OOIR: Observatory of International Research

Papers

(The median citation count of Advances in Applied Clifford Algebras is 1. 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 2022-08-01 to 2026-08-01.)

Article	Citations
Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform	17
Biquaternionic Treatment of Inhomogeneous Time-Harmonic Maxwell’s Equations Over Unbounded Domains	15
Some Estimates for the Cauchy Transform in Higher Dimensions	13
Algebraic Properties of the Primitive Idempotent in Clifford Analysis	12
Introducing Multidimensional Dirac–Hestenes Equation	12
Zeon and Idem-Clifford Formulations of Hypergraph Problems	11
Integral Formulas for Slice Cauchy–Riemann Operator and Applications	11
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras	11
The Bessel–Clifford Function Associated to the Cayley–Laplace Operator	11
Supersymmetric Schur Q-functions and Super BKP Hierarchy	10
Quaternionic Generalized Norm Retrieval in Quaternion Euclidean Spaces	10
Exploiting Degeneracy in Projective Geometric Algebra	9
Short Time Quaternion Quadratic Phase Fourier Transform and Its Uncertainty Principles	9
Fueter’s Theorem for One Class of Pseudoanalytic Functions	8
Geometric Invariant Decomposition of $$\text {SU}(\textbf{3})$$	8
Flux Quantization in Type II Superconductors	8
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
Conformal Geometric Algebra and Galilean Spacetime	7
Bergman Operators on Clifford Monogenic Bergman Spaces	7
Exploring Quaternion Neural Network Loss Surfaces	6
The Explicit Twisted Group Algebra Structure of the Cayley–Dickson Algebra	6
Bicomplex Polyholomorphic Bergman Spaces Associated with a Bicomplex Magnetic Laplacian on the Discus	6
Outer and Eigen: Tangent Concepts	6

Free Probability Theory over the Scaled Hyperbolic Numbers	5
The Cost of the Characteristic Multivector: Exact 3D Baseline and nD Complexity	5
Monogenic Fractional Powers in $$\mathbb {H}$$	5
Separable Cowreaths Over Clifford Algebras	5
Beyond the 10-fold Way: 13 Associative $$ {\mathbb Z}_2\times {\mathbb Z}_2$$-Graded Superdivision Algebras	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
Multilevel Declassification Method for Geographic Vector Field Data: A Geometric Algebra Approach	4
Some $$\mathbb {H}$$-Banach Modules and Fiber Bundles	4
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces	3
On Lie Groups Preserving Subspaces of Degenerate Clifford Algebras	3
Bicomplex Weighted Bergman Spaces and Composition Operators	3
Integral Formulas and Teodorescu Transform for Generalized Partial-Slice Monogenic Functions	3
Least-Squares Solutions of Generalized Sylvester-Type Quaternion Matrix Equations	3
Right-Covariant Differential Calculus on Hopf Superalgebra $${{\mathbb {F}}}({\mathbb {C}}_q^{2\|1})$$	3
Heron’s Formula in Higher Dimensions	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
Geometric Algebra Speaks Quantum Esperanto	3
Dirac Operators on Conformal Manifolds	3
Quadratic Motion Polynomials with Irregular Factorizations	3
On the Bundle of Clifford Algebras Over the Space of Quadratic Forms	3
On Second Order Elliptic Systems of Partial Differential Equations in Clifford Analysis	3
Quaternion Convolutional Neural Networks: Current Advances and Future Directions	3
Construction of an Infinite-Dimensional Family of Exact Solutions of a Three-Dimensional Biharmonic Equation by the Hypercomplex Method	3
Boundedness of Multiparameter Forelli–Rudin Type Operators on Product $$L^p$$ Spaces over Tubular Domains	3
Binary Encoded Recursive Generation of Quantum Space-Times	3
A New Type of Quaternionic Regularity	2
The Plemelj-Sokhotski Formulas Associated to the k-Cauchy-Fueter Operator	2
Some Properties and the Teodorescu Transform in Higher Spin Clifford Analysis	2
Bicomplex Neural Networks with Hypergeometric Activation Functions	2
Hermitian Geometry of Complex Multivectors, Determinants and Orientations	2
Special Affine Fourier Transform for Space-Time Algebra Signals in Detail	2
Siegel-Satake Cross and Associated Clifford Algebras	2
Series Representation of Solutions of Polynomial Dirac Equations	2
Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States	2
Determinant, Characteristic Polynomial, and Inverse in Commutative Analogues of Clifford Algebras	2
The Beurling Theorem for the Two-Sided Quaternionic Dunkl Transform	2
Generalized Degenerate Clifford and Lipschitz Groups in Geometric Algebras	2
Conics, Their Pencils and Intersections in Geometric Algebra	2
Cauchy theorems for solutions to polynomial Dirac equations with $$\alpha $$-weight in superspace	2
(Anti) de Sitter Geometry, Complex Conformal Gravity-Maxwell Theory from a Cl(4, C) Gauge Theory of Gravity and Grand Unification	2
On Monogenic Functions and the Dirac Complex of Two Vector Variables	2
In Memoriam of Yuri M. Grigor’ev: An Overview of his Research	2
A New Way to Construct the Riemann Curvature Tensor Using Geometric Algebra and Division Algebraic Structure	2
Models of CR Manifolds and Their Symmetry Algebras	2
Bedrosian Identities and Quaternion Hilbert Transforms: Advancing Color Image Pattern Recognition through Analytic Signal Processing	2

