On spherical shells containing all the zeros of a quaternionic polynomial

Συγγραφείς: Gradimir V. Milovanović, Abdullah Mir, Wasim Ahmad Thoker, Ashiq Hussain Bhat

Πηγή: Analysis. 45:139-148

Θεματικοί όροι: Functions of hypercomplex variables and generalized variables, zeros, quaternionic polynomials

Περιγραφή αρχείου: application/xml

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

Συγγραφείς: Dao Viet Cuong, Wolfgang Tutschke, Le Hung Son

Πηγή: Complex Analysis and Operator Theory. 19

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8033586
https://doi.org/10.1007/s11785-025-01679-6

Bergman spaces and reproducing kernel for the biquaternionic Vekua equation

Συγγραφείς: Víctor A. Vicente-Benítez

Πηγή: Boletín de la Sociedad Matemática Mexicana. 31

Θεματικοί όροι: 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)

Περιγραφή αρχείου: application/xml

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

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

Συγγραφείς: Yufeng Wang, Zhongxiang Zhang

Πηγή: Advances in Applied Clifford Algebras. 35

Θεματικοί όροι: 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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Spectral properties of the gradient operator with nonconstant coefficients

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

Πηγή: Analysis and Mathematical Physics. 14

Θεματικοί όροι: 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)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2404.17911

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

Συγγραφείς: M. Elena Luna–Elizarrarás, Anatoly Golberg

Πηγή: Advances in Applied Clifford Algebras. 34

Θεματικοί όροι: Functions of hypercomplex variables and generalized variables, Möbius transformation, bicomplex numbers

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7877967
https://doi.org/10.1007/s00006-024-01323-0

Discrete pseudo‐differential operators in hypercomplex analysis

Συγγραφείς: Paula Cerejeiras, Uwe Kaehler, Simão Lucas

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

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

Σύνδεσμος πρόσβασης: http://hdl.handle.net/10773/43202

Quaternionic inner and outer functions

Συγγραφείς: Alessandro Monguzzi, Giulia Sarfatti, Daniel Seco

Συνεισφορές: Ministerio de Economía y Competitividad (España)

Πηγή: 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)

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: 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

Errata to: The algebra of slice functions

Συγγραφείς: Ghiloni, Riccardo, Perotti, Alessandro, Stoppato, Caterina

Πηγή: Transactions of the American Mathematical Society.

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: https://hdl.handle.net/2158/1246758
https://doi.org/10.1090/tran/8574

Electrostatic Fields in Some Special Inhomogeneous Media and New Generalizations of the Cauchy–Riemann System: Electrostatic fields in some special inhomogeneous media and new generalizations of the Cauchy-Riemann system

Συγγραφείς: Dmitry Bryukhov

Πηγή: Advances in Applied Clifford Algebras. 31

Θεματικοί όροι: Euler-Poisson-Darboux equations, radially holomorphic potential, elliptic Euler-Poisson-Darboux equation in cylindrical coordinates, Maxwell equations, Functions of hypercomplex variables and generalized variables, Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, Composite media, random media in optics and electromagnetic theory, electric field gradient tensor, 0101 mathematics, harmonic meridional mappings of the second kind, Electro- and magnetostatics, \( \alpha \)-meridional, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7384727
https://doi.org/10.1007/s00006-021-01163-2
https://link.springer.com/article/10.1007/s00006-021-01163-2
https://link.springer.com/content/pdf/10.1007/s00006-021-01163-2.pdf

Three-dimensional Analogue of Kolosov–Muskhelishvili Formulae

Συγγραφείς: Grigor’ev, Yuri^Aff5

Συνεισφορές: Bernstein, Swanhild, editor^Aff1, Kähler, Uwe, editor^Aff2, Sabadini, Irene, editor^Aff3, Sommen, Franciscus, editor^Aff4

Πηγή: Modern Trends in Hypercomplex Analysis. :203-215

Uncertainty principle for measurable sets and signal recovery in quaternion domains

Συγγραφείς: Yan Yang, Cuiming Zou, Kit Ian Kou

Πηγή: Mathematical Methods in the Applied Sciences. 40:3892-3900

Θεματικοί όροι: FOS: Computer and information sciences, uncertainty principle, Functions of hypercomplex variables and generalized variables, Computer Science - Information Theory, Information Theory (cs.IT), quaternion Fourier transform, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/1608.05543
http://arxiv.org/abs/1608.05543
https://zbmath.org/6750454
https://doi.org/10.1002/mma.4271
https://www.arxiv.org/abs/1608.05543
https://arxiv.org/pdf/1608.05543.pdf
https://arxiv.org/abs/1608.05543
https://onlinelibrary.wiley.com/doi/full/10.1002/mma.4271
http://dblp.uni-trier.de/db/journals/corr/corr1608.html#KouYZ16
https://arxiv.org/pdf/1608.05543
http://ui.adsabs.harvard.edu/abs/2017MMAS...40.3892K/abstract
https://dblp.uni-trier.de/db/journals/corr/corr1608.html#KouYZ16

The algebra of slice functions

Συγγραφείς: Ghiloni R., Perotti A., Stoppato C.

