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 2022-06-01 to 2026-06-01.)

Article	Citations
Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform	16
On Complex Kinematics and Relativity	14
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
The Bessel–Clifford Function Associated to the Cayley–Laplace Operator	10
Introducing Multidimensional Dirac–Hestenes Equation	10
Zeon and Idem-Clifford Formulations of Hypergraph Problems	10
Algebraic Properties of the Primitive Idempotent in Clifford Analysis	10
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras	10
Supersymmetric Schur Q-functions and Super BKP Hierarchy	9
Quaternionic Generalized Norm Retrieval in Quaternion Euclidean Spaces	9
Fueter’s Theorem for One Class of Pseudoanalytic Functions	8
Short Time Quaternion Quadratic Phase Fourier Transform and Its Uncertainty Principles	8
Geometric Invariant Decomposition of $$\text {SU}(\textbf{3})$$	8
Bicomplex Version of Lebesgue’s Dominated Convergence Theorem and Hyperbolic Invariant Measure	8
Flux Quantization in Type II Superconductors	8
Exploiting Degeneracy in Projective Geometric Algebra	8
Conformal Geometric Algebra and Galilean Spacetime	7
Repeated Cayley–Dickson Processes and Subalgebras of Dimension 8	7
Bergman Operators on Clifford Monogenic Bergman Spaces	7
Carleson Measures for Slice Regular Hardy and Bergman Spaces in Quaternions	7
Geometric Product of Two Oriented Points in Conformal Geometric Algebra	7
Exploring Quaternion Neural Network Loss Surfaces	6
Bicomplex Polyholomorphic Bergman Spaces Associated with a Bicomplex Magnetic Laplacian on the Discus	6

Outer and Eigen: Tangent Concepts	6
The Explicit Twisted Group Algebra Structure of the Cayley–Dickson Algebra	6
Free Probability Theory over the Scaled Hyperbolic Numbers	5
On Some Quaternionic Generalized Slice Regular Functions	5
Separable Cowreaths Over Clifford Algebras	5
Group-Algebraic Characterization of Spin Particles: Semi-Simplicity, $$\mathbf {\mathbf {SO}(2N)}$$ Structure and Iwasawa Decomposition	5
Monogenic Fractional Powers in $$\mathbb {H}$$	4
Computational Aspects of Geometric Algebra Products of Two Homogeneous Multivectors	4
Fractional Powers of the Quaternionic d-Bar Derivative	4
The Möbius Addition and Generalized Laplace–Beltrami Operator in Octonionic Space	4
An Extension of Slice Regular Functions in Terms of Fiber Bundle Theory	4
Beyond the 10-fold Way: 13 Associative $$ {\mathbb Z}_2\times {\mathbb Z}_2$$-Graded Superdivision Algebras	4
Multilevel Declassification Method for Geographic Vector Field Data: A Geometric Algebra Approach	4
On Second Order Elliptic Systems of Partial Differential Equations in Clifford Analysis	3
Binary Encoded Recursive Generation of Quantum Space-Times	3
Quadratic Motion Polynomials with Irregular Factorizations	3
Boundedness of Multiparameter Forelli–Rudin Type Operators on Product $$L^p$$ Spaces over Tubular Domains	3
Some $$\mathbb {H}$$-Banach Modules and Fiber Bundles	3
On the Bundle of Clifford Algebras Over the Space of Quadratic Forms	3
Bicomplex Weighted Bergman Spaces and Composition Operators	3
Heron’s Formula in Higher Dimensions	3
Geometric Algebra Speaks Quantum Esperanto	3
Quaternion Convolutional Neural Networks: Current Advances and Future Directions	3
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces	3
The $$\mathcal {L_C}$$-Structure-Preserving Algorithms of Quaternion $$LDL^H$$ Decomposition and Cholesky Decomposition	3
Hyperbolic Spinor Representations of Non-Null Framed Curves	3
The Scattering Algebra of Physical Space: Squared Massive Constructive Amplitudes	3
Integral Formulas and Teodorescu Transform for Generalized Partial-Slice Monogenic Functions	3
On Lie Groups Preserving Subspaces of Degenerate Clifford Algebras	3
Quaternionic Approach of Slant Ruled Surfaces	3
Some Properties and the Teodorescu Transform in Higher Spin Clifford Analysis	2
Uncertainty Principles Associated with the Multi-dimensional Quaternionic Offset Linear Canonical Transform	2
Dirac Operators on Conformal Manifolds	2
The Beurling Theorem for the Two-Sided Quaternionic Dunkl Transform	2
Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States	2
Lorentz Invariance of the Multidimensional Dirac–Hestenes Equation	2
Linear Canonical Space-Time Transform and Convolution Theorems	2
Bedrosian Identities and Quaternion Hilbert Transforms: Advancing Color Image Pattern Recognition through Analytic Signal Processing	2
Recent Advances for Meson Algebras and their Lipschitz Monoids	2
Generalized Degenerate Clifford and Lipschitz Groups in Geometric Algebras	2
Conics, Their Pencils and Intersections in Geometric Algebra	2
Right-Covariant Differential Calculus on Hopf Superalgebra $${{\mathbb {F}}}({\mathbb {C}}_q^{2\|1})$$	2
Construction of an Infinite-Dimensional Family of Exact Solutions of a Three-Dimensional Biharmonic Equation by the Hypercomplex Method	2
Extensions of Jacobson’s Lemma and Cline’s formula in the Quaternionic Setting	2
On Monogenic Functions and the Dirac Complex of Two Vector Variables	2
Series Representation of Solutions of Polynomial Dirac Equations	2
A Generalized Eigenvector–Eigenvalue Identity from the Viewpoint of Exterior Algebra	2
A New Way to Construct the Riemann Curvature Tensor Using Geometric Algebra and Division Algebraic Structure	2
Determinant, Characteristic Polynomial, and Inverse in Commutative Analogues of Clifford Algebras	2
Models of CR Manifolds and Their Symmetry Algebras	2

General Right-Sided Orthogonal 2D-Planes Split Quaternionic Wave-Packet Transform	2
Construction of Special Conics in Pencils of Conics Using Geometric Algebra for Conics	2
Cauchy theorems for solutions to polynomial Dirac equations with $$\alpha $$-weight in superspace	2
Least-Squares Solutions of Generalized Sylvester-Type Quaternion Matrix Equations	2
Bicomplex Neural Networks with Hypergeometric Activation Functions	2
A New Type of Quaternionic Regularity	2
A Real Method for Solving Octonion Matrix Equation $$AXB=C$$ Based on Semi-tensor Product of Matrices	2
Scaled-Hyperbolic Clifford Algebras	2
Special Affine Fourier Transform for Space-Time Algebra Signals in Detail	2
In Memoriam of Yuri M. Grigor’ev: An Overview of his Research	2
The Plemelj-Sokhotski Formulas Associated to the k-Cauchy-Fueter Operator	2
(Anti) de Sitter Geometry, Complex Conformal Gravity-Maxwell Theory from a Cl(4, C) Gauge Theory of Gravity and Grand Unification	2