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 2021-08-01 to 2025-08-01.)

Article	Citations
Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform	40
On Complex Kinematics and Relativity	29
Biquaternionic Treatment of Inhomogeneous Time-Harmonic Maxwell’s Equations Over Unbounded Domains	15
Some Estimates for the Cauchy Transform in Higher Dimensions	14
Integral Formulas for Slice Cauchy–Riemann Operator and Applications	13
Introducing Multidimensional Dirac–Hestenes Equation	12
Bicomplex Version of Lebesgue’s Dominated Convergence Theorem and Hyperbolic Invariant Measure	10
The Bessel–Clifford Function Associated to the Cayley–Laplace Operator	10
Supersymmetric Schur Q-functions and Super BKP Hierarchy	10
Quaternionic Generalized Norm Retrieval in Quaternion Euclidean Spaces	10
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras	9
Zeon and Idem-Clifford Formulations of Hypergraph Problems	8
Short Time Quaternion Quadratic Phase Fourier Transform and Its Uncertainty Principles	8
Geometric Invariant Decomposition of $$\text {SU}(\textbf{3})$$	7
A Multiplication Technique for the Factorization of Bivariate Quaternionic Polynomials	7
Spectrally Simple Zeros of Zeon Polynomials	7
Fueter’s Theorem for One Class of Pseudoanalytic Functions	7
Carleson Measures for Slice Regular Hardy and Bergman Spaces in Quaternions	6
Repeated Cayley–Dickson Processes and Subalgebras of Dimension 8	6
Exploring Quaternion Neural Network Loss Surfaces	6
Formalizing Geometric Algebra in Lean	6
Geometric Product of Two Oriented Points in Conformal Geometric Algebra	6
The Explicit Twisted Group Algebra Structure of the Cayley–Dickson Algebra	6
Exploiting Degeneracy in Projective Geometric Algebra	6
On Some Quaternionic Generalized Slice Regular Functions	5

Group-Algebraic Characterization of Spin Particles: Semi-Simplicity, $$\mathbf {\mathbf {SO}(2N)}$$ Structure and Iwasawa Decomposition	5
Computational Aspects of Geometric Algebra Products of Two Homogeneous Multivectors	5
Deep Learning Gauss–Manin Connections	5
Fractional Powers of the Quaternionic d-Bar Derivative	5
Separable Cowreaths Over Clifford Algebras	5
Beyond the 10-fold Way: 13 Associative $$ {\mathbb Z}_2\times {\mathbb Z}_2$$-Graded Superdivision Algebras	5
An Extension of Slice Regular Functions in Terms of Fiber Bundle Theory	5
The Möbius Addition and Generalized Laplace–Beltrami Operator in Octonionic Space	5
Multilevel Declassification Method for Geographic Vector Field Data: A Geometric Algebra Approach	4
Quaternionic Approach of Slant Ruled Surfaces	4
Isomorphisms of Partial Differential Equations in Clifford Analysis	4
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces	4
Correction to: Blade Products and Angles Between Subspaces	4
Some $$\mathbb {H}$$-Banach Modules and Fiber Bundles	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
Geometric Algebra Speaks Quantum Esperanto	4
Binary Encoded Recursive Generation of Quantum Space-Times	4
Projective Points Over Matrices and Their Separability Properties	4
Bicomplex Weighted Bergman Spaces and Composition Operators	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
Heron’s Formula in Higher Dimensions	4
Lyapunov Stability: A Geometric Algebra Approach	3
Boundedness of Multiparameter Forelli–Rudin Type Operators on Product $$L^p$$ Spaces over Tubular Domains	3
Construction of an Infinite-Dimensional Family of Exact Solutions of a Three-Dimensional Biharmonic Equation by the Hypercomplex Method	3
Bicomplex Neural Networks with Hypergeometric Activation Functions	3
Uncertainty Principles Associated with the Multi-dimensional Quaternionic Offset Linear Canonical Transform	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
Twistor Operators in Symplectic Geometry	3
Operators and Field Equations in the Electroweak Sector of Particle Physics	3
A New Type of Quaternionic Regularity	3
Least-Squares Solutions of Generalized Sylvester-Type Quaternion Matrix Equations	3
Exotic Instantons in Eight Dimensions	3
Right-Covariant Differential Calculus on Hopf Superalgebra $${{\mathbb {F}}}({\mathbb {C}}_q^{2\|1})$$	3
Conics, Their Pencils and Intersections in Geometric Algebra	3