Výsledky vyhľadávania - "Functions of hypercomplex variables"

On spherical shells containing all the zeros of a quaternionic polynomial

Autori: Gradimir V. Milovanović Abdullah Mir Wasim Ahmad Thoker a ďalší

Zdroj: Analysis. 45:139-148

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

Popis súboru: 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

Autori: Dao Viet Cuong Wolfgang Tutschke Le Hung Son

Zdroj: Complex Analysis and Operator Theory. 19

Predmety: 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 súboru: application/xml

Prístupová 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

Autori: Víctor A. Vicente-Benítez

Zdroj: Boletín de la Sociedad Matemática Mexicana. 31

Predmety: 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 súboru: application/xml

Prístupová 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

Autori: Yufeng Wang Zhongxiang Zhang

Zdroj: Advances in Applied Clifford Algebras. 35

Predmety: 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 súboru: application/xml

Spectral properties of the gradient operator with nonconstant coefficients

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

Zdroj: Analysis and Mathematical Physics. 14

Predmety: 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 súboru: application/xml

Prístupová 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

Autori: M. Elena Luna–Elizarrarás Anatoly Golberg

Zdroj: Advances in Applied Clifford Algebras. 34

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

Popis súboru: application/xml

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

Slice regular functions in several variables

Autori: Perotti, Alessandro Ghiloni, Riccardo

Zdroj: Mathematische Zeitschrift. 302:295-351

Predmety: Slice regular functions, Functions of hypercomplex variables, Cauchy integral formula, Quaternions, Clifford algebras, Octonions, Real alternative algebras, Mathematics - Complex Variables, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras, Complex Variables (math.CV), Primary 30G35, Secondary 32A30, 17D05, 0101 mathematics, 01 natural sciences

Popis súboru: application/pdf

Prístupová URL adresa: http://arxiv.org/abs/2007.14925
https://hdl.handle.net/11572/346219
https://doi.org/10.1007/s00209-022-03066-9

Slice-by-slice and global smoothness of slice regular and polyanalytic functions

Autori: Ghiloni, Riccardo

Zdroj: Annali di Matematica Pura ed Applicata (1923 -). 201:2549-2573

Predmety: Mathematics - Complex Variables, Rings and Algebras (math.RA), 30G35 (Primary) 32A30, 35B65 (Secondary), Slice regular functions, Global slice polyanalytic functions, Functions of hypercomplex variables, Generalized Cauchy-Riemann equations, Smoothness of solutions to PDEs, FOS: Mathematics, Mathematics - Rings and Algebras, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences

Popis súboru: application/pdf

Prístupová URL adresa: http://arxiv.org/abs/2011.09919

SLICE REGULAR SEMIGROUPS

Autori: GHILONI, RICCARDO RECUPERO, VINCENZO

Zdroj: Transactions of the American Mathematical Society, 2018 Jul 01. 370(7), 4993-5032.

Prístupová URL adresa: https://www.jstor.org/stable/90021165

Discrete pseudo‐differential operators in hypercomplex analysis

Autori: Paula Cerejeiras Uwe Kaehler Simão Lucas

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

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

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

Quaternionic inner and outer functions

Autori: Alessandro Monguzzi Giulia Sarfatti Daniel Seco a ďalší

Prispievatelia: Alessandro Monguzzi Giulia Sarfatti Daniel Seco a ďalší

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)

Predmety: 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 súboru: application/pdf

Prístupová 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

Autori: Ghiloni, Riccardo Perotti, Alessandro Stoppato, Caterina

Zdroj: Transactions of the American Mathematical Society.

Predmety: 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 súboru: application/pdf

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

On the generators of Clifford semigroups: Polynomial resolvents and their integral transforms

Autori: Ghiloni, Riccardo Recupero, Vincenzo

Prispievatelia: Ghiloni, Riccardo Recupero, Vincenzo

Predmety: Slice regular semigroup, Laplace transform, Functional calculu, Quaternion, Clifford algebra, Functions of hypercomplex variables

Popis súboru: ELETTRONICO

Relation: info:eu-repo/semantics/altIdentifier/wos/WOS:001002596100001; volume:521; issue:1; firstpage:1; lastpage:19; numberofpages:19; journal:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS; https://hdl.handle.net/11583/2973840; https://www.sciencedirect.com/science/article/abs/pii/S0022247X22009192?via=ihub

Dostupnosť: https://hdl.handle.net/11583/2973840
https://doi.org/10.1016/j.jmaa.2022.126905
https://www.sciencedirect.com/science/article/abs/pii/S0022247X22009192?via=ihub

Slice-polynomial functions and twistor geometry of ruled surfaces in $$\mathbb {CP}^3$$ CP 3

Autori: Altavilla, A. Sarfatti, G.

