Probabilistic renormalization and analytic continuation

Authors: Gunduz Caginalp, Bogdan Ion

Source: Journal of Number Theory. 241:221-246

Subject Terms: Mathematics - Number Theory, 40A05, 40G99, 30B40, 30B50, 11M41, Dirichlet series, exponential series and other series in one complex variable, FOS: Physical sciences, Mathematical Physics (math-ph), 01 natural sciences, renormalization, divergent series, Convergence and divergence of series and sequences, Special methods of summability, FOS: Mathematics, Number Theory (math.NT), Contents, measures, outer measures, capacities, Dirichlet series, 0101 mathematics, Other Dirichlet series and zeta functions, Analytic continuation of functions of one complex variable, Mathematical Physics

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Access URL: http://arxiv.org/abs/2008.13079
https://zbmath.org/7575696
https://doi.org/10.1016/j.jnt.2022.03.007

Fortsetzbare äquivalente Potenzreihen

Authors: Indlekofer, Karl-Heinz, Trautner, Rolf

Source: Publicationes Mathematicae Debrecen. 28:25-30

Subject Terms: Boundary behavior of power series in one complex variable, over-convergence, Cesàro, Euler, Nörlund and Hausdorff methods, convergence-bad, equivalent power series, 0101 mathematics, 01 natural sciences, Analytic continuation of functions of one complex variable, Power series (including lacunary series) in one complex variable, Euler summability method

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Access URL: https://zbmath.org/3753164

Padé approximants for functions with branch points — strong asymptotics of Nuttall–Stahl polynomials: Padé approximants for functions with branch points -- strong asymptotics of Nuttall-Stahl polynomials

Authors: Aptekarev, Alexander L., Yattselev, Maxim L.

Contributors: Department of Mathematical Sciences, School of Science

Source: Acta Math. 215, no. 2 (2015), 217-280

Subject Terms: 42C05, strong asymptotics, non-Hermitian orthogonality, Capacity and harmonic measure in the complex plane, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, 16. Peace & justice, 01 natural sciences, 42C05, 41A20, 41A21, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 41A21, 41A20, 0101 mathematics, Padé approximation, orthogonal polynomials, Analytic continuation of functions of one complex variable

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Access URL: http://arxiv.org/abs/1109.0332
https://arxiv.org/pdf/1109.0332v2
http://ui.adsabs.harvard.edu/abs/2011arXiv1109.0332A/abstract
https://arxiv.org/abs/1109.0332
http://export.arxiv.org/pdf/1109.0332
http://www.math.iupui.edu/~maxyatts/publications/16.pdf
http://projecteuclid.org/euclid.acta/1485802454
https://link.springer.com/article/10.1007/s11511-016-0133-5
https://projecteuclid.org/download/pdf_1/euclid.acta/1485802454
https://core.ac.uk/display/46964483
https://www.scilit.net/article/b5e4520ee8b13e221ef31ac6c2ece043
http://projecteuclid.org/euclid.acta/1485802454

Determination of singularities of a function from its perturbation expansion

Authors: J. Zamastil, F Vinette

Source: Journal of Physics A: Mathematical and General. 38:4009-4025

Subject Terms: 0103 physical sciences, Perturbation theories for operators and differential equations in quantum theory, 01 natural sciences, Power series (including lacunary series) in one complex variable, Analytic continuation of functions of one complex variable

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Access URL: https://zbmath.org/2170536
https://doi.org/10.1088/0305-4470/38/18/010
https://ui.adsabs.harvard.edu/abs/2005JPhA...38.4009Z/abstract

Linear Kierst–Szpilrajn theorems: Linear Kierst--Szpilrajn theorems

Authors: Bernal González, Luis

Contributors: Universidad de Sevilla. Departamento de Análisis Matemático, Universidad de Sevilla. FQM127: Análisis Funcional no Lineal

Source: idUS. Depósito de Investigación de la Universidad de Sevilla
Universidad de Sevilla (US)
instname

Subject Terms: Residual set, Domain of holomorphy, 16. Peace & justice, linear manifold, 01 natural sciences, Unit disk, analytic continuation, Boundary behavior of power series in one complex variable, over-convergence, Ggap series, Closed linear manifold, 0101 mathematics, Analytic continuation of functions of one complex variable, Dense linear manifold

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/90493?download.pdf
https://hdl.handle.net/11441/87529
https://idus.us.es/handle//11441/87529
https://zbmath.org/2120156
https://doi.org/10.4064/sm166-1-4
https://idus.us.es/handle/11441/87529
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-1-4
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/166/1/90493/linear-kierst-8211-szpilrajn-theorems

Analytic continuation and stability of operator semigroups

Authors: Yuri Tomilov, Ralph Chill

Source: Journal d'Analyse Mathématique. 93:331-357

Subject Terms: analytic continuation, One-parameter semigroups and linear evolution equations, 0101 mathematics, stability of semigroups, semigroups of operators, 01 natural sciences, Analytic continuation of functions of one complex variable

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Access URL: https://zbmath.org/2209614
https://doi.org/10.1007/bf02789312
https://link.springer.com/article/10.1007/BF02789312

Analyticity on families of circles

Authors: Josip Globevnik

Source: Israel Journal of Mathematics. 142:29-45

Subject Terms: Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, Analytic continuation of functions of one complex variable

File Description: application/xml

Access URL: http://arxiv.org/pdf/math/0311238
http://arxiv.org/abs/math/0311238
https://link.springer.com/article/10.1007/BF02771526

A Generalization of Men'shov's Theorem on Functions Satisfying Condition K″: A generalization of Men'shov's theorem on functions satisfying the condition \(K''\).

