OOIR: Observatory of International Research

Papers

(The TQCC of Advances in Applied Clifford Algebras is 2. 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 2021-11-01 to 2025-11-01.)

Article	Citations
Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform	40
On Complex Kinematics and Relativity	31
Biquaternionic Treatment of Inhomogeneous Time-Harmonic Maxwell’s Equations Over Unbounded Domains	16
Some Estimates for the Cauchy Transform in Higher Dimensions	16
Introducing Multidimensional Dirac–Hestenes Equation	13
Integral Formulas for Slice Cauchy–Riemann Operator and Applications	12
Supersymmetric Schur Q-functions and Super BKP Hierarchy	10
The Bessel–Clifford Function Associated to the Cayley–Laplace Operator	10
Bicomplex Version of Lebesgue’s Dominated Convergence Theorem and Hyperbolic Invariant Measure	10
Quaternionic Generalized Norm Retrieval in Quaternion Euclidean Spaces	9
Zeon and Idem-Clifford Formulations of Hypergraph Problems	9
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras	9
Short Time Quaternion Quadratic Phase Fourier Transform and Its Uncertainty Principles	8
Exploiting Degeneracy in Projective Geometric Algebra	8
Geometric Invariant Decomposition of $$\text {SU}(\textbf{3})$$	8
Carleson Measures for Slice Regular Hardy and Bergman Spaces in Quaternions	7
A Multiplication Technique for the Factorization of Bivariate Quaternionic Polynomials	7
Fueter’s Theorem for One Class of Pseudoanalytic Functions	7
Exploring Quaternion Neural Network Loss Surfaces	6
Repeated Cayley–Dickson Processes and Subalgebras of Dimension 8	6
The Explicit Twisted Group Algebra Structure of the Cayley–Dickson Algebra	6
Formalizing Geometric Algebra in Lean	6
Bergman Operators on Clifford Monogenic Bergman Spaces	6
Outer and Eigen: Tangent Concepts	6
On Some Quaternionic Generalized Slice Regular Functions	5

Deep Learning Gauss–Manin Connections	5
An Extension of Slice Regular Functions in Terms of Fiber Bundle Theory	5
Projective Points Over Matrices and Their Separability Properties	5
Group-Algebraic Characterization of Spin Particles: Semi-Simplicity, $$\mathbf {\mathbf {SO}(2N)}$$ Structure and Iwasawa Decomposition	5
Separable Cowreaths Over Clifford Algebras	5
Monogenic Fractional Powers in $$\mathbb {H}$$	5
Fractional Powers of the Quaternionic d-Bar Derivative	5
Beyond the 10-fold Way: 13 Associative $$ {\mathbb Z}_2\times {\mathbb Z}_2$$-Graded Superdivision Algebras	5
Geometric Product of Two Oriented Points in Conformal Geometric Algebra	5
The Möbius Addition and Generalized Laplace–Beltrami Operator in Octonionic Space	5
Some $$\mathbb {H}$$-Banach Modules and Fiber Bundles	4
Quaternionic Approach of Slant Ruled Surfaces	4
Multilevel Declassification Method for Geographic Vector Field Data: A Geometric Algebra Approach	4
Bicomplex Weighted Bergman Spaces and Composition Operators	4
On the Bundle of Clifford Algebras Over the Space of Quadratic Forms	4
Computational Aspects of Geometric Algebra Products of Two Homogeneous Multivectors	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
On Second Order Elliptic Systems of Partial Differential Equations in Clifford Analysis	3
Cauchy theorems for solutions to polynomial Dirac equations with $$\alpha $$-weight in superspace	3
Twistor Operators in Symplectic Geometry	3
Boundedness of Multiparameter Forelli–Rudin Type Operators on Product $$L^p$$ Spaces over Tubular Domains	3
Isomorphisms of Partial Differential Equations in Clifford Analysis	3
Geometric Algebra Speaks Quantum Esperanto	3
Least-Squares Solutions of Generalized Sylvester-Type Quaternion Matrix Equations	3
Exotic Instantons in Eight Dimensions	3
Integral Formulas and Teodorescu Transform for Generalized Partial-Slice Monogenic Functions	3
Heron’s Formula in Higher Dimensions	3
Binary Encoded Recursive Generation of Quantum Space-Times	3
Lyapunov Stability: A Geometric Algebra Approach	3
Construction of an Infinite-Dimensional Family of Exact Solutions of a Three-Dimensional Biharmonic Equation by the Hypercomplex Method	3
Quaternion Convolutional Neural Networks: Current Advances and Future Directions	3
Multi-modal Medical Image Fusion Based on Geometric Algebra Discrete Cosine Transform	2
General Right-Sided Orthogonal 2D-Planes Split Quaternionic Wave-Packet Transform	2
Uncertainty Principles Associated with the Multi-dimensional Quaternionic Offset Linear Canonical Transform	2
Right-Covariant Differential Calculus on Hopf Superalgebra $${{\mathbb {F}}}({\mathbb {C}}_q^{2\|1})$$	2
The Plemelj-Sokhotski Formulas Associated to the k-Cauchy-Fueter Operator	2
Special Affine Fourier Transform for Space-Time Algebra Signals in Detail	2
M, The Power Definition in Geometric Algebra that Unveils the Shortcomings of the Nonsinusoidal Apparent Power S	2
A Real Method for Solving Octonion Matrix Equation $$AXB=C$$ Based on Semi-tensor Product of Matrices	2
Extensions and Crossed Modules of $$\varvec{n}$$-Lie–Rinehart Algebras	2
A New Way to Construct the Riemann Curvature Tensor Using Geometric Algebra and Division Algebraic Structure	2
Generalized Degenerate Clifford and Lipschitz Groups in Geometric Algebras	2
(Anti) de Sitter Geometry, Complex Conformal Gravity-Maxwell Theory from a Cl(4, C) Gauge Theory of Gravity and Grand Unification	2
Conics, Their Pencils and Intersections in Geometric Algebra	2
Bicomplex Neural Networks with Hypergeometric Activation Functions	2
In Memoriam of Yuri M. Grigor’ev: An Overview of his Research	2
Monogenic Cauchy Implies Holomorphic Bochner–Martinelli	2
On Monogenic Functions and the Dirac Complex of Two Vector Variables	2
Series Representation of Solutions of Polynomial Dirac Equations	2

Models of CR Manifolds and Their Symmetry Algebras	2
Recent Advances for Meson Algebras and their Lipschitz Monoids	2
The Beurling Theorem for the Two-Sided Quaternionic Dunkl Transform	2
Cameras Seeing Cameras Geometry	2
A New Type of Quaternionic Regularity	2
Determinant, Characteristic Polynomial, and Inverse in Commutative Analogues of Clifford Algebras	2
Scaled-Hyperbolic Clifford Algebras	2
Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States	2
A Generalized Eigenvector–Eigenvalue Identity from the Viewpoint of Exterior Algebra	2
Linear Canonical Space-Time Transform and Convolution Theorems	2
Spinorial Representation of Surfaces in Lorentzian Homogeneous Spaces of Dimension $$\varvec{3}$$	2