complex variable, quasianalytic continuation, 0101 mathematics, 01 natural sciences, Analytic continuation of functions of one complex variable

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Access URL: https://zbmath.org/528688
https://doi.org/10.1007/bf03341967
https://link.springer.com/content/pdf/10.1007%2FBF03341967.pdf
https://link.springer.com/article/10.1007/BF03341967

Generalized Lindelöf Finiteness Conditions for the λ-Type of a Subharmonic Function: Generalized Lindelöf finiteness conditions for the \(\lambda\)-type of a subharmonic function

Authors: A. A. Kondratyuk Ya. V. Vasyl’kiv

Source: Ukrainian Mathematical Journal. 54:340-344

Subject Terms: slowly varying function, 0103 physical sciences, Quasi-analytic and other classes of functions of one complex variable, Lindelöf criterion \(\lambda\)-type finiteness, 0101 mathematics, subharmonic function, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions

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Access URL: https://link.springer.com/article/10.1023/A:1020150916036

Completeness of systems of functions, quasianalyticity and subharmonic majorants

Authors: B. Ya. Levin

Source: Journal of Soviet Mathematics. 63:171-201

Subject Terms: subharmonic majorants, approximation by entire functions, quasi-analytic classes, Quasi-analytic and other classes of functions of one complex variable, barrier, 0101 mathematics, Harmonic, subharmonic, superharmonic functions in two dimensions, 01 natural sciences, Completeness problems, closure of a system of functions of one complex variable

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Access URL: https://link.springer.com/article/10.1007/BF01099310