Search Results - "Entire functions of several complex variables"

Multidimensional analogues of the Euler–Maclaurin summation formula and the Borel transform of power series: Multidimensional analogues of the Euler-Maclaurin summation formula and the Borel transform of power series

Authors: Leinartas, Evgeniy Konstantinovich Petrochenko, Maksim Evgenyevich

Source: Sibirskie Elektronnye Matematicheskie Izvestiya. 19:91-100

Subject Terms: summation of functions, Euler-Maclaurin formula in numerical analysis, Entire functions of several complex variables, Euler-Maclaurin formula, Borel transform of power series

File Description: application/xml

Boas–Kac roots of positive definite functions of several variables: Boas-Kac roots of positive definite functions of several variables

Authors: R. Akopyan A. Efimov

Source: Analysis Mathematica. 43:359-369

Subject Terms: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Entire functions of several complex variables, entire function, Positive definite functions in one variable harmonic analysis, positive definite function, 0101 mathematics, Boas-Kac root, 16. Peace & justice, 01 natural sciences

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Access URL: https://zbmath.org/6837258
https://doi.org/10.1007/s10476-017-0202-9
https://link.springer.com/article/10.1007/s10476-017-0202-9
https://link.springer.com/content/pdf/10.1007%2Fs10476-017-0202-9.pdf

Interpolating varieties for entire functions of minimal type

Authors: Bao Qin Li

Source: Advances in Mathematics. 194:87-104

Subject Terms: Mathematics(all), Entire functions of several complex variables, Analytic subsets and submanifolds, holomorphic mapping, Holomorphic, polynomial and rational approximation, and interpolation in several complex variables, Runge pairs, Ehrenpreis-Hörmander weight, 01 natural sciences, Holomorphic mapping, Minimal type, Entire function, entire functions of minimal type, interpolating variety, Topological linear spaces of continuous, differentiable or analytic functions, Interpolating variety, 0101 mathematics, Jacobian

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Access URL: https://zbmath.org/2181982
https://doi.org/10.1016/j.aim.2004.05.010
https://dialnet.unirioja.es/servlet/articulo?codigo=1338262
https://core.ac.uk/display/82553213
https://www.sciencedirect.com/science/article/abs/pii/S0001870804001720
https://www.sciencedirect.com/science/article/pii/S0001870804001720

MULTIVARIATE SAMPLING THEOREMS ASSOCIATED WITH MULTIPARAMETER DIFFERENTIAL OPERATORS: Multivariate sampling theorems associated with multiparameter differential operators

Authors: M. H. Annaby

Source: Proceedings of the Edinburgh Mathematical Society. 48:257-277

Subject Terms: Parameter dependent boundary value problems for ordinary differential equations, multiparameter eigenvalue problems, Shannon theorems, Entire functions of several complex variables, 0101 mathematics, Lagrange interpolations, 01 natural sciences, Sampling theory in information and communication theory, sampling theory

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Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E5E254D256BC8E6A0AD1C7F5A67D2FA5/S0013091504000100a.pdf/div-class-title-multivariate-sampling-theorems-associated-with-multiparameter-differential-operators-div.pdf
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E5E254D256BC8E6A0AD1C7F5A67D2FA5/S0013091504000100a.pdf/div-class-title-multivariate-sampling-theorems-associated-with-multiparameter-differential-operators-div.pdf
https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/multivariate-sampling-theorems-associated-with-multiparameter-differential-operators/E5E254D256BC8E6A0AD1C7F5A67D2FA5

Entire Solutions of: Entire solutions of \((u_{z_{1}})^{m}+(u_{z_{2}})^{n}=e^{g}\)

Authors: Li, Bao Qin

Source: Nagoya Math. J. 178 (2005), 151-162

Subject Terms: 13. Climate action, Nonlinear first-order PDEs, Entire functions of several complex variables, 32A15, geometrical optics, wave propagation, 0101 mathematics, 35F20, Nevanlinna theory, growth estimates, other inequalities of several complex variables, 32A22, 01 natural sciences

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Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/64BCFF3793A101B8DE24D950B339E67E/S0027763000009156a.pdf/div-class-title-entire-solutions-of-img-mimesubtype-gif-type-simple-src-staticdomain-resource-id-urn-cambridge-org-id-binary-20180130102059951-0712-s0027763000009156-s0027763000009156-inline1-gif-pub-status-live-img-div.pdf
https://zbmath.org/2211622
https://doi.org/10.1017/s0027763000009156
https://www.cambridge.org/core/journals/nagoya-mathematical-journal/article/entire-solutions-of/64BCFF3793A101B8DE24D950B339E67E
https://projecteuclid.org/euclid.nmj/1124217075
https://projecteuclid.org/download/pdf_1/euclid.nmj/1124217075
http://projecteuclid.org/download/pdf_1/euclid.nmj/1124217075
http://projecteuclid.org/euclid.nmj/1124217075