Authors: D. S. Telyakovskii

Source: Mathematical Notes. 76:534-545

Subject Terms: Monogenic and polygenic functions of one complex variable, holomorphic functions, dilation, mapping, 0101 mathematics, 01 natural sciences, Analytic continuation of functions of one complex variable, triple of pairwise non-colinear rays

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Access URL: https://zbmath.org/2177664
https://doi.org/10.1023/b:matn.0000043483.90707.4d
https://link.springer.com/content/pdf/10.1023/B:MATN.0000043483.90707.4d.pdf
https://link.springer.com/article/10.1023/B:MATN.0000043483.90707.4d

Extending analyticK-subanalytic functions: Extending analytic \(K\)-subanalytic functions

Authors: Artur Piękosz

Source: Open Mathematics, Vol 2, Iss 3, Pp 362-367 (2004)

Subject Terms: primary: 14p15, 26e05, 32b20, Real-analytic and semi-analytic sets, second: 30b40, 03c64, \(K\)-subanalytic, 01 natural sciences, k-subanalytic, Real-analytic functions, o-minimal, analytic extension, 0103 physical sciences, QA1-939, \(o\)-minimal, Semi-analytic sets, subanalytic sets, and generalizations, 0101 mathematics, Mathematics, Analytic continuation of functions of one complex variable, Model theory of ordered structures, o-minimality

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Access URL: https://doaj.org/article/7cab03d6a146424a8ec09e8dada951e1
https://eudml.org/doc/268854
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.doi-10_2478_BF02475232
https://link.springer.com/article/10.2478%2FBF02475232

Atoms and regularity for measures in a partially defined free convolution semigroup

Authors: S. T. Belinschi, Hari Bercovici

Source: Mathematische Zeitschrift. 248:665-674

Subject Terms: Free probability and free operator algebras, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, 0101 mathematics, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, 01 natural sciences, Analytic continuation of functions of one complex variable, General properties of functions of one complex variable

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Access URL: https://zbmath.org/2131998
https://doi.org/10.1007/s00209-004-0671-y
https://link.springer.com/article/10.1007/s00209-004-0671-y
https://dialnet.unirioja.es/servlet/articulo?codigo=2807310
https://documat.unirioja.es/servlet/articulo?codigo=2807310

Domains of Holomorphy of Generating Functions of Pólya Frequency Sequences of Finite Order*: Domains of holomorphy of generating functions of Pólya frequency sequences of finite order

Authors: Maria Teresa Alzugaray

Source: Positivity. 8:89-100

Subject Terms: Pólya frequency sequence, Mathematics - Complex Variables, 0211 other engineering and technologies, domain of holomorphy, 02 engineering and technology, 01 natural sciences, Power series (including lacunary series) in one complex variable, multiply positive sequence, Mathematics - Classical Analysis and ODEs, total positivity, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, Analytic continuation of functions of one complex variable, 30B10,30B40

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Access URL: http://arxiv.org/pdf/math/0210399
http://arxiv.org/abs/math/0210399
https://zbmath.org/2081979
https://doi.org/10.1023/b:post.0000023234.55851.68
https://link.springer.com/article/10.1023/B:POST.0000023234.55851.68

Prolongations and Cyclic Vectors: Prolongations and cyclic vectors

Authors: William T. Ross, Harold S. Shapiro

Source: Computational Methods and Function Theory. 3:453-483

Subject Terms: backward shift operator, analytic continuation, pseudocontinuation, Linear operators on function spaces (general), 0101 mathematics, 01 natural sciences, Analytic continuation of functions of one complex variable

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Access URL: https://zbmath.org/2112950
https://doi.org/10.1007/bf03321049
https://scholarship.richmond.edu/cgi/viewcontent.cgi?article=1028&context=mathcs-faculty-publications
https://scholarship.richmond.edu/mathcs-faculty-publications/21/
https://link.springer.com/article/10.1007/BF03321049

A weak criterion for vector-valued holomorphy

Authors: Karl-Goswin Grosse-Erdmann

Source: Mathematical Proceedings of the Cambridge Philosophical Society. 136:399-411

Subject Terms: weak holomorphy, 0101 mathematics, Infinite-dimensional holomorphy, 01 natural sciences, Analytic continuation of functions of one complex variable, locally complete space

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Access URL: https://zbmath.org/2068570
https://doi.org/10.1017/s0305004103007254
https://ui.adsabs.harvard.edu/abs/2004MPCPS.136..399G/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=827573

Determination of the pluripolar hull of graphs of certain holomorphic functions: Determination of the pluripolar hull of graphs of certain holomorphic functions.

