Výsledky vyhledávání - "Functions of hypercomplex variables and generalized variables"

On spherical shells containing all the zeros of a quaternionic polynomial

Autoři: Gradimir V. Milovanović Abdullah Mir Wasim Ahmad Thoker a další

Zdroj: Analysis. 45:139-148

Témata: Functions of hypercomplex variables and generalized variables, zeros, quaternionic polynomials

Popis souboru: 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

Autoři: Dao Viet Cuong Wolfgang Tutschke Le Hung Son

Zdroj: Complex Analysis and Operator Theory. 19

Témata: 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

Popis souboru: application/xml

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

Bergman spaces and reproducing kernel for the biquaternionic Vekua equation

Autoři: Víctor A. Vicente-Benítez

Zdroj: Boletín de la Sociedad Matemática Mexicana. 31

Témata: 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)

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Yufeng Wang Zhongxiang Zhang

Zdroj: Advances in Applied Clifford Algebras. 35

Témata: 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

Popis souboru: application/xml

Spectral properties of the gradient operator with nonconstant coefficients

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

Zdroj: Analysis and Mathematical Physics. 14

Témata: 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)

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: M. Elena Luna–Elizarrarás Anatoly Golberg

Zdroj: Advances in Applied Clifford Algebras. 34

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

Popis souboru: application/xml

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

Discrete pseudo‐differential operators in hypercomplex analysis

Autoři: Paula Cerejeiras Uwe Kaehler Simão Lucas

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

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

Přístupová URL adresa: http://hdl.handle.net/10773/43202

Quaternionic inner and outer functions

Autoři: Alessandro Monguzzi Giulia Sarfatti Daniel Seco a další

Přispěvatelé: Alessandro Monguzzi Giulia Sarfatti Daniel Seco a další

Zdroj: 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)

Témata: 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

Popis souboru: application/pdf

Přístupová URL adresa: 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

Autoři: Ghiloni, Riccardo Perotti, Alessandro Stoppato, Caterina

Zdroj: Transactions of the American Mathematical Society.

Témata: 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

Popis souboru: application/pdf

Přístupová URL adresa: 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

Autoři: Dmitry Bryukhov

Zdroj: Advances in Applied Clifford Algebras. 31

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Uncertainty principle for measurable sets and signal recovery in quaternion domains

Autoři: Yan Yang Cuiming Zou Kit Ian Kou

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Ghiloni R. Perotti A. Stoppato C.

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

Témata: 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

Popis souboru: application/pdf

Přístupová URL adresa: 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

Autoři: Doan Cong Dinh

Zdroj: Advances in Applied Clifford Algebras. 31

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Daowei Ma Longfei Gu

Zdroj: Complex Analysis and Operator Theory. 14

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

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7229688
https://doi.org/10.1007/s11785-020-01010-5
https://link.springer.com/article/10.1007/s11785-020-01010-5

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

Autoři: Yan Yang Pei Dang Tao Qian

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: P T Marco Ramirez Vladislav V. Kravchenko

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Klaus Gürlebeck Wolfgang Sprössig

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Franciscus Sommen Fred Brackx N. De Schepper

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Bergman spaces of higher‐dimensional hyperbolic polyhedron‐type domains I: Bergman spaces of higher-dimensional hyperbolic polyhedron-type domains. I

Autoři: Denis Constales R. S. Kraußhar

Zdroj: Mathematical Methods in the Applied Sciences. 29:85-98

Témata: hyperbolic polyhedron domains, Functions of hypercomplex variables and generalized variables, generalized Cauchy-Riemann equations, Green's functions, monogenic Bergman spaces of Clifford algebra-valued functions, generalized Poincaré series, generalized higher-dimensional modular figures, arithmetic subgroups of the Vahlen group, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Bergman kernels, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2246535
https://doi.org/10.1002/mma.666
https://biblio.ugent.be/publication/330481
http://ui.adsabs.harvard.edu/abs/2006MMAS...29...85C/abstract

Multi–vector Spherical Monogenics, Spherical Means and Distributions in Clifford Analysis: Multi-vector spherical monogenics, spherical means and distributions in Clifford analysis

Autoři: Hennie De Schepper Fred Brackx Bram De Knock

Zdroj: Acta Mathematica Sinica. 21:1197-1208

Témata: Functions of hypercomplex variables and generalized variables, distributions, spherical means, 0101 mathematics, spherical monogenics, 01 natural sciences, Clifford analysis, Operations with distributions and generalized functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2244477
https://doi.org/10.1007/s10114-005-0556-y
https://biblio.ugent.be/publication/343783
https://core.ac.uk/display/55882431
https://link.springer.com/article/10.1007%2Fs10114-005-0556-y