Entire solutions of certain partial differential equations and factorization of partial derivatives

Authors: Bao Qin Li

Source: Transactions of the American Mathematical Society. 357:3169-3177

Subject Terms: Fermat type PDE, Nonlinear first-order PDEs, Entire functions of several complex variables, 0101 mathematics, Nevanlinna theory, growth estimates, other inequalities of several complex variables, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/tran/2005-357-08/S0002-9947-04-03745-6/S0002-9947-04-03745-6.pdf
https://documat.unirioja.es/servlet/articulo?codigo=2203966
https://www.ams.org/journals/tran/2005-357-08/S0002-9947-04-03745-6/
https://dialnet.unirioja.es/servlet/articulo?codigo=2203966
https://www.jstor.org/stable/3845093
https://www.ams.org/tran/2005-357-08/S0002-9947-04-03745-6/S0002-9947-04-03745-6.pdf

A UNICITY THEOREM FOR ENTIRE FUNCTIONS OF SEVERAL COMPLEX VARIABLES: A unicity theorem for entire functions of several complex variables

Authors: Lu Jin

Source: Chinese Annals of Mathematics. 25:483-492

Subject Terms: total derivative, Entire functions of several complex variables, entire function, unicity theorem, 0101 mathematics, Nevanlinna theory, growth estimates, other inequalities of several complex variables, Value distribution theory in higher dimensions, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2152523
https://doi.org/10.1142/s0252959904000433
https://www.worldscientific.com/doi/abs/10.1142/S0252959904000433

ON ENTIRE SOLUTIONS OF FERMAT TYPE PARTIAL DIFFERENTIAL EQUATIONS: On entire solutions of Fermat type partial differential equations.

Authors: Bao Qin Li

Source: International Journal of Mathematics. 15:473-485

Subject Terms: Other partial differential equations of complex analysis in several variables, homogeneous polynomial, Nonlinear first-order PDEs, Entire functions of several complex variables, prime solution, transcendental function, 0101 mathematics, 01 natural sciences, Solutions to PDEs in closed form

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Access URL: https://www.worldscientific.com/doi/abs/10.1142/S0129167X04002399

Convolution Equations in spaces of Entire Functions of Exponential Type: Convolution equations in spaces of entire functions of exponential type

Authors: V. M. Trutnev

Source: Journal of Mathematical Sciences. 120:1901-1915

Subject Terms: Convolution as an integral transform, entire function of exponential type, Cauchy problem, Entire functions of several complex variables, shift-invariant subspace, convolution equation, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2170264
https://doi.org/10.1023/b:joth.0000020709.31698.80
https://link.springer.com/content/pdf/10.1023/B:JOTH.0000020709.31698.80.pdf
https://link.springer.com/article/10.1023/B%3AJOTH.0000020709.31698.80

Hankel operators with antiholomorphic symbols on the Fock space

Authors: Georg Schneider

Source: Proceedings of the American Mathematical Society. 132:2399-2409

Subject Terms: 1010 Mathematics, Hankel operator, 1010 Mathematik, Entire functions of several complex variables, Toeplitz operators, Hankel operators, Wiener-Hopf operators, 0101 mathematics, 01 natural sciences, Fock space

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Access URL: https://www.ams.org/proc/2004-132-08/S0002-9939-04-07362-9/S0002-9939-04-07362-9.pdf
https://zbmath.org/2091047
https://doi.org/10.1090/s0002-9939-04-07362-9
https://ucrisportal.univie.ac.at/de/publications/099cd590-3e9a-49af-8b62-62608e6ae828
https://www.ams.org/journals/proc/2004-132-08/S0002-9939-04-07362-9/home.html
https://dialnet.unirioja.es/servlet/articulo?codigo=944243
https://www.ams.org/proc/2004-132-08/S0002-9939-04-07362-9/S0002-9939-04-07362-9.pdf

Density of Polynomial Elements in Invariant Subspaces of Entire Functions of Exponential Type: Density of polynomial elements in invariant subspaces of entire functions of exponential type

