Search Results - Functions of hypercomplex variables AND generalized variables

Dirichlet Boundary Value Problems for Monogenic Functions of Prescribed Hölder Continuously Differentiable Data on Distinguishing Boundaries in Clifford Analysis: Dirichlet boundary value problems for monogenic functions of prescribed Hölder continuously differentiable data on distinguishing boundaries in Clifford analysis

Authors: Dao Viet Cuong Wolfgang Tutschke Le Hung Son

Source: Complex Analysis and Operator Theory. 19

Subject Terms: monogenic functions, Boundary value problems for linear first-order PDEs, Cauchy-Riemann system in higher dimensions, Functions of hypercomplex variables and generalized variables, boundary value problem, Boundary value and inverse problems for harmonic functions in higher dimensions, Clifford analysis

File Description: application/xml

Access URL: https://zbmath.org/8033586
https://doi.org/10.1007/s11785-025-01679-6

On spherical shells containing all the zeros of a quaternionic polynomial

Authors: Gradimir V. Milovanović Abdullah Mir Wasim Ahmad Thoker et al.

Source: Analysis. 45:139-148

Subject Terms: Functions of hypercomplex variables and generalized variables, zeros, quaternionic polynomials

File Description: application/xml

H-B Theorems of Cauchy Integral Operators in Clifford Analysis: H-B theorems of Cauchy integral operators in Clifford analysis

Authors: Yufeng Wang Zhongxiang Zhang

Source: Advances in Applied Clifford Algebras. 35

Subject Terms: Functions of hypercomplex variables and generalized variables, Series solutions to PDEs, Cauchy integral operator, Clifford algebra, generalized Hölder norm, Harmonic, subharmonic, superharmonic functions in higher dimensions

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Bergman spaces and reproducing kernel for the biquaternionic Vekua equation

Authors: Víctor A. Vicente-Benítez

Source: Boletín de la Sociedad Matemática Mexicana. 31

Subject Terms: Bergman spaces and Fock spaces, Mathematics - Analysis of PDEs, Functions of hypercomplex variables and generalized variables, Bergman spaces, Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.), reproducing integral kernel, FOS: Mathematics, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 30G20, 30G35, 30H20, 46E22, biquaternionic Vekua equation, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2406.07744
https://zbmath.org/8032028
https://doi.org/10.1007/s40590-025-00714-y

Differentiable functions of quaternion variables: Differentiable functions of quaternion variables.

Authors: Ludkovsky, S.V. Van Oystaeyen, Freddy

Source: Bulletin des sciences mathématiques

Subject Terms: quaternionic analysis, Mathematics(all), 30C99 (Primary), 12E15, 30E20 (Secondary), Noncommutative algebraic geometry, Complex supergeometry, Mathematics - Complex Variables, Manifold, 01 natural sciences, Quaternion function, superanalysis, Functions of hypercomplex variables and generalized variables, FOS: Mathematics, noncommutative geometry, Complex Variables (math.CV), 0101 mathematics, Noncommutative geometry superanalysis, Mathematics

File Description: application/xml; pdf

Access URL: http://arxiv.org/abs/math/0209166
https://zbmath.org/2017284
https://doi.org/10.1016/s0007-4497(03)00063-0
http://www.sciencedirect.com/science/article/pii/S0007449703000630
http://ui.adsabs.harvard.edu/abs/2002math......9166L/abstract
https://www.sciencedirect.com/science/article/pii/S0007449703000630
https://repository.uantwerpen.be/docman/irua/bc8833/4984.pdf
https://hdl.handle.net/10067/1037880151162165141

Discrete pseudo‐differential operators in hypercomplex analysis

Authors: Paula Cerejeiras Uwe Kaehler Simão Lucas

Source: Mathematical Methods in the Applied Sciences. 47:8025-8041

Subject Terms: functions of hypercomplex variables and generalized variables, discrete Dirac operators, discrete symbols, pseudodifferential operators, 0101 mathematics, 01 natural sciences

Access URL: http://hdl.handle.net/10773/43202

Analysis of the module determining the properties of regular functions of several quaternionic variables: Analysis of the module determining the properties of regular functions of several quaternionic variables.

