Suchergebnisse - "MONOGENIC functions"

Piecewise biharmonic extension of gradients and monogenic functions.

Autoren: Gryshchuk, Serhii V.¹ (AUTHOR) serhii.gryshchuk@gmail.com

Quelle: Journal of Mathematical Sciences. Mar2025, Vol. 288 Issue 5, p590-603. 14p.

Schlagwörter: *MONOGENIC functions, *BIHARMONIC functions, *COMMUTATIVE algebra, *BIHARMONIC equations

The Laurent expansion and residue theorem of weighted monogenic functions.

Autoren: Wang, Liping Luo, Liping Li, Ying et al.

Quelle: Complex Variables & Elliptic Equations. Nov2024, Vol. 69 Issue 11, p1917-1934. 18p.

Schlagwörter: *MONOGENIC functions, *TAYLOR'S series, *CONTINUOUS functions, *POLYNOMIALS, *DEFINITIONS

Riemann-Hilbert Problems for biaxial symmetric solutions to iterated Dirac equations with α-weight.

Autoren: He, Shuoxing Duan, Chunxue Xie, Yonghong

Quelle: Applicable Analysis; Sep2025, Vol. 104 Issue 14, p2654-2672, 19p

Schlagwörter: RIEMANN-Hilbert problems, DIRAC equation, MONOGENIC functions, MATRIX decomposition, BOUNDARY value problems

Reproducing Kernels and Radon-Type Transforms of Monogenic Functions.

Autoren: Lian, Pan

Quelle: Journal of Geometric Analysis; Aug2025, Vol. 35 Issue 8, p1-66, 66p

Schlagwörter: MONOGENIC functions, RADON transforms, INTEGRAL operators, HILBERT modules, FUNCTION spaces, MATHEMATICAL formulas, KERNEL functions

AN ANALOG OF THE HILLE THEOREM FOR HYPERCOMPLEX FUNCTIONS IN A FINITE-DIMENSIONAL COMMUTATIVE ALGEBRA.

Autoren: PLAKSA, S. A. SHPAKIVSKYI, V. S. TKACHUK, M. V.

Quelle: Matematychni Studii; 2025, Vol. 64 Issue 1, p32-41, 10p

Schlagwörter: BANACH algebras, MONOGENIC functions, CAUCHY integrals, DIFFERENTIABLE functions

Biharmonic Continuations of Gradients with the Help of Monogenic Functions with Values in the Biharmonic Algebra.

Autoren: Gryshchuk, Serhii^1,2 (AUTHOR) serhii.gryshchuk@gmail.com

Quelle: Ukrainian Mathematical Journal. Sep2024, Vol. 76 Issue 4, p542-558. 17p.

Schlagwörter: *BIHARMONIC functions, *MONOGENIC functions, *ALGEBRA, *BIHARMONIC equations

Octonionic monogenic and slice monogenic Hardy and Bergman spaces.

Autoren: Colombo, Fabrizio Kraußhar, Rolf Sören Sabadini, Irene

Quelle: Forum Mathematicum. Jul2024, Vol. 36 Issue 4, p1031-1052. 22p.

Schlagwörter: *HARDY spaces, *MONOGENIC functions, *KERNEL functions, *UNIT ball (Mathematics), *SET functions, *BERGMAN spaces

Recent and new results on octonionic Bergman and Szegö kernels.

Autoren: Kraußhar, Rolf Sören¹ (AUTHOR) soeren.krausshar@uni-erfurt.de

Quelle: Mathematical Methods in the Applied Sciences. Jul2024, Vol. 47 Issue 10, p7888-7901. 14p.

Schlagwörter: *MONOGENIC functions, *COTANGENT function, *KERNEL functions, *UNIT ball (Mathematics), *TRIGONOMETRIC functions

Some remarks on the relative order and relative type of entire monogenic functions.

Autoren: Biswas, Tanmay Biswas, Chinmay

Quelle: Nonlinear Studies. 2024, Vol. 31 Issue 2, p639-653. 15p.

Schlagwörter: *MONOGENIC functions, *INTEGRAL functions, *TAYLOR'S series

The Taylor expansion of weighted monogenic functions.

