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Everything about Quaternionic analysis
Function theory with quaternion variable
In mathematics, quaternionic analysis is the study of functions with quaternions as the domain and/or range. Such functions can be called functions of a quaternion variable just as functions of a real variable or a complex variable are called. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Quaternionic analysisA 5-minute orientation
- Skim a recent paper: A Borel–Pompeiu formula in a (q,q′)-model of quaternionic analysisInfluential work since 2022
- Pick up a classic book: Elements of quaternionsThe most-reprinted book on the subject
- Read the landmark paper: Quaternionic analysisCited 553 times
- Go sideways: Cayley transformA closely related topic
- Go sideways: Symmetrization methodsA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Quaternionic analysis
Modified quaternionic analysis in
Quaternionic analysis, representation theory and physics
Quaternionic Clifford Analysis: The Hermitian Setting
Cauchy Integral Formulae in Quaternionic Hermitean Clifford Analysis
On quaternionic functional analysis
On the optimal control method in quaternionic analysis
Clifford analysis versus its quaternionic counterparts
🆕 Influential since 2022
A Borel–Pompeiu formula in a (q,q′)-model of quaternionic analysis
Variational Principles in Quaternionic Analysis with Applications to the Stationary MHD Equations
Quaternionic time-frequency analysis in the free metaplectic domain: Theory and applications of the windowed quaternionic free metaplectic transformation
Harmonic analysis on the quaternionic unit ball
The Dirac Equation from the Perspective of Quaternionic Analysis
📚 Books worth reading
Elements of quaternionsWilliam Rowan Hamilton · 1866
Spacecraft Modeling, Attitude Determination, and ControlYaguang Yang · 2019
On quaternions and octonionsJohn Horton Conway, Derek A. Smith · 2003- 📕Quaternion and Clifford Fourier TransformsEckhard Hitzer · 2021
The collected works of J. Willard GibbsJ. Willard Gibbs · 1928
Vector analysis and quaternionsAlexander Macfarlane · 1896
Quaternion and Clifford Fourier Transforms and WaveletsEckhard Hitzer · 2013
The Outlines of QuaternionsHenry William Lovett Hime · 1894
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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