Authors: V. M. Trutnev

Source: Mathematical Notes. 75:387-390

Subject Terms: spectral synthesis, Laplace transform of functional, Invariant subspaces of linear operators, Entire functions of several complex variables, exponential polynomials, Runge domain, Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)), characteristic analytic set, 01 natural sciences, entire function of exponential type, Noetherian ring, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Banach spaces of continuous, differentiable or analytic functions, translation invariant subspaces, holomorphic function, primary ideal, annihilator ideal, 0101 mathematics

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Access URL: https://zbmath.org/2121367
https://doi.org/10.1023/b:matn.0000023317.50105.73
https://link.springer.com/10.1023/B:MATN.0000023317.50105.73
https://rd.springer.com/article/10.1023/B%3AMATN.0000023317.50105.73
https://www.infona.pl/resource/bwmeta1.element.springer-4bd098ae-3069-31d2-8330-5612e346d6d3
https://link.springer.com/article/10.1023%2FB%3AMATN.0000023317.50105.73

The Dirichlet problem when the boundary function is entire

Authors: Armitage, David

Source: Journal of Mathematical Analysis and Applications. 291:565-577

Subject Terms: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Applied Mathematics, Entire functions of several complex variables, entire function, name=Analysis, name=Applied Mathematics, 01 natural sciences, Boundary value problems for second-order elliptic equations, harmonic extension, growth rate, 0101 mathematics, Analysis, Dirichlet problem

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Access URL: https://zbmath.org/2075643
https://doi.org/10.1016/j.jmaa.2003.11.016
https://www.sciencedirect.com/science/article/pii/S0022247X03008527#!
https://www.sciencedirect.com/science/article/abs/pii/S0022247X03008527
http://pure.qub.ac.uk/portal/en/publications/the-dirichlet-problem-where-the-boundary-function-is-entire(e335aa3b-4d13-4971-b7d7-7ce288c1cd2b).html
https://pure.qub.ac.uk/portal/en/publications/the-dirichlet-problem-where-the-boundary-function-is-entire(e335aa3b-4d13-4971-b7d7-7ce288c1cd2b).html
https://core.ac.uk/display/82639094

Bernstein-Type Theorems and Uniqueness Theorems: Bernstein-type theorems and uniqueness theorems

Authors: Logvinenko, V. Nazarova, N.

Source: Ukrainian Mathematical Journal. 56:244-263

Subject Terms: Entire functions of several complex variables, entire function of finite type, Holomorphic, polynomial and rational approximation, and interpolation in several complex variables, Runge pairs, 0101 mathematics, ????????????, approximation, uniqueness theorem, 01 natural sciences, Bernstein-type theorem

File Description: application/xml

Access URL: http://dspace.nbuv.gov.ua/xmlui/bitstream/123456789/163542/1/06-Logvinenko.pdf
https://zbmath.org/2210482
https://doi.org/10.1023/b:ukma.0000036096.08822.93
https://link.springer.com/article/10.1023/B%3AUKMA.0000036099.14798.f9
http://dspace.nbuv.gov.ua/handle/123456789/163542

On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of \bar{\partial }-closed (n,n-1)-forms: On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of \(\overline{\partial}\)-closed \((n,n-1)\)-forms

Authors: Telemachos Hatziafratis

Source: Annales mathématiques Blaise Pascal. 11:41-46

Subject Terms: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels), Entire functions of several complex variables, entire function, analytic functional

File Description: application/xml

Access URL: https://zbmath.org/2207857
https://doi.org/10.5802/ambp.184
https://ambp.centre-mersenne.org/articles/10.5802/ambp.184/
https://eudml.org/doc/10498
https://ambp.centre-mersenne.org/item/10.5802/ambp.184.pdf
http://ambp.cedram.org/item?id=AMBP_2004__11_1_41_0

Un système de résultants pour tester la propreté d'une application polynomiale

Authors: Hai Zhang

Source: Colloquium Mathematicum. 99:19-40

Subject Terms: Entire functions of several complex variables

File Description: application/xml

Access URL: https://www.impan.pl/shop/publication/transaction/download/product/87031?download.pdf
https://zbmath.org/2106947
https://doi.org/10.4064/cm99-1-3
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-1-3
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/colloquium-mathematicum/all/99/1/87031/un-systeme-de-resultants-pour-tester-la-proprete-d-une-application-polynomiale

Properties of Entire Functions Over Polynomial Rings via Gröbner Bases: Properties of entire functions over polynomial rings via Gröbner bases

Authors: T. Winiarski P. Tworzewski Jürgen Stückrad et al.

