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 2021-06-01 to 2025-06-01.)

Article	Citations
Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform	37
On Complex Kinematics and Relativity	29
On Constant-Trace Representations of Degenerate Clifford Algebras	15
Biquaternionic Treatment of Inhomogeneous Time-Harmonic Maxwell’s Equations Over Unbounded Domains	13
Some Estimates for the Cauchy Transform in Higher Dimensions	12
Integral Formulas for Slice Cauchy–Riemann Operator and Applications	11
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	10
On Structure of Inframonogenic Functions	10
Introducing Multidimensional Dirac–Hestenes Equation	10
Quaternionic Generalized Norm Retrieval in Quaternion Euclidean Spaces	10
The Bessel–Clifford Function Associated to the Cayley–Laplace Operator	9
On the Problem of Choosing Subgroups of Clifford Algebras for Applications in Fundamental Physics	9
Bicomplex Version of Lebesgue’s Dominated Convergence Theorem and Hyperbolic Invariant Measure	9
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras	8
Supersymmetric Schur Q-functions and Super BKP Hierarchy	8
Short Time Quaternion Quadratic Phase Fourier Transform and Its Uncertainty Principles	7
Zeon and Idem-Clifford Formulations of Hypergraph Problems	7
A Multiplication Technique for the Factorization of Bivariate Quaternionic Polynomials	7
Repeated Cayley–Dickson Processes and Subalgebras of Dimension 8	6
Generalizing Classical Clifford Algebras, Graded Clifford Algebras and their Associated Geometry	6
The Explicit Twisted Group Algebra Structure of the Cayley–Dickson Algebra	6
Formalizing Geometric Algebra in Lean	6
Fueter’s Theorem for One Class of Pseudoanalytic Functions	6
Geometric Product of Two Oriented Points in Conformal Geometric Algebra	6
Spectrally Simple Zeros of Zeon Polynomials	6

Geometric Invariant Decomposition of $$\text {SU}(\textbf{3})$$	6
Fractional Powers of the Quaternionic d-Bar Derivative	5
Group-Algebraic Characterization of Spin Particles: Semi-Simplicity, $$\mathbf {\mathbf {SO}(2N)}$$ Structure and Iwasawa Decomposition	5
The Möbius Addition and Generalized Laplace–Beltrami Operator in Octonionic Space	5
Deep Learning Gauss–Manin Connections	5
Carleson Measures for Slice Regular Hardy and Bergman Spaces in Quaternions	5
Exploring Quaternion Neural Network Loss Surfaces	5
Beyond the 10-fold Way: 13 Associative $$ {\mathbb Z}_2\times {\mathbb Z}_2$$-Graded Superdivision Algebras	5
Computational Aspects of Geometric Algebra Products of Two Homogeneous Multivectors	5
On Some Quaternionic Generalized Slice Regular Functions	5
Separable Cowreaths Over Clifford Algebras	5
An Extension of Slice Regular Functions in Terms of Fiber Bundle Theory	5
Projective Points Over Matrices and Their Separability Properties	5
Binary Encoded Recursive Generation of Quantum Space-Times	4
Multilevel Declassification Method for Geographic Vector Field Data: A Geometric Algebra Approach	4
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces	4
The $$\mathcal {L_C}$$-Structure-Preserving Algorithms of Quaternion $$LDL^H$$ Decomposition and Cholesky Decomposition	4
Quaternion Convolutional Neural Networks: Current Advances and Future Directions	4
Energy–Momentum Complex in General Relativity and Gauge Theory	4
Some $$\mathbb {H}$$-Banach Modules and Fiber Bundles	4
Quaternionic Approach of Slant Ruled Surfaces	4
Isomorphisms of Partial Differential Equations in Clifford Analysis	4
Geometric Algebra Speaks Quantum Esperanto	4
Correction to: Blade Products and Angles Between Subspaces	4
Hyperquaternion Conformal Groups	4
Bicomplex Weighted Bergman Spaces and Composition Operators	4
On the Bundle of Clifford Algebras Over the Space of Quadratic Forms	4
On Second Order Elliptic Systems of Partial Differential Equations in Clifford Analysis	4
Heron’s Formula in Higher Dimensions	4
A Variation on Uncertainty Principles for Quaternion Linear Canonical Transform	3
Lyapunov Stability: A Geometric Algebra Approach	3
Bicomplex Neural Networks with Hypergeometric Activation Functions	3
Uncertainty Principles Associated with the Multi-dimensional Quaternionic Offset Linear Canonical Transform	3
General Right-Sided Orthogonal 2D-Planes Split Quaternionic Wave-Packet Transform	3
Least-Squares Solutions of Generalized Sylvester-Type Quaternion Matrix Equations	3
Exotic Instantons in Eight Dimensions	3
Twistor Operators in Symplectic Geometry	3
Right-Covariant Differential Calculus on Hopf Superalgebra $${{\mathbb {F}}}({\mathbb {C}}_q^{2\|1})$$	3
Operators and Field Equations in the Electroweak Sector of Particle Physics	3
A Real Method for Solving Quaternion Matrix Equation $$\mathbf{X}-\mathbf{A}{\hat{\mathbf{X}}}{} \mathbf{B} = \mathbf{C}$$ Based on Semi-Tensor Product of Matrices	3
Construction of an Infinite-Dimensional Family of Exact Solutions of a Three-Dimensional Biharmonic Equation by the Hypercomplex Method	3
Weighted Minimization Problems for Quaternion Matrices	3
A New Type of Quaternionic Regularity	3