OOIR: Observatory of International Research

Papers

(The TQCC of Advances in Applied Clifford Algebras is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)

Article	Citations
STP Method for Solving the Least Squares Special Solutions of Quaternion Matrix Equations	35
Electrostatic Fields in Some Special Inhomogeneous Media and New Generalizations of the Cauchy–Riemann System	26
Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform	20
On Complex Kinematics and Relativity	13
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces	13
Correction to: Conformal Mappings Revisited in the Octonions and Clifford Algebras of Arbitrary Dimension	11
The Penrose Transform and the Exactness of the Tangential $$\pmb {k}$$-Cauchy–Fueter Complex on the Heisenberg Group	11
Some Estimates Over Spacelike Spin Hypersurfaces of Lorentzian Manifold	10
Vanishing Vector Rotation in Quadric Geometric Algebra	10
On Constant-Trace Representations of Degenerate Clifford Algebras	9
Basis-Free Formulas for Characteristic Polynomial Coefficients in Geometric Algebras	9
Solving and Algorithm to System of Quaternion Sylvester-Type Matrix Equations with $$*$$-Hermicity	8
On Jordan–Clifford Algebras, Three Fermion Generations with Higgs Fields and a $${{\mathrm {SU}(3) \times \mathrm {SU}(2)_L \times \mathrm {SU}(2)_R \times \mathrm {U}(1)}}$$ Model	8
Clifford Algebraic Approach to the De Donder–Weyl Hamiltonian Theory	8
Necessity of Tensorial Connections for Spinorial Systems	7
Two-sided Clifford-valued Linear Canonical Transform: Properties and Mustard Convolution	7
MiTopos	7
Riemann Boundary Value Problems for Monogenic Functions on the Hyperplane	7
Biquaternionic Treatment of Inhomogeneous Time-Harmonic Maxwell’s Equations Over Unbounded Domains	7
Some Estimates for the Cauchy Transform in Higher Dimensions	6
Isomorphisms of Partial Differential Equations in Clifford Analysis	6
Brownian Motion, Martingales and Itô Formula in Clifford Analysis	6
Rings with Centrally-Extended Higher $$*$$-Derivations	6
Quaternion Quantum Neural Network for Classification	5
Adaptive Fourier Decomposition of Slice Regular Functions	5

Integral Formulas for Slice Cauchy–Riemann Operator and Applications	5
Graded Symmetry Groups: Plane and Simple	5
Quaternionic Approach of Slant Ruled Surfaces	5
On the Bundle of Clifford Algebras Over the Space of Quadratic Forms	5
Multivector Contractions Revisited, Part I	5
Dynamical Systems of Operators Induced by Scaled Hypercomplex Rings	5
Symmetric Functions and 3D Fermion Representation of $$\pmb {W_{1+\infty }}$$ Algebra	4
Models of CR Manifolds and Their Symmetry Algebras	4
On Octonionic Submodules Generated by One Element	4
Multivector Contractions Revisited, Part II	4
Cauchy Integral Formula on the Distinguished Boundary with Values in Complex Universal Clifford Algebra	4
A Classical System of Matrix Equations Over the Split Quaternion Algebra	4
Bicomplex Weighted Bergman Spaces and Composition Operators	4
Spinorial Representation of Surfaces in Lorentzian Homogeneous Spaces of Dimension $$\varvec{3}$$	4
New Applications of Clifford’s Geometric Algebra	4
Fourier-Poisson Transforms Associated with the Principal Series Representations of Sp(1, n)	4
An Algorithm for the Factorization of Split Quaternion Polynomials	4
Some New Results for Function Theory in Hypercomplex Analysis with Parameters	4
The $$\mathcal {L_C}$$-Structure-Preserving Algorithms of Quaternion $$LDL^H$$ Decomposition and Cholesky Decomposition	4
Extensions and Crossed Modules of $$\varvec{n}$$-Lie–Rinehart Algebras	4
Biquaternion Extensions of Analytic Functions	4
Quaternion Convolutional Neural Networks: Current Advances and Future Directions	4
On Low-Dimensional Complex $$\omega $$-Lie Superalgebras	4
On the Problem of Choosing Subgroups of Clifford Algebras for Applications in Fundamental Physics	4
Short Time Quaternion Quadratic Phase Fourier Transform and Its Uncertainty Principles	3
A Geometric Algebra Approach to Invariance Control in Sliding Regimes for Switched Systems	3
On Structure of Inframonogenic Functions	3
Supersymmetric Schur Q-functions and Super BKP Hierarchy	3
Clifford-Valued Stockwell Transform and the Associated Uncertainty Principles	3
Convex Characteristics of Quaternionic Positive Definite Functions on Abelian Groups	3
MPCEP-$$*$$CEPMP-Solutions of Some Restricted Quaternion Matrix Equations	3
Energy–Momentum Complex in General Relativity and Gauge Theory	3
Adinkras: Graphs of Clifford Algebra Representations, Supersymmetry, and Codes	3
A New Approach to Slice Analysis Via Slice Topology	3
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras	3
Generalized Partial-Slice Monogenic Functions: A Synthesis of Two Function Theories	3
Clifford Algebras, Quantum Neural Networks and Generalized Quantum Fourier Transform	3
An Online Calculator for Quantum Computing Operations Based on Geometric Algebra	3
Zeon and Idem-Clifford Formulations of Hypergraph Problems	3
Bicomplex Version of Lebesgue’s Dominated Convergence Theorem and Hyperbolic Invariant Measure	3
A New Way to Construct the Riemann Curvature Tensor Using Geometric Algebra and Division Algebraic Structure	3