Lorentz Invariance of the Multidimensional Dirac–Hestenes Equation	2
Extensions of Jacobson’s Lemma and Cline’s formula in the Quaternionic Setting	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
Uncertainty Principles Associated with the Multi-dimensional Quaternionic Offset Linear Canonical Transform	2
Recent Advances for Meson Algebras and their Lipschitz Monoids	2
On Some Lie Groups in Degenerate Clifford Geometric Algebras	2
A Real Method for Solving Octonion Matrix Equation $$AXB=C$$ Based on Semi-tensor Product of Matrices	2
A Generalized Eigenvector–Eigenvalue Identity from the Viewpoint of Exterior Algebra	2
Linear Canonical Space-Time Transform and Convolution Theorems	2
Scaled-Hyperbolic Clifford Algebras	2
Real Spinors and Real Dirac Equation	1
Basis-Free Formulas for Characteristic Polynomial Coefficients in Geometric Algebras	1
On the Mean Ergodic Theorem in Bicomplex Banach Modules	1
Monoids of Compatible Bilinear Forms in Relation to Lipschitz Monoids	1
Machine Learning Discovers Invariants of Braids and Flat Braids	1
The Radon–Penrose Transformation for Quaternionic k-Regular Functions on Right-Type Groups	1
The Borel–Pompeiu Formula Involving Proportional Fractional $$\psi $$-Cauchy–Riemann Operators	1
On a Certain Boundary Value Problem in a Plane Excluding Axes	1
Hayman Theorem in $${\mathcal {R}}_+^{n+1}$$ with the Clifford Analysis Setting	1
A Geometric Algebra-Based Machine Learning Method for Typhoon Intensity Forecasting	1
Spinorial Representation of Submanifolds in a Product of Space Forms	1
Complex Structure-Preserving Algorithm for LU Decomposition of Dual Quaternion Matrices and Its Application	1
Clifford Algebras, Quantum Neural Networks and Generalized Quantum Fourier Transform	1
A Geometric Algebra Approach to Invariance Control in Sliding Regimes for Switched Systems	1
On the Construction of Beltrami Fields and Associated Boundary Value Problems	1
Solving and Algorithm to System of Quaternion Sylvester-Type Matrix Equations with $$*$$-Hermicity	1
Quaternionic Subspace Gabor Frames and Their Duals	1
The General Solution to a System of Linear Coupled Quaternion Matrix Equations with an Application	1
Fourier Transform on Cayley–Dickson Algebras	1
Limiting Sobolev Inequalities for k-Cauchy–Fueter Complex	1
MiTopos	1
Machine Learning Clifford Invariants of ADE Coxeter Elements	1
A Note on Centralizers and Twisted Centralizers in Clifford Algebras	1
Harmonic Analysis on Exceptional Domain $$E_{6(-14)}/U(1)Spin(10)$$	1
Functional Calculus for Dual Quaternions	1
The Sum and the Product of Two Quadratic Matrices: Regular Cases	1
Riemann–Hilbert Problems for Biaxially Symmetric Null Solutions to Iterated Perturbed Dirac Equations in $$\mathbb {R}^{n}$$	1
More About Bicomplex Möbius Transformations: Geometric, Algebraic and Analitical Aspects	1
Hypercomplex Representation of Finite-Dimensional Unital Archimedean f-Algebras	1
Vanishing Vector Rotation in Quadric Geometric Algebra	1
Scaled Global Operators and Fueter Variables on Non-zero Scaled Hypercomplex Numbers	1
Algorithms for Conic Fitting Through Given Proper and Improper Waypoints in Geometric Algebra for Conics	1
A Multi-dimensional Unified Concavity and Convexity Detection Method Based on Geometric Algebra	1
Symmetric Functions and 3D Fermion Representation of $$\pmb {W_{1+\infty }}$$ Algebra	1
Adaptive Fourier Decomposition of Slice Regular Functions	1
The Double Dihedral Dunkl Total Angular Momentum Algebra	1
A New Complex Structure-Preserving Quaternion Implicit Double Shift QR Algorithm	1
On Monogenic Reproducing Kernel Hilbert Spaces of the Paley–Wiener Type	1
The Tangential k-Cauchy–Fueter Operator on Right-Type Groups and Its Bochner–Martinelli Type Formula	1
New Versions of the Plemelj–Sochocki Formula in Clifford Analysis	1
Quaternion Quantum Neural Network for Classification	1
Self-Dual Maxwell Fields from Clifford Analysis	1
Branching of Weil Representation for $$G_2$$	1