Source: Applicable Algebra in Engineering, Communication and Computing. 14:1-10

Subject Terms: Polynomial rings and ideals, rings of integer-valued polynomials, 0209 industrial biotechnology, Entire functions of one complex variable (general theory), ring of entire functions, Hilbert's Nullstellensatz for entire functions, Entire functions of several complex variables, 02 engineering and technology, Gröbner bases, other bases for ideals and modules (e.g., Janet and border bases), 0101 mathematics, Gröbner basis, 01 natural sciences

File Description: application/xml

Access URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.205.919
https://link.springer.com/article/10.1007/s00200-003-0123-7
https://dblp.uni-trier.de/db/journals/aaecc/aaecc14.html#ApelSTW03
https://link.springer.com/content/pdf/10.1007/s00200-003-0123-7.pdf

On the order and type of basic and composite sets of polynomials in complete Reinhardt domains

Authors: A. El-Sayed Ahmed Z. M. G. Kishka

Source: Periodica Mathematica Hungarica. 46:67-79

Subject Terms: Special families of functions of several complex variables, polynomials, Entire functions of several complex variables, Reinhardt domains, Other generalizations of function theory of one complex variable, order and type, 0101 mathematics, several complex variables, 01 natural sciences, Power series, series of functions of several complex variables, entire functions

File Description: application/xml

Access URL: https://zbmath.org/2016841
https://doi.org/10.1023/a:1025705824816
https://link.springer.com/article/10.1023/A:1025705824816
https://dblp.uni-trier.de/db/journals/pmh/pmh46.html#KishkaA03
https://doi.org/10.1023/A%3A1025705824816
https://link.springer.com/10.1023/A:1025705824816

on the order and type of basic and composite sets of polynomials in complete reinhardt domains: On the order and type of basic and composite sets of polynomials in complete Reinhardt domains

Authors: A. El-Sayed Ahmed Z. M. G. Kishka

Source: Periodica Mathematica Hungarica. 46(1):67-79

Subject Terms: Special families of functions of several complex variables, polynomials, Entire functions of several complex variables, Reinhardt domains, Other generalizations of function theory of one complex variable, order and type, several complex variables, Power series, series of functions of several complex variables, entire functions

File Description: application/xml

Access URL: https://zbmath.org/2016841
https://doi.org/10.1023/a:1025705824816
https://link.springer.com/article/10.1023/A:1025705824816
https://dblp.uni-trier.de/db/journals/pmh/pmh46.html#KishkaA03
https://doi.org/10.1023/A%3A1025705824816
https://link.springer.com/10.1023/A:1025705824816

On a two-variable zeta function for number fields: On a two-variable zeta function for number fields.

Authors: Eric M. Rains Jeffrey C. Lagarias

Source: Annales de l’institut Fourier. 53:1-68

Subject Terms: Mathematics - Number Theory, Mathematics - Complex Variables, Entire functions of several complex variables, Arakelov divisors, 01 natural sciences, 11M41 Primary, 14G40, 60E37 Secondary, Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\), Riemann and other hypotheses, Mathematics - Algebraic Geometry, zeta functions, FOS: Mathematics, functional equation, Number Theory (math.NT), Complex Variables (math.CV), 0101 mathematics, Other Dirichlet series and zeta functions, Algebraic Geometry (math.AG), infinitely divisible distributions

File Description: application/xml

Access URL: https://authors.library.caltech.edu/82725/1/AIF_2003__53_1_1_0.pdf
http://arxiv.org/abs/math/0104176
https://zbmath.org/1883515
https://doi.org/10.5802/aif.1939
http://www.numdam.org/item/10.5802/aif.1939.pdf
http://www.numdam.org/item/AIF_2003__53_1_1_0/
https://aif.centre-mersenne.org/item/?id=AIF_2003__53_1_1_0
https://aif.centre-mersenne.org/item/10.5802/aif.1939.pdf
http://archive.numdam.org/article/AIF_2003__53_1_1_0.pdf
http://archive.numdam.org/item/AIF_2003__53_1_1_0/

A study on bornological properties of the space of entire functions of several complex variables

Authors: Mushtaq Shaker Abdul-Hussein G. S. Srivastava

Source: Tamkang Journal of Mathematics. 33:289-302

Subject Terms: Mackey convergence, spaces of entire functions, Entire functions of several complex variables, Bornology, 0103 physical sciences, Topological linear spaces of continuous, differentiable or analytic functions, Bornologies and related structures, Mackey convergence, etc, 01 natural sciences

File Description: application/xml

Access URL: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/277/270
https://zbmath.org/1925970