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 2022-01-01 to 2026-01-01.)

Article	Citations
Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform	40
On Complex Kinematics and Relativity	35
Biquaternionic Treatment of Inhomogeneous Time-Harmonic Maxwell’s Equations Over Unbounded Domains	17
Some Estimates for the Cauchy Transform in Higher Dimensions	16
Integral Formulas for Slice Cauchy–Riemann Operator and Applications	13
Introducing Multidimensional Dirac–Hestenes Equation	11
Supersymmetric Schur Q-functions and Super BKP Hierarchy	10
The Bessel–Clifford Function Associated to the Cayley–Laplace Operator	10
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras	10
Algebraic Properties of the Primitive Idempotent in Clifford Analysis	10
Quaternionic Generalized Norm Retrieval in Quaternion Euclidean Spaces	9
Bicomplex Version of Lebesgue’s Dominated Convergence Theorem and Hyperbolic Invariant Measure	9
Zeon and Idem-Clifford Formulations of Hypergraph Problems	9
Exploiting Degeneracy in Projective Geometric Algebra	8
Short Time Quaternion Quadratic Phase Fourier Transform and Its Uncertainty Principles	8
Carleson Measures for Slice Regular Hardy and Bergman Spaces in Quaternions	7
The Explicit Twisted Group Algebra Structure of the Cayley–Dickson Algebra	7
Fueter’s Theorem for One Class of Pseudoanalytic Functions	7
Bergman Operators on Clifford Monogenic Bergman Spaces	7
Geometric Invariant Decomposition of $$\text {SU}(\textbf{3})$$	7
Formalizing Geometric Algebra in Lean	6
Geometric Product of Two Oriented Points in Conformal Geometric Algebra	6
On Some Quaternionic Generalized Slice Regular Functions	6
Repeated Cayley–Dickson Processes and Subalgebras of Dimension 8	6
Group-Algebraic Characterization of Spin Particles: Semi-Simplicity, $$\mathbf {\mathbf {SO}(2N)}$$ Structure and Iwasawa Decomposition	6

Exploring Quaternion Neural Network Loss Surfaces	6
Outer and Eigen: Tangent Concepts	6
Beyond the 10-fold Way: 13 Associative $$ {\mathbb Z}_2\times {\mathbb Z}_2$$-Graded Superdivision Algebras	6
Separable Cowreaths Over Clifford Algebras	5
Multilevel Declassification Method for Geographic Vector Field Data: A Geometric Algebra Approach	5
Monogenic Fractional Powers in $$\mathbb {H}$$	5
Fractional Powers of the Quaternionic d-Bar Derivative	5
Free Probability Theory over the Scaled Hyperbolic Numbers	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
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces	4
The Möbius Addition and Generalized Laplace–Beltrami Operator in Octonionic Space	4
Bicomplex Weighted Bergman Spaces and Composition Operators	4
Some $$\mathbb {H}$$-Banach Modules and Fiber Bundles	4
Quaternionic Approach of Slant Ruled Surfaces	4
Computational Aspects of Geometric Algebra Products of Two Homogeneous Multivectors	4
The $$\mathcal {L_C}$$-Structure-Preserving Algorithms of Quaternion $$LDL^H$$ Decomposition and Cholesky Decomposition	3
Quaternion Convolutional Neural Networks: Current Advances and Future Directions	3
Integral Formulas and Teodorescu Transform for Generalized Partial-Slice Monogenic Functions	3
Boundedness of Multiparameter Forelli–Rudin Type Operators on Product $$L^p$$ Spaces over Tubular Domains	3
On Second Order Elliptic Systems of Partial Differential Equations in Clifford Analysis	3
Hyperbolic Spinor Representations of Non-Null Framed Curves	3
Geometric Algebra Speaks Quantum Esperanto	3
Heron’s Formula in Higher Dimensions	3
On the Bundle of Clifford Algebras Over the Space of Quadratic Forms	3
Isomorphisms of Partial Differential Equations in Clifford Analysis	3
Lyapunov Stability: A Geometric Algebra Approach	3
Binary Encoded Recursive Generation of Quantum Space-Times	3
Bedrosian Identities and Quaternion Hilbert Transforms: Advancing Color Image Pattern Recognition through Analytic Signal Processing	2
In Memoriam of Yuri M. Grigor’ev: An Overview of his Research	2
General Right-Sided Orthogonal 2D-Planes Split Quaternionic Wave-Packet Transform	2
Cameras Seeing Cameras Geometry	2
Bicomplex Neural Networks with Hypergeometric Activation Functions	2
Right-Covariant Differential Calculus on Hopf Superalgebra $${{\mathbb {F}}}({\mathbb {C}}_q^{2\|1})$$	2
Dirac Operators on Conformal Manifolds	2
Generalized Degenerate Clifford and Lipschitz Groups in Geometric Algebras	2
Series Representation of Solutions of Polynomial Dirac Equations	2
Extensions and Crossed Modules of $$\varvec{n}$$-Lie–Rinehart Algebras	2
Spinorial Representation of Surfaces in Lorentzian Homogeneous Spaces of Dimension $$\varvec{3}$$	2
On Monogenic Functions and the Dirac Complex of Two Vector Variables	2
Recent Advances for Meson Algebras and their Lipschitz Monoids	2
A New Type of Quaternionic Regularity	2
The Plemelj-Sokhotski Formulas Associated to the k-Cauchy-Fueter Operator	2
Twistor Operators in Symplectic Geometry	2
Construction of an Infinite-Dimensional Family of Exact Solutions of a Three-Dimensional Biharmonic Equation by the Hypercomplex Method	2
Multi-modal Medical Image Fusion Based on Geometric Algebra Discrete Cosine Transform	2
Determinant, Characteristic Polynomial, and Inverse in Commutative Analogues of Clifford Algebras	2
A Generalized Eigenvector–Eigenvalue Identity from the Viewpoint of Exterior Algebra	2
The Beurling Theorem for the Two-Sided Quaternionic Dunkl Transform	2

Linear Canonical Space-Time Transform and Convolution Theorems	2
Special Affine Fourier Transform for Space-Time Algebra Signals in Detail	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
Uncertainty Principles Associated with the Multi-dimensional Quaternionic Offset Linear Canonical Transform	2
Least-Squares Solutions of Generalized Sylvester-Type Quaternion Matrix Equations	2
Cauchy theorems for solutions to polynomial Dirac equations with $$\alpha $$-weight in superspace	2
Lorentz Invariance of the Multidimensional Dirac–Hestenes Equation	2
Scaled-Hyperbolic Clifford Algebras	2
Models of CR Manifolds and Their Symmetry Algebras	2