Bicomplex hyperfunctions

DOI10.1007/s10231-010-0148-zzbMath1226.30044OpenAlexW3187834840MaRDI QIDQ540725

Daniele C. Struppa, Fabrizio Colombo, Irene Sabadini, Adrian Vajiac, Mihaela Vajiac

Publication date: 3 June 2011

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-010-0148-z

zbMATH Keywords

dualityDolbeault complexsyzygyhyperfunctionsresolutionsbicomplex numbersPDE systems

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) Hyperfunctions, analytic functionals (46F15) Overdetermined systems of PDEs with constant coefficients (35N05)

Related Items (7)

Complex Laplacian and derivatives of bicomplex functions ⋮ Interpolation with symmetry and a Herglotz theorem in the bicomplex setting ⋮ Bernstein-type Inequalities for Bicomplex Polynomials ⋮ Bicomplex analogs of Segal-Bargmann and fractional Fourier transforms ⋮ Total differentiability and monogenicity for functions in algebras of order 4 ⋮ Sato's hyperfunctions and boundary values of monogenic functions ⋮ Fractional elementary bicomplex functions in the Riemann-Liouville sense

Cites Work

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• Open problems in Clifford analysis and its applications
• Singularities of functions of one and several bicomplex variables
• Patterson-Sullivan theory in higher rank symmetric spaces
• Analysis of Dirac systems and computational algebra.
• Quaternionic hyperfunctions on five-dimensional varieties in \(\mathbb H^2\)
• On a relation of bicomplex pseudoanalytic function theory to the complexified stationary Schrödinger equation
• NORMAL FAMILIES OF BICOMPLEX HOLOMORPHIC FUNCTIONS
• Complexified clifford analysis

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