Authors: Philippe Loustaunau William W. Adams

Source: Pacific Journal of Mathematics. 196:1-15

Subject Terms: quaternions, dimension, Functions of hypercomplex variables and generalized variables, Hilbert function, Cauchy-Fueter operator, reverse lexicographical ordering, Gröbner bases, other bases for ideals and modules (e.g., Janet and border bases), 0101 mathematics, Syzygies, resolutions, complexes and commutative rings, syzygies, 01 natural sciences

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Access URL: http://msp.org/pjm/2000/196-1/pjm-v196-n1-p01-s.pdf
https://zbmath.org/1589566
https://doi.org/10.2140/pjm.2000.196.1
https://msp.org/pjm/2000/196-1/p01.xhtml
https://msp.org/pjm/2000/196-1/pjm-v196-n1-p01-s.pdf
http://core.ac.uk/display/24658859

Elements of geometric theory for functions of quaternionic variable

Authors: Sorin G. Gal

Source: Advances in Applied Clifford Algebras. 10:91-106

Subject Terms: Functions of hypercomplex variables and generalized variables, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1568596
https://doi.org/10.1007/bf03042011
https://link.springer.com/article/10.1007/BF03042011
https://link.springer.com/content/pdf/10.1007/BF03042011.pdf

Holomorphic synthesis of monogenic functions of several quaternionic variables

Authors: Victor Palamodov

Source: Journal d'Analyse Mathématique. 78:177-204

Subject Terms: quaternionic analysis, Functions of hypercomplex variables and generalized variables, 0103 physical sciences, complex structures in quaternions, 0101 mathematics, 01 natural sciences, polymonogenic functions

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Access URL: https://link.springer.com/content/pdf/10.1007/BF02791133.pdf
https://link.springer.com/article/10.1007%2FBF02791133

Quaternionic inner and outer functions

Authors: Alessandro Monguzzi Giulia Sarfatti Daniel Seco et al.

Contributors: Alessandro Monguzzi Giulia Sarfatti Daniel Seco et al.

Source: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid
instname
Concrete Operators, Vol 6, Iss 1, Pp 44-57 (2019)

Subject Terms: Primary 30G35, Secondary 30H10, 30J05, functions of a quaternionic variable, inner and outer functions, primary 30g35, Matemáticas, Mathematics - Complex Variables, Secondary 30H10, 30J05, 02 engineering and technology, Functions of hypercomplex variables and generalized variables, Hardy spaces, Inner functions, outer functions, 01 natural sciences, QA1-939, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, secondary 30h10, 30j05, Complex Variables (math.CV), 0101 mathematics, Mathematics

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Access URL: https://www.degruyter.com/downloadpdf/journals/conop/6/1/article-p44.pdf
http://arxiv.org/abs/1810.10070
https://hdl.handle.net/10016/32609
https://doaj.org/article/200136290f0f45b4bc5c3ef9c9b90d8d
https://boa.unimib.it/handle/10281/231558
https://flore.unifi.it/handle/2158/1153760

Spectral properties of the gradient operator with nonconstant coefficients

Authors: Colombo, F. Mantovani, F. Schlosser, P.

Source: Analysis and Mathematical Physics. 14

Subject Terms: Functional calculus for linear operators, Mathematics - Functional Analysis, Quaternionic operator theory, General theory of partial differential operators, Functions of hypercomplex variables and generalized variables, \(S\)-spectrum, boundary value problems, vector operators, FOS: Mathematics, Spectrum, resolvent, \(S\)-resolvent operator, Functional Analysis (math.FA)

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Access URL: http://arxiv.org/abs/2404.17911

Errata to: The algebra of slice functions

Authors: Ghiloni, Riccardo Perotti, Alessandro Stoppato, Caterina

Source: Transactions of the American Mathematical Society.

Subject Terms: 30G35 Functions of hypercomplex variables and generalized variables, 17D05 Alternative rings, 32A30 Other generalizations of function theory of one complex variable, 30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable, 0101 mathematics, 01 natural sciences

File Description: application/pdf

Access URL: https://hdl.handle.net/2158/1246758
https://doi.org/10.1090/tran/8574

More About Bicomplex Möbius Transformations: Geometric, Algebraic and Analitical Aspects: More about bicomplex Möbius transformations: geometric, algebraic and analitical aspects

Authors: M. Elena Luna–Elizarrarás Anatoly Golberg

Source: Advances in Applied Clifford Algebras. 34

Subject Terms: Functions of hypercomplex variables and generalized variables, Möbius transformation, bicomplex numbers

File Description: application/xml

Access URL: https://zbmath.org/7877967
https://doi.org/10.1007/s00006-024-01323-0

