Výsledky vyhledávání - holomorphic functions of several hypercomplex variables

Construction of solutions to PDEs using holomorphic functions of several variables

Autoři: Vitalii Shpakivskyi

Zdroj: Electronic Journal of Differential Equations, Vol 2024, Iss 71,, Pp 1-12 (2024)

Témata: holomorphic functions of several hypercomplex variables, harmonic algebra, elliptic pde, Mathematics, QA1-939

Popis souboru: electronic resource

Relation: http://ejde.math.txstate.edu/Volumes/2024/71/abstr.html; https://doaj.org/toc/1072-6691

Přístupová URL adresa: https://doaj.org/article/c4a733089a244679a95b5a52518fac4b

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

Autoři: Binosi, Giulio

Thesis Advisors: Binosi, Giulio, Perotti, Alessandro

Témata: 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

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

Slice regular functions in several variables

Autoři: Perotti, Alessandro Ghiloni, Riccardo

Zdroj: Mathematische Zeitschrift. 302:295-351

Témata: 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 souboru: application/pdf

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

On strict inclusions of weighted dirichlet spaces of monogenic functions: On strict inclusions of weighted Dirichlet spaces of monogenic functions

Autoři: Helmuth R. Malonek K. Gürlebeck

Zdroj: Bulletin of the Australian Mathematical Society. 64:33-50

Témata: Functions of hypercomplex variables and generalized variables, monogenic polynomials, Banach spaces of continuous, differentiable or analytic functions, hypercomplex function theory, \(Q_p\)-spaces, 0101 mathematics, Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)), 01 natural sciences, Dirichlet space

Popis souboru: application/xml

Přístupová URL adresa: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/2F1D9878B0219C82DE795D75EEBF4FAC/S0004972700019663a.pdf/div-class-title-on-strict-inclusions-of-weighted-dirichlet-spaces-of-monogenic-functions-div.pdf
https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/on-strict-inclusions-of-weighted-dirichlet-spaces-of-monogenic-functions/2F1D9878B0219C82DE795D75EEBF4FAC
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/2F1D9878B0219C82DE795D75EEBF4FAC/S0004972700019663a.pdf/div-class-title-on-strict-inclusions-of-weighted-dirichlet-spaces-of-monogenic-functions-div.pdf
http://www.journals.cambridge.org/abstract_S0004972700019663

On the Bergmann Kernel Function in Hyperholomorphic Analysis: On the Bergmann kernel function in hyperholomorphic analysis

Autoři: Nikolai Vasilevski Michael V. Shapiro

Zdroj: Acta Applicandae Mathematica. 46:1-27

Témata: Integral operators, Holomorphic functions of several complex variables, Functions of hypercomplex variables and generalized variables, hyperholomorphic functions, Bergman kernel function, 0101 mathematics, integral representation, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/content/pdf/10.1023/A:1017916828448.pdf
https://biblat.unam.mx/revista/reporte-interno-cinvestav/articulo/on-the-bergman-kernel-function-in-hyperholomorphic-analysis

Conjugate functions and analytic functions of two complex variables

Autoři: T. M. Lopatina M. S. Shneerson

Zdroj: Ukrainian Mathematical Journal. 26:232-235

Témata: Holomorphic functions of several complex variables, Functions of hypercomplex variables and generalized variables, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3459041
https://doi.org/10.1007/bf01085729
https://link.springer.com/article/10.1007/BF01085729
https://link.springer.com/content/pdf/10.1007/BF01085729.pdf

An Introduction to Computational Algebraic Analysis: An introduction to computational algebraic analysis

Autoři: COLOMBO, FABRIZIO SABADINI, IRENE MARIA STRUPPA DC

Zdroj: Milan Journal of Mathematics. 71:283-318

Témata: quaternions, Holomorphic functions of several complex variables, Quadratic and Koszul algebras, Cauchy--Fueter system, Numerical Analysis and Computation, Theory of modules and ideals in commutative rings, algebraic analysis, 01 natural sciences, computational algebraic analysis, Clifford algebras, spinors, Algebra, Functions of hypercomplex variables and generalized variables, Proca equation, holomorphic function, syzygy, Dirac equation, Cauchy--Riemann system, Clifford algebra, 0101 mathematics, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2099232
https://doi.org/10.1007/s00032-003-0022-1
https://digitalcommons.chapman.edu/scs_articles/40/
https://link.springer.com/article/10.1007/s00032-003-0022-1
https://core.ac.uk/display/55196586
https://re.public.polimi.it/handle/11311/556965
https://hdl.handle.net/11311/556965

Starting with the differential: representation of monogenic functions by polynomials of non-monogenic variables

Autoři: Malonek, H. R. Cação, I. Falcão, M. I. a další

Témata: Series expansion, Functions and mappings, Clifford Analysis, Appell polynomials

Popis souboru: application/pdf

Relation: 978-0-7354-4589-5; 0094-243X

Dostupnost: http://hdl.handle.net/10773/40284

On Quaternionic Functions for the Solution of an Ill-posed Cauchy Problem for a Viscous Fluid.

