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 2022-05-01 to 2026-05-01.)

Article	Citations
Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform	15
On Complex Kinematics and Relativity	14
Biquaternionic Treatment of Inhomogeneous Time-Harmonic Maxwell’s Equations Over Unbounded Domains	12
Algebraic Properties of the Primitive Idempotent in Clifford Analysis	11
Some Estimates for the Cauchy Transform in Higher Dimensions	11
The Bessel–Clifford Function Associated to the Cayley–Laplace Operator	10
Integral Formulas for Slice Cauchy–Riemann Operator and Applications	10
Introducing Multidimensional Dirac–Hestenes Equation	10
Zeon and Idem-Clifford Formulations of Hypergraph Problems	9
Bicomplex Version of Lebesgue’s Dominated Convergence Theorem and Hyperbolic Invariant Measure	9
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras	9
Short Time Quaternion Quadratic Phase Fourier Transform and Its Uncertainty Principles	8
Supersymmetric Schur Q-functions and Super BKP Hierarchy	8
Exploiting Degeneracy in Projective Geometric Algebra	8
Quaternionic Generalized Norm Retrieval in Quaternion Euclidean Spaces	8
Geometric Invariant Decomposition of $$\text {SU}(\textbf{3})$$	8
Outer and Eigen: Tangent Concepts	7
Bergman Operators on Clifford Monogenic Bergman Spaces	7
Fueter’s Theorem for One Class of Pseudoanalytic Functions	7
Geometric Product of Two Oriented Points in Conformal Geometric Algebra	7
Carleson Measures for Slice Regular Hardy and Bergman Spaces in Quaternions	7
Repeated Cayley–Dickson Processes and Subalgebras of Dimension 8	7
Flux Quantization in Type II Superconductors	7
The Explicit Twisted Group Algebra Structure of the Cayley–Dickson Algebra	6
Exploring Quaternion Neural Network Loss Surfaces	6

Bicomplex Polyholomorphic Bergman Spaces Associated with a Bicomplex Magnetic Laplacian on the Discus	6
On Some Quaternionic Generalized Slice Regular Functions	6
Monogenic Fractional Powers in $$\mathbb {H}$$	5
Separable Cowreaths Over Clifford Algebras	5
An Extension of Slice Regular Functions in Terms of Fiber Bundle Theory	5
Group-Algebraic Characterization of Spin Particles: Semi-Simplicity, $$\mathbf {\mathbf {SO}(2N)}$$ Structure and Iwasawa Decomposition	5
Fractional Powers of the Quaternionic d-Bar Derivative	5
The Möbius Addition and Generalized Laplace–Beltrami Operator in Octonionic Space	4
Projective Points Over Matrices and Their Separability Properties	4
Some $$\mathbb {H}$$-Banach Modules and Fiber Bundles	4
Free Probability Theory over the Scaled Hyperbolic Numbers	4
Multilevel Declassification Method for Geographic Vector Field Data: A Geometric Algebra Approach	4
Computational Aspects of Geometric Algebra Products of Two Homogeneous Multivectors	4
Beyond the 10-fold Way: 13 Associative $$ {\mathbb Z}_2\times {\mathbb Z}_2$$-Graded Superdivision Algebras	4
Quaternionic Approach of Slant Ruled Surfaces	3
The $$\mathcal {L_C}$$-Structure-Preserving Algorithms of Quaternion $$LDL^H$$ Decomposition and Cholesky Decomposition	3
On Lie Groups Preserving Subspaces of Degenerate Clifford Algebras	3
The Scattering Algebra of Physical Space: Squared Massive Constructive Amplitudes	3
Geometric Algebra Speaks Quantum Esperanto	3
Heron’s Formula in Higher Dimensions	3
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces	3
On Second Order Elliptic Systems of Partial Differential Equations in Clifford Analysis	3
Bicomplex Weighted Bergman Spaces and Composition Operators	3
Quadratic Motion Polynomials with Irregular Factorizations	3
Boundedness of Multiparameter Forelli–Rudin Type Operators on Product $$L^p$$ Spaces over Tubular Domains	3
Hyperbolic Spinor Representations of Non-Null Framed Curves	3
On the Bundle of Clifford Algebras Over the Space of Quadratic Forms	3
Quaternion Convolutional Neural Networks: Current Advances and Future Directions	3
Least-Squares Solutions of Generalized Sylvester-Type Quaternion Matrix Equations	3
Integral Formulas and Teodorescu Transform for Generalized Partial-Slice Monogenic Functions	3
Dirac Operators on Conformal Manifolds	3
The Plemelj-Sokhotski Formulas Associated to the k-Cauchy-Fueter Operator	2
Linear Canonical Space-Time Transform and Convolution Theorems	2
Determinant, Characteristic Polynomial, and Inverse in Commutative Analogues of Clifford Algebras	2
In Memoriam of Yuri M. Grigor’ev: An Overview of his Research	2
Extensions of Jacobson’s Lemma and Cline’s formula in the Quaternionic Setting	2
(Anti) de Sitter Geometry, Complex Conformal Gravity-Maxwell Theory from a Cl(4, C) Gauge Theory of Gravity and Grand Unification	2
Right-Covariant Differential Calculus on Hopf Superalgebra $${{\mathbb {F}}}({\mathbb {C}}_q^{2\|1})$$	2
Bicomplex Neural Networks with Hypergeometric Activation Functions	2
Binary Encoded Recursive Generation of Quantum Space-Times	2
Lorentz Invariance of the Multidimensional Dirac–Hestenes Equation	2
A Real Method for Solving Octonion Matrix Equation $$AXB=C$$ Based on Semi-tensor Product of Matrices	2
Series Representation of Solutions of Polynomial Dirac Equations	2
Extensions and Crossed Modules of $$\varvec{n}$$-Lie–Rinehart Algebras	2
Special Affine Fourier Transform for Space-Time Algebra Signals in Detail	2
Models of CR Manifolds and Their Symmetry Algebras	2
The Beurling Theorem for the Two-Sided Quaternionic Dunkl Transform	2
Conics, Their Pencils and Intersections in Geometric Algebra	2
Cauchy theorems for solutions to polynomial Dirac equations with $$\alpha $$-weight in superspace	2
Uncertainty Principles Associated with the Multi-dimensional Quaternionic Offset Linear Canonical Transform	2

Generalized Degenerate Clifford and Lipschitz Groups in Geometric Algebras	2
Bedrosian Identities and Quaternion Hilbert Transforms: Advancing Color Image Pattern Recognition through Analytic Signal Processing	2
A New Way to Construct the Riemann Curvature Tensor Using Geometric Algebra and Division Algebraic Structure	2
Scaled-Hyperbolic Clifford Algebras	2
A Generalized Eigenvector–Eigenvalue Identity from the Viewpoint of Exterior Algebra	2
On Monogenic Functions and the Dirac Complex of Two Vector Variables	2
General Right-Sided Orthogonal 2D-Planes Split Quaternionic Wave-Packet Transform	2
A New Type of Quaternionic Regularity	2
Some Properties and the Teodorescu Transform in Higher Spin Clifford Analysis	2
Construction of an Infinite-Dimensional Family of Exact Solutions of a Three-Dimensional Biharmonic Equation by the Hypercomplex Method	2
Construction of Special Conics in Pencils of Conics Using Geometric Algebra for Conics	2
Recent Advances for Meson Algebras and their Lipschitz Monoids	2