The Cauchy-Kowalewski product for bicomplex holomorphic functions
From MaRDI portal
Publication:2905239
DOI10.1002/mana.201100047zbMath1258.30023OpenAlexW2000190064MaRDI QIDQ2905239
Daniele C. Struppa, Hendrik De Bie, Adrian Vajiac, Mihaela Vajiac
Publication date: 27 August 2012
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201100047
Functions of hypercomplex variables and generalized variables (30G35) Cauchy-Kovalevskaya theorems (35A10)
Related Items (14)
Topological bicomplex modules ⋮ Bicomplex weighted Hardy spaces and bicomplex \(C^*\)-algebras ⋮ Complex Ternary Analysis and Applications ⋮ A new type of quaternionic regularity ⋮ An extension of the complex–real (C–R) calculus to the bicomplex setting, with applications ⋮ Some fundamental theorems of functional analysis with bicomplex and hyperbolic scalars ⋮ Interpolation with symmetry and a Herglotz theorem in the bicomplex setting ⋮ A note on the complex and bicomplex valued neural networks ⋮ Bicomplex neural networks with hypergeometric activation functions ⋮ Bicomplex Bergman and Bloch spaces ⋮ Bicomplex linear operators on bicomplex Hilbert spaces and Littlewood's subordination theorem ⋮ Bicomplex analogs of Segal-Bargmann and fractional Fourier transforms ⋮ Unnamed Item ⋮ Bicomplex holomorphic functional calculus
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Special functions in Clifford analysis and axial symmetry
- Regular functions of several quaternionic variables and the Cauchy-Fueter complex
- Clifford-Hermite wavelets in Euclidean space
- Quaternionic hyperfunctions on five-dimensional varieties in \(\mathbb H^2\)
- Monogenic functions on surfaces.
- On a relation of bicomplex pseudoanalytic function theory to the complexified stationary Schrödinger equation
- NORMAL FAMILIES OF BICOMPLEX HOLOMORPHIC FUNCTIONS
- Complexified clifford analysis
- Sheaves of quaternionic hyperfunctions and microfunctions
This page was built for publication: The Cauchy-Kowalewski product for bicomplex holomorphic functions
