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 2021-09-01 to 2025-09-01.)

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
Quaternionic Generalized Norm Retrieval in Quaternion Euclidean Spaces	10
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras	9
Supersymmetric Schur Q-functions and Super BKP Hierarchy	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
Exploiting Degeneracy in Projective Geometric Algebra	7
Fueter’s Theorem for One Class of Pseudoanalytic Functions	7
Bergman Operators on Clifford Monogenic Bergman Spaces	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
Carleson Measures for Slice Regular Hardy and Bergman Spaces in Quaternions	6
Repeated Cayley–Dickson Processes and Subalgebras of Dimension 8	6
Computational Aspects of Geometric Algebra Products of Two Homogeneous Multivectors	5

Deep Learning Gauss–Manin Connections	5
Group-Algebraic Characterization of Spin Particles: Semi-Simplicity, $$\mathbf {\mathbf {SO}(2N)}$$ Structure and Iwasawa Decomposition	5
Projective Points Over Matrices and Their Separability Properties	5
Beyond the 10-fold Way: 13 Associative $$ {\mathbb Z}_2\times {\mathbb Z}_2$$-Graded Superdivision Algebras	5
Fractional Powers of the Quaternionic d-Bar Derivative	5
The Möbius Addition and Generalized Laplace–Beltrami Operator in Octonionic Space	5
Separable Cowreaths Over Clifford Algebras	5
On Some Quaternionic Generalized Slice Regular Functions	5
An Extension of Slice Regular Functions in Terms of Fiber Bundle Theory	5
Bicomplex Weighted Bergman Spaces and Composition Operators	4
The $$\mathcal {L_C}$$-Structure-Preserving Algorithms of Quaternion $$LDL^H$$ Decomposition and Cholesky Decomposition	4
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces	4
Heron’s Formula in Higher Dimensions	4
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
Quaternion Convolutional Neural Networks: Current Advances and Future Directions	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
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
A New Type of Quaternionic Regularity	3
Right-Covariant Differential Calculus on Hopf Superalgebra $${{\mathbb {F}}}({\mathbb {C}}_q^{2\|1})$$	3
Correction to: Blade Products and Angles Between Subspaces	3
Least-Squares Solutions of Generalized Sylvester-Type Quaternion Matrix Equations	3
Twistor Operators in Symplectic Geometry	3
Uncertainty Principles Associated with the Multi-dimensional Quaternionic Offset Linear Canonical Transform	3
Conics, Their Pencils and Intersections in Geometric Algebra	3
Binary Encoded Recursive Generation of Quantum Space-Times	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
Exotic Instantons in Eight Dimensions	3
Bicomplex Neural Networks with Hypergeometric Activation Functions	3
The Plemelj-Sokhotski Formulas Associated to the k-Cauchy-Fueter Operator	3