Prispievatelia: Altavilla, A. Sarfatti, G.

Zdroj: Mathematische Zeitschrift. 291:1059-1092

Predmety: Mathematics - Differential Geometry, Rational and ruled surface, Functions of hypercomplex variables, Rational and ruled surfaces, Slice regular functions, Slice-polynomial functions, Twistor spaces, Twistor spaces, Mathematics - Complex Variables, Slice regular function, 01 natural sciences, Slice-polynomial function, Differential Geometry (math.DG), FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, Primary 53C28, 30G35, secondary 32A30, 14J26, Functions of hypercomplex variable

Popis súboru: application/pdf

Prístupová URL adresa: http://arxiv.org/pdf/1712.09946
http://arxiv.org/abs/1712.09946
https://ui.adsabs.harvard.edu/abs/2017arXiv171209946A/abstract
https://arxiv.org/abs/1712.09946
https://arxiv.org/pdf/1712.09946
https://link.springer.com/article/10.1007/s00209-018-2225-8
https://flore.unifi.it/handle/2158/1147577

Powers of Elliptic Scator Numbers

Autori: Manuel Fernandez-Guasti

Zdroj: Axioms, Vol 10, Iss 250, p 250 (2021)

Predmety: functions of hypercomplex variables, algebraic geometry, scator algebra, Mathematics, QA1-939

Relation: https://www.mdpi.com/2075-1680/10/4/250; https://doaj.org/toc/2075-1680; https://doaj.org/article/681922e8f47a4a3c831ee5c8ba274601

Dostupnosť: https://doi.org/10.3390/axioms10040250
https://doaj.org/article/681922e8f47a4a3c831ee5c8ba274601

Roots of Elliptic Scator Numbers

Autori: Manuel Fernandez-Guasti

Zdroj: Axioms, Vol 10, Iss 321, p 321 (2021)

Predmety: functions of hypercomplex variables, algebraic geometry, scator algebra, Mathematics, QA1-939

Relation: https://www.mdpi.com/2075-1680/10/4/321; https://doaj.org/toc/2075-1680; https://doaj.org/article/98b5b8ad55854f87a76ec7e22aa88f58

Dostupnosť: https://doi.org/10.3390/axioms10040321
https://doaj.org/article/98b5b8ad55854f87a76ec7e22aa88f58

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

Autori: Dmitry Bryukhov

Zdroj: Advances in Applied Clifford Algebras. 31

Predmety: 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 súboru: application/xml

Prístupová 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

Autori: Yan Yang Cuiming Zou Kit Ian Kou

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

Predmety: 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 súboru: application/xml

Prístupová 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

Semigroups over real alternative *-algebras: Generation theorems and spherical sectorial operators

Autori: Ghiloni, Riccardo Recupero, Vincenzo

Zdroj: Transactions of the American Mathematical Society. 368:2645-2678

Predmety: Mathematics - Functional Analysis, Functions of hypercomplex variables, Functional calculus, Semigroups of linear operators, Spectrum, resolvent, 13. Climate action, FOS: Mathematics, 0101 mathematics, Functions of hypercomplex variables, functional calculus, semigroups of linear operators, spectrum, resolvent, 01 natural sciences, Functional Analysis (math.FA), 30G35, 47D03, 47A60, 47A10

Popis súboru: application/pdf

Prístupová URL adresa: http://arxiv.org/pdf/1402.6443
http://arxiv.org/abs/1402.6443
https://arxiv.org/abs/1402.6443
https://arxiv.org/pdf/1402.6443
http://calvino.polito.it/~recupero/ricerca/noncomm_semigroups.pdf
https://ui.adsabs.harvard.edu/abs/2014arXiv1402.6443G/abstract
https://www.ams.org/journals/tran/2016-368-04/S0002-9947-2015-06399-5/home.html
https://iris.polito.it/handle/11583/2530091
http://www.ams.org/journals/tran/0000-000-00/S0002-9947-2015-06399-5/home.html
https://hdl.handle.net/11583/2530091
https://doi.org/10.1090/tran/6399
https://www.ams.org/journals/tran/2016-368-04/S0002-9947-2015-06399-5/
https://hdl.handle.net/11572/66996
https://doi.org/10.1090/tran/6399

The algebra of slice functions

Autori: Ghiloni R. Perotti A. Stoppato C.

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

Predmety: 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 súboru: application/pdf

Prístupová 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/