Multicomplex hyperfunctions

DOI10.1080/17476933.2011.603419zbMath1251.30058OpenAlexW4234337710MaRDI QIDQ3167673

Mihaela Vajiac, Adrian Vajiac

Publication date: 2 November 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.603419

zbMATH Keywords

hyperfunctionsbicomplex numbersmulticomplex numbershypercomplex analysis

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Integral representations of solutions to PDEs (35C15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Overdetermined systems of PDEs with constant coefficients (35N05)

Related Items (14)

Multicomplex wave functions for linear and nonlinear Schrödinger equations ⋮ Complex Ternary Analysis and Applications ⋮ A study of dynamics of the tricomplex polynomial \(\eta ^p+c\) ⋮ Complex Laplacian and derivatives of bicomplex functions ⋮ Characterization of the principal 3D slices related to the multicomplex Mandelbrot set ⋮ Discrete Wiener algebra in the bicomplex setting, spectral factorization with symmetry, and superoscillations ⋮ A multicomplex Riemann zeta function ⋮ TRICOMPLEX DYNAMICAL SYSTEMS GENERATED BY POLYNOMIALS OF ODD DEGREE ⋮ Interpolation with symmetry and a Herglotz theorem in the bicomplex setting ⋮ A note on the complex and bicomplex valued neural networks ⋮ Infinite dimensional bicomplex spectral decomposition theorem ⋮ Ternary Clifford algebras ⋮ Sato's hyperfunctions and boundary values of monogenic functions ⋮ Tricomplex Distance Estimation for Filled-In Julia Sets and Multibrot Sets

Cites Work

• Unnamed Item
• Singularities of functions of one and several bicomplex variables
• Regular functions of several quaternionic variables and the Cauchy-Fueter complex
• Quaternionic hyperfunctions on five-dimensional varieties in \(\mathbb H^2\)
• Holomorphy in Multicomplex Spaces
• On a relation of bicomplex pseudoanalytic function theory to the complexified stationary Schrödinger equation
• ON A GENERALIZED FATOU–JULIA THEOREM IN MULTICOMPLEX SPACES
• NORMAL FAMILIES OF BICOMPLEX HOLOMORPHIC FUNCTIONS
• Complexified clifford analysis
• Quaternionic analysis

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