Výsledky vyhľadávania - Functions of hypercomplex variables

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

Analytic Functions of Hypercomplex Variables

Autori: Ketchum, P. W.

Zdroj: Transactions of the American Mathematical Society, 1928 Oct 01. 30(4), 641-667.

Prístupová URL adresa: https://www.jstor.org/stable/1989440

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

Differentiability condition of function with hypercomplex number as variable of commutative ring / 可換環としての３元数を変数とする関数と微分可能条件

Autori: Akira TAKAMURA 高村 明

Zdroj: 豊田工業高等専門学校研究紀要 / Journal of National Institute of Technology, Toyota College. 2023, 55:55-9

Recent Developments for Regular Functions of a Hypercomplex Variable

Autori: GENTILI, GRAZIANO STOPPATO, CATERINA Struppa, Daniele C. a ďalší

Prispievatelia: GENTILI, GRAZIANO STOPPATO, CATERINA Struppa, Daniele C. a ďalší

Zdroj: Hypercomplex Analysis ISBN: 9783764398927

Predmety: functions of hypercomplex variables, ∂-type operators, functions of hypercomplex variables — ∂-type operators

Popis súboru: application/pdf

Prístupová URL adresa: http://web.math.unifi.it/users/stoppato/Website/Publications_files/Survey081006.pdf
http://hdl.handle.net/11368/2940773
http://web.math.unifi.it/users/stoppato/Website/Publications_files/Survey081006.pdf
https://link.springer.com/chapter/10.1007/978-3-7643-9893-4_11
https://rd.springer.com/chapter/10.1007/978-3-7643-9893-4_11
https://link.springer.com/10.1007%2F978-3-7643-9893-4_11
https://hdl.handle.net/11368/2940773
https://doi.org/10.1007/978-3-7643-9893-4_11
http://web.math.unifi.it/users/stoppato/Website/Publications_files/Survey081006.pdf
https://doi.org/10.1007/978-3-7643-9893-4_11
https://hdl.handle.net/2158/336833

SEDENION FUNCTIONS OF HYPERCOMPLEX VARIABLES IN THE SENSE OF CLIFFORD ANALYSIS

Autori: Su Hyun Park Kwang Ho Shon

Zdroj: East Asian mathematical journal. 29:521-527

Predmety: 0101 mathematics, 01 natural sciences

Prístupová URL adresa: http://www.ndsl.kr/soc_img/society/bgms/E1BGBB/2013/v29n5/E1BGBB_2013_v29n5_521.pdf
http://www.ndsl.kr/soc_img/society/bgms/E1BGBB/2013/v29n5/E1BGBB_2013_v29n5_521.pdf
https://www.koreascience.kr/article/ArticleFullRecord.jsp?cn=E1BGBB_2013_v29n5_521
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=E1BGBB_2013_v29n5_521

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

Harmonicity in Slice Analysis: Almansi decomposition and Fueter theorem for several hypercomplex variables

Autori: Binosi, Giulio

Thesis Advisors: Binosi, Giulio, Perotti, Alessandro

Predmety: Slice regular functions, function of a hypercomplex variable, quaternions, clifford algebras, Almansi decomposition, monogenic functions, Cauchy-Riemann operators, holomorphic Cliffordian functions, harmonic analysis, Fueter theorem., Settore MAT/03 - Geometria

Relation: firstpage:1; lastpage:89; numberofpages:89

Dostupnosť: https://hdl.handle.net/11572/411550

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

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

Extension results for slice regular functions of a quaternionic variable

Autori: COLOMBO, FABRIZIO G. Gentili SABADINI, IRENE MARIA a ďalší

Zdroj: Advances in Mathematics. 222:1793-1808

Predmety: 30G35, Mathematics(all), Algebra, Mathematics - Complex Variables, Functions of complex variable, functions of hypercomplex variable, FOS: Mathematics, Functions of hypercomplex variables, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, Functions of complex variables

Popis súboru: application/pdf

Prístupová URL adresa: http://arxiv.org/abs/0905.1861
https://core.ac.uk/display/22100344
https://documat.unirioja.es/servlet/articulo?codigo=3062163
http://www.sciencedirect.com/science/article/pii/S0001870809001893
https://re.public.polimi.it/handle/11311/559995
https://dialnet.unirioja.es/servlet/articulo?codigo=3062163
https://digitalcommons.chapman.edu/scs_articles/56/
https://hdl.handle.net/11311/559995
https://hdl.handle.net/2158/780282

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

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

Zdroj: Bulletin des sciences mathématiques

Predmety: 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

Popis súboru: application/xml; pdf

Prístupová URL adresa: 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

A new theory of regular functions of a quaternionic variable

Autori: GENTILI, GRAZIANO D. STRUPPA

Zdroj: Advances in Mathematics. 216:279-301

Predmety: Mathematics(all), Algebra, Functions of hypercomplex variables, Quaternions, 0101 mathematics, 01 natural sciences, Functions of complex variables

Popis súboru: application/pdf

Prístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0001870807001600
https://www.sciencedirect.com/science/article/pii/S0001870807001600#!
https://digitalcommons.chapman.edu/scs_articles/55/
https://core.ac.uk/display/81970802
https://dialnet.unirioja.es/servlet/articulo?codigo=2373607

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

A new approach to Cullen-regular functions of a quaternionic variable

Autori: GENTILI, GRAZIANO D. STRUPPA

Zdroj: Comptes Rendus. Mathématique. 342:741-744

Predmety: 0101 mathematics, 01 natural sciences, Functions of hypercomplex variables, Functions of complex variables, Quaternions

Prístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S1631073X06001257
https://www.sciencedirect.com/science/article/pii/S1631073X06001257

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

Introduction to geometric function theory of hypercomplex variables / Sorin G. Gal.

Autori: Gal, Sorin G. (1953- ).

Zdroj: Bibliogr. s. [309]-316.
Indeks.

Prístupová URL adresa: http://katalog.nukat.edu.pl/lib/item?id=chamo:159149&theme=nukat

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

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

Autori: Chungen Liu

Zdroj: Acta Mathematica Scientia. 16:44-50

Predmety: 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

Popis súboru: application/xml

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

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.

Autori: Philippe Loustaunau William W. Adams

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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