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

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: 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/

The Existence of Cauchy Kernels of Kravchenko-Generalized Dirac Operators: The existence of Cauchy kernels of Kravchenko-generalized Dirac operators

Συγγραφείς: Doan Cong Dinh

Πηγή: Advances in Applied Clifford Algebras. 31

Θεματικοί όροι: static Maxwell system, Functions of hypercomplex variables and generalized variables, generalized monogenic functions, generalized Cauchy kernel, 0103 physical sciences, 0101 mathematics, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7300839
https://doi.org/10.1007/s00006-020-01106-3
https://link.springer.com/article/10.1007/s00006-020-01106-3
https://jglobal.jst.go.jp/en/detail?JGLOBAL_ID=202102280912623426

Dirac Operators with Gradient Potentials and Related Monogenic Functions: Dirac operators with gradient potentials and related monogenic functions

Συγγραφείς: Daowei Ma, Longfei Gu

Πηγή: Complex Analysis and Operator Theory. 14

Θεματικοί όροι: Functions of hypercomplex variables and generalized variables, Dirac operators, 0101 mathematics, gradient potentials, 01 natural sciences, Clifford analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7229688
https://doi.org/10.1007/s11785-020-01010-5
https://link.springer.com/article/10.1007/s11785-020-01010-5

Three-dimensional Quaternionic Analogue of the Kolosov–Muskhelishvili Formulae

Συγγραφείς: Grigor’ev, Yuri^Aff5

Συνεισφορές: Bernstein, Swanhild, editor^Aff1, Kähler, Uwe, editor^Aff2, Sabadini, Irene, editor^Aff3, Sommen, Frank, editor^Aff4

Πηγή: Hypercomplex Analysis: New Perspectives and Applications. :145-166

Tighter Uncertainty Principles Based on Quaternion Fourier Transform: Tighter uncertainty principles based on quaternion Fourier transform

Συγγραφείς: Yan Yang, Pei Dang, Tao Qian

Πηγή: Advances in Applied Clifford Algebras. 26:479-497

Θεματικοί όροι: Signal theory (characterization, reconstruction, filtering, etc.), Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Functions of hypercomplex variables and generalized variables, uncertainty principles, quaternion Fourier transform, 0101 mathematics, 01 natural sciences, Operations with distributions and generalized functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6581630
https://doi.org/10.1007/s00006-015-0579-0
https://link.springer.com/content/pdf/10.1007%2Fs00006-015-0579-0.pdf
https://link.springer.com/article/10.1007/s00006-015-0579-0

On Bers Generating Functions for First Order Systems of Mathematical Physics: On Bers generating functions for first order systems of mathematical physics

Συγγραφείς: P T Marco Ramirez, Vladislav V. Kravchenko

Πηγή: Advances in Applied Clifford Algebras. 21:547-559

Θεματικοί όροι: pseudoanalytic function, Maxwell's system, FOS: Physical sciences, Mathematical Physics (math-ph), 30G20, 30G35, 35F05, 76M40, 78A25, 81Q05, 01 natural sciences, inhomogeneous medium, Maxwell equations, force-free field, Functions of hypercomplex variables and generalized variables, 0103 physical sciences, Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.), Dirac equation, 0101 mathematics, Mathematical Physics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/1001.0552
http://arxiv.org/abs/1001.0552
https://zbmath.org/5959933
https://doi.org/10.1007/s00006-010-0261-5
https://link.springer.com/content/pdf/10.1007%2Fs00006-010-0261-5.pdf
https://link.springer.com/article/10.1007%2Fs00006-010-0261-5

On the treatment of fluid problems by methods of Clifford analysis

Συγγραφείς: Klaus Gürlebeck, Wolfgang Sprössig

Πηγή: Notes on Numerical Fluid Mechanics (NNFM) ISBN: 9783322898401

Θεματικοί όροι: Finite difference methods for boundary value problems involving PDEs, Functions of hypercomplex variables and generalized variables, Basic methods in fluid mechanics, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://econpapers.repec.org/RePEc:eee:matcom:v:44:y:1997:i:4:p:401-413
https://rd.springer.com/chapter/10.1007/978-3-322-89838-8_40
https://www.sciencedirect.com/science/article/pii/S0378475497000669
https://link.springer.com/chapter/10.1007%2F978-3-322-89838-8_40
https://ideas.repec.org/a/eee/matcom/v44y1997i4p401-413.html

Clifford algebra-valued orthogonal polynomials in Euclidean space

Συγγραφείς: Franciscus Sommen, Fred Brackx, N. De Schepper

Πηγή: Journal of Approximation Theory. 137:108-122

Θεματικοί όροι: weight functions, Mathematics(all), Numerical Analysis, Orthogonal polynomials, Functions of hypercomplex variables and generalized variables, Applied Mathematics, Special polynomials in general fields, 0101 mathematics, Approximation in the complex plane, orthogonal polynomials, 01 natural sciences, Clifford analysis, Analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2235697
https://doi.org/10.1016/j.jat.2005.08.004
https://biblio.ugent.be/publication/343779
https://dialnet.unirioja.es/servlet/articulo?codigo=1338519
https://dblp.uni-trier.de/db/journals/jat/jat137.html#BrackxSS05
https://www.sciencedirect.com/science/article/abs/pii/S0021904505001449
https://core.ac.uk/display/82787298
https://www.sciencedirect.com/science/article/pii/S0021904505001449