Autoren: Wang, Liping Luo, Liping Qiu, Fen

Quelle: Complex Variables & Elliptic Equations. Mar2024, Vol. 69 Issue 3, p383-402. 20p.

Schlagwörter: *MONOGENIC functions, *TAYLOR'S series

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

Autoren: Malonek, H. R. Cação, I. Falcão, M. I. et al.

Quelle: AIP Conference Proceedings. 2023, Vol. 2849 Issue 1, p1-4. 4p.

Schlagwörter: *MONOGENIC functions, *POLYNOMIALS, *CLIFFORD algebras, *SET functions, *POWER series

Approximation of monogenic functions by hypercomplex Ruscheweyh derivative bases.

Autoren: Hassan, Gamal Zayed, Mohra

Quelle: Complex Variables & Elliptic Equations. Dec2023, Vol. 68 Issue 12, p2073-2092. 20p.

Schlagwörter: *MONOGENIC functions, *POLYNOMIALS

Almansi decomposition of polynomials of quaternionic Dirac operators.

Autoren: Ren, Guangbin Zhang, Lizheng

Quelle: Journal of Mathematical Physics. Dec2023, Vol. 64 Issue 12, p1-15. 15p.

Schlagwörter: *DIRAC operators, *MONOGENIC functions, *POLYNOMIALS, *HELMHOLTZ equation

Properties of a polyanalytic functional calculus on the S‐spectrum.

Autoren: De Martino, Antonino Pinton, Stefano

Quelle: Mathematische Nachrichten. Nov2023, Vol. 296 Issue 11, p5190-5226. 37p.

Schlagwörter: *MONOGENIC functions, *CALCULUS, *REAL variables, *INTEGRAL functions, *COMPLEX variables, *HOLOMORPHIC functions

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

Autoren: Dao Viet Cuong Wolfgang Tutschke Le Hung Son

Quelle: Complex Analysis and Operator Theory. 19

Schlagwörter: 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

Dateibeschreibung: application/xml

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

Generalized partial-slice monogenic functions.

Autoren: Xu, Zhenghua Sabadini, Irene

Quelle: Transactions of the American Mathematical Society; Feb2025, Vol. 378 Issue 2, p851-883, 33p

Schlagwörter: TRANSFORMATION groups, IDENTITIES (Mathematics), MONOGENIC functions, CONFORMAL invariants, LAURENT series

GENERALIZED LOWER ORDER AND GENERALIZED LOWER TYPE OF MONOGENIC TAYLOR'S SERIES OF FINITE CONVERGENCE RADIUS.

Autoren: Kumar, Susheel Singh, Mohinder

Quelle: Bulletin of International Mathematical Virtual Institute; 2025, Vol. 15 Issue 1, p131-144, 14p

Schlagwörter: TAYLOR'S series, MONOGENIC functions, CLIFFORD algebras

Generalized Quantification Function of Monogenic Phase Congruency.

Autoren: Forero, Manuel G. Jacanamejoy, Carlos A. Machado, Maximiliano et al.

Quelle: Mathematics (2227-7390). Sep2023, Vol. 11 Issue 17, p3795. 16p.

Schlagwörter: *THEORY of distributions (Functional analysis), *MONOGENIC functions, *DIGITAL image processing, *COMPUTATIONAL complexity

Conformable fractional derivative in commutative algebras.

Autoren: Shpakivskyi, Vitalii S.¹ (AUTHOR) shpakivskyi86@gmail.com

Quelle: Journal of Mathematical Sciences. Aug2023, Vol. 274 Issue 3, p392-402. 11p.

Schlagwörter: *FUNCTION algebras, *MONOGENIC functions, *ASSOCIATIVE algebras, *CLIFFORD algebras, *COMMUTATIVE algebra, *ALGEBRA, *ANALYTIC functions

Gaussian random fields and monogenic images.

Autoren: Biermé, Hermine Carré, Philippe Lacaux, Céline et al.

Quelle: Applied & Computational Harmonic Analysis. Jan2026, Vol. 80, pN.PAG-N.PAG. 1p.

Schlagwörter: *PARAMETER estimation, *MONOGENIC functions, *GAUSSIAN Markov random fields, *IMAGE representation, *MULTIPLE scale method, *TEXTURE analysis (Image processing)