Autoři: Grigor’ev, Yu. Gürlebeck, K. Legatiuk, D. a další

Zdroj: AIP Conference Proceedings; 2019, Vol. 2116 Issue 1, p160005-1-160005-4, 4p

Témata: CAUCHY problem, HOLOMORPHIC functions, VISCOUS flow, MONOGENIC functions, FLUID flow, ELECTRON work function

Slice regular functions in several variables.

Autoři: Ghiloni, Riccardo Perotti, Alessandro

Zdroj: Mathematische Zeitschrift; Sep2022, Vol. 302 Issue 1, p295-351, 57p

A FRACTIONAL BOREL–POMPEIU-TYPE FORMULA FOR HOLOMORPHIC FUNCTIONS OF TWO COMPLEX VARIABLES.

Autoři: GONZÁLEZ-CERVANTES, JOSÉ OSCAR BORY-REYES, JUAN

Zdroj: Fractals; Jun2022, Vol. 30 Issue 4, p1-13, 13p

Témata: HOLOMORPHIC functions, COMPLEX variables, FRACTIONAL calculus, FUNCTIONS of several complex variables, BIVECTORS

Wirtinger Operators for Functions of Several Quaternionic Variables: Wirtinger Operators for Functions of Several...: A. Perotti.

Autoři: Perotti, Alessandro

Zdroj: Complex Analysis & Operator Theory; Jan2025, Vol. 19 Issue 1, p1-36, 36p

Wirtinger Operators for Functions of Several Quaternionic Variables.

Autoři: Perotti, Alessandro

Zdroj: Complex Analysis & Operator Theory; Dec2024, Vol. 19 Issue 1, p1-36, 36p

Characterizations of Herglotz–Nevanlinna Functions Using Positive Semi-Definite Functions and the Nevanlinna Kernel in Several Variables.

Autoři: Nedic, Mitja

Zdroj: Complex Analysis & Operator Theory; Oct2021, Vol. 15 Issue 7, p1-24, 24p

Pseudo Q-Holomorphic Functions.

Autoři: Hizliyel, Sezayi Ça&gtilde;iyan, Mehmet

Zdroj: Complex Variables; 10/20/2004, Vol. 49 Issue 13, p941-955, 15p

Témata: HOLOMORPHIC functions, MATRICES (Mathematics), FUNCTIONS of several complex variables, MATHEMATICAL logic, MATHEMATICS

Almansi-Type Decomposition for Slice Regular Functions of Several Quaternionic Variables.

Autoři: Binosi, Giulio

Zdroj: Complex Analysis & Operator Theory; May2024, Vol. 18 Issue 4, p1-25, 25p

ѱ Hyperholomorphic functions and a Kolosov-Muskhelishvili formula.

Autoři: Bock, S. Gürlebeck, K. Legatiuk, D. a další

Zdroj: Mathematical Methods in the Applied Sciences; Dec2015, Vol. 38 Issue 18, p5114-5123, 10p

Témata: HOLOMORPHIC functions, ELASTICITY, FUNCTIONS of several complex variables, QUATERNION functions, COMPLEX variables, GENERALIZABILITY theory

SPENCER MANIFOLDS.

Autoři: DIMIEV, ST. LAZOV, R. MILEV, N.

Zdroj: Quaternionic Structures in Mathematics & Physics - Proceedings of the Second Meeting; 2001, p101-115, 15p

Témata: MANIFOLDS (Mathematics), HOLOMORPHIC functions, FUNCTIONS of several complex variables, ELLIPTIC equations, PARTIAL differential equations

Slice regular functions of several Clifford variables.

Autoři: Ghiloni, R. Perotti, A.

Zdroj: AIP Conference Proceedings; Nov2012, Vol. 1493 Issue 1, p734-738, 5p

Témata: REGULAR functions (Mathematics), MATHEMATICAL variables, POLYNOMIALS, GEOMETRIC function theory, MATHEMATICAL formulas, APPLIED mathematics, MATHEMATICAL analysis

Harmonic Analysis and hypercomplex function theory in co-dimension one

Autoři: Malonek, Helmuth R. Cação, Isabel Falcão, M. Irene a další

Témata: Clifford algebras, Hypercomplex differential forms, Hypercomplex derivative, Hypercomplex Appell polynomials

Popis souboru: application/pdf

Relation: 978-3-030-26747-6

Dostupnost: http://hdl.handle.net/10773/28896