Monogenic Modular Forms in Two and Several Real and Complex Vector Variables: Monogenic modular forms in two and several real and complex vector variables

Authors: Rolf Sören Kraußhar

Source: Computational Methods and Function Theory. 2:299-318

Subject Terms: Modular and automorphic functions, Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Functions of hypercomplex variables and generalized variables, Automorphic forms on \(\mbox{GL}(2)\), Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms, Hilbert modular surfaces, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://biblio.ugent.be/publication/287760
https://link.springer.com/article/10.1007/BF03321851

Generalized Lebesgue integrals of fuzzy complex valued functions

Authors: Xiaoping Li Guijun Wang

Source: Fuzzy Sets and Systems. 127:363-370

Subject Terms: Functions of hypercomplex variables and generalized variables, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 01 natural sciences, 0105 earth and related environmental sciences

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Access URL: https://dblp.uni-trier.de/db/journals/fss/fss127.html#WangL02
https://www.sciencedirect.com/science/article/pii/S0165011401000689
http://www.sciencedirect.com/science/article/pii/S0165011401000689

TWO-DIMENSIONAL SINGULAR INTEGRAL EQUATIONS OF THE HYPERCOMPLEX FUNCTIONS: Two-dimensional singular integral equations of the hypercomplex functions

Authors: Chungen Liu

Source: Acta Mathematica Scientia. 16:44-50

Subject Terms: Fredholm conditions, Functions of hypercomplex variables and generalized variables, index formula, singular integral equations, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), 0101 mathematics, hypercomplex functions, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/976136
https://www.sciencedirect.com/science/article/pii/S0252960217307774

GENERALIZED MEROMORPHIC FUNCTIONS: Generalized meromorphic functions

Authors: S A Grigoryan

Source: Russian Academy of Sciences. Izvestiya Mathematics. 42:133-147

Subject Terms: Functions of hypercomplex variables and generalized variables, 0103 physical sciences, big plane, 0101 mathematics, Meromorphic functions of one complex variable (general theory), 01 natural sciences

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Access URL: http://iopscience.iop.org/article/10.1070/IM1994v042n01ABEH001527/pdf
https://iopscience.iop.org/article/10.1070/IM1994v042n01ABEH001527
https://ui.adsabs.harvard.edu/abs/1994IzMat..42..133G/abstract

The divisor of a generalized analytic function

Authors: S. A. Grigoryan

Source: Mathematical Notes. 61:547-552

Subject Terms: order of zero, generalized analytic function, Functions of hypercomplex variables and generalized variables, divisor, almost periodic function, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1238041
https://doi.org/10.1007/bf02355074
https://link.springer.com/article/10.1007/BF02355074
https://link.springer.com/content/pdf/10.1007/BF02355074.pdf

Generalized analytic functions

Authors: S A Grigoryan

Source: Russian Mathematical Surveys. 49:1-40

Subject Terms: Commutative Banach algebras and commutative topological algebras, Functions of hypercomplex variables and generalized variables, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, 0103 physical sciences, Analysis on ordered groups, \(H^p\)-theory, 0101 mathematics, Meromorphic functions of one complex variable (general theory), 01 natural sciences

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Access URL: http://iopscience.iop.org/article/10.1070/RM1994v049n02ABEH002202
https://iopscience.iop.org/article/10.1070/RM1994v049n02ABEH002202
https://ui.adsabs.harvard.edu/abs/1994RuMaS..49R...1G/abstract
https://iopscience.iop.org/article/10.1070/RM1994v049n02ABEH002202/pdf

The algebra of slice functions

Authors: Ghiloni R. Perotti A. Stoppato C.

Source: Transactions of the American Mathematical Society. 369:4725-4762

Subject Terms: Primary 30G35, Secondary 17D05, 32A30, 30C15, Mathematics - Complex Variables, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras, 30G35 Functions of hypercomplex variables and generalized variables, 17D05 Alternative rings, 32A30 Other generalizations of function theory of one complex variable, 30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, 6. Clean water

File Description: application/pdf

Access URL: http://arxiv.org/abs/1506.03749
https://ui.adsabs.harvard.edu/abs/2015arXiv150603749G/abstract
https://arxiv.org/abs/1506.03749
https://arxiv.org/pdf/1506.03749.pdf
https://flore.unifi.it/handle/2158/1038167
https://www.ams.org/journals/tran/2017-369-07/S0002-9947-2016-06816-6/