Authors: Edigarian, Armen, Wiegerinck, Jan

Source: Annales de l’institut Fourier. 54:2085-2104

Subject Terms: Mathematics - Complex Variables, 30B40, 31B15, pluripolar hull, complete pluripolar set, graph of holomorphic function, Continuation of analytic objects in several complex variables, 32U30, 01 natural sciences, Removable sets in pluripotential theory, Potentials and capacities, extremal length and related notions in higher dimensions, pluriharmonic measure, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, Analytic continuation of functions of one complex variable, plurisubharmonic function

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Access URL: http://arxiv.org/pdf/math/0310239
http://arxiv.org/abs/math/0310239
https://zbmath.org/2162450
https://doi.org/10.5802/aif.2075
https://core.ac.uk/display/85888967
https://aif.centre-mersenne.org/article/AIF_2004__54_6_2085_0.pdf
https://aif.centre-mersenne.org/item/AIF_2004__54_6_2085_0/
https://eudml.org/doc/116168
https://ruj.uj.edu.pl/xmlui/handle/item/81220

A morera type theorem in the strip: A Morera type theorem in the strip

Authors: Alexander Tumanov

Source: Mathematical Research Letters. 11:23-29

Subject Terms: Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, Analytic continuation of functions of one complex variable

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Access URL: http://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2004/0011/0001/MRL-2004-0011-0001-a003.pdf
http://arxiv.org/abs/math/0208136
https://experts.illinois.edu/en/publications/a-morera-type-theorem-in-the-strip
https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0011/0001/a003/
https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2004/0011/0001/MRL-2004-0011-0001-a003.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=848874

Analyticity on circles for rational and real-analytic functions of two real variables

Authors: Josip Globevnik, Mark Agranovsky

Source: Journal d'Analyse Mathématique. 91:31-65

Subject Terms: 0101 mathematics, 01 natural sciences, Analytic continuation of functions of one complex variable, Real-analytic functions

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Access URL: https://link.springer.com/article/10.1007/BF02788781

Extension Operators with Analytic Values: Extension operators with analytic values

Authors: Christelle Boonen, Leonhard Frerick

Source: Results in Mathematics. 44:242-257

Subject Terms: holomorphic extension, extension operator, Topological linear spaces of continuous, differentiable or analytic functions, 0101 mathematics, Whitney jets, 01 natural sciences, Analytic continuation of functions of one complex variable

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Access URL: https://link.springer.com/content/pdf/10.1007/BF03322985.pdf
https://link.springer.com/article/10.1007/BF03322985

Removable singularities for analytic functions in BMO and locally Lipschitz spaces

Authors: Björn, Anders

Source: Mathematische Zeitschrift. 244:805-835

Subject Terms: Matematik, Banach spaces of continuous, differentiable or analytic functions, Normal functions of one complex variable, normal families, removable singularities of analytic functions, 0101 mathematics, 01 natural sciences, Mathematics, Analytic continuation of functions of one complex variable, \(H^p\)-classes

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Access URL: http://liu.diva-portal.org/smash/get/diva2:217337/FULLTEXT01
https://zbmath.org/1983499
https://doi.org/10.1007/s00209-003-0524-0
http://liu.diva-portal.org/smash/record.jsf?pid=diva2:217337
https://link.springer.com/article/10.1007%2Fs00209-003-0524-0
http://www.diva-portal.org/smash/record.jsf?pid=diva2:217337
https://core.ac.uk/display/36268340
http://liu.diva-portal.org/smash/get/diva2:217337/FULLTEXT01
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-18247

Inverse functions of polynomials and orthogonal polynomials as operator monotone functions

Authors: Mitsuru Uchiyama

Source: Transactions of the American Mathematical Society. 355:4111-4123

Subject Terms: Positive matrices and their generalizations, cones of matrices, semi-operator monotone function, inverses of polynomials, Linear operator inequalities, 0101 mathematics, operator monotone function, 01 natural sciences, Analytic continuation of functions of one complex variable

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Access URL: https://www.ams.org/tran/2003-355-10/S0002-9947-03-03355-5/S0002-9947-03-03355-5.pdf
https://zbmath.org/1955458
https://doi.org/10.1090/s0002-9947-03-03355-5
https://www.ams.org/tran/2003-355-10/S0002-9947-03-03355-5/S0002-9947-03-03355-5.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=644697
https://www.ams.org/journals/tran/2003-355-10/S0002-9947-03-03355-5/home.html
https://www.jstor.org/stable/1194750

Efficient Analytic Continuation of Power Series by Matrix Summation Methods: Efficient analytic continuation of power series by matrix summation methods

Authors: Norair Arakelian, Wolfgang Luh

Source: Computational Methods and Function Theory. 2:137-153

Subject Terms: analytic continuation, Matrix methods for summability, matrix summation method, 06 humanities and the arts, 0101 mathematics, 0603 philosophy, ethics and religion, 01 natural sciences, Analytic continuation of functions of one complex variable

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Access URL: https://link.springer.com/article/10.1007/BF03321013