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 2021-09-01 to 2025-09-01.)

Article	Citations
Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform	40
On Complex Kinematics and Relativity	29
Biquaternionic Treatment of Inhomogeneous Time-Harmonic Maxwell’s Equations Over Unbounded Domains	15
Some Estimates for the Cauchy Transform in Higher Dimensions	14
Integral Formulas for Slice Cauchy–Riemann Operator and Applications	13
Introducing Multidimensional Dirac–Hestenes Equation	12
Quaternionic Generalized Norm Retrieval in Quaternion Euclidean Spaces	10
Bicomplex Version of Lebesgue’s Dominated Convergence Theorem and Hyperbolic Invariant Measure	10
The Bessel–Clifford Function Associated to the Cayley–Laplace Operator	10
Supersymmetric Schur Q-functions and Super BKP Hierarchy	9
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras	9
Short Time Quaternion Quadratic Phase Fourier Transform and Its Uncertainty Principles	8
Zeon and Idem-Clifford Formulations of Hypergraph Problems	8
Fueter’s Theorem for One Class of Pseudoanalytic Functions	7
Geometric Invariant Decomposition of $$\text {SU}(\textbf{3})$$	7
A Multiplication Technique for the Factorization of Bivariate Quaternionic Polynomials	7
Exploiting Degeneracy in Projective Geometric Algebra	7
Carleson Measures for Slice Regular Hardy and Bergman Spaces in Quaternions	6
Repeated Cayley–Dickson Processes and Subalgebras of Dimension 8	6
Bergman Operators on Clifford Monogenic Bergman Spaces	6
Exploring Quaternion Neural Network Loss Surfaces	6
Formalizing Geometric Algebra in Lean	6
Geometric Product of Two Oriented Points in Conformal Geometric Algebra	6
The Explicit Twisted Group Algebra Structure of the Cayley–Dickson Algebra	6
Separable Cowreaths Over Clifford Algebras	5

On Some Quaternionic Generalized Slice Regular Functions	5
An Extension of Slice Regular Functions in Terms of Fiber Bundle Theory	5
Computational Aspects of Geometric Algebra Products of Two Homogeneous Multivectors	5
Deep Learning Gauss–Manin Connections	5
Group-Algebraic Characterization of Spin Particles: Semi-Simplicity, $$\mathbf {\mathbf {SO}(2N)}$$ Structure and Iwasawa Decomposition	5
Projective Points Over Matrices and Their Separability Properties	5
Beyond the 10-fold Way: 13 Associative $$ {\mathbb Z}_2\times {\mathbb Z}_2$$-Graded Superdivision Algebras	5
Fractional Powers of the Quaternionic d-Bar Derivative	5
The Möbius Addition and Generalized Laplace–Beltrami Operator in Octonionic Space	5
Some $$\mathbb {H}$$-Banach Modules and Fiber Bundles	4
On the Bundle of Clifford Algebras Over the Space of Quadratic Forms	4
On Second Order Elliptic Systems of Partial Differential Equations in Clifford Analysis	4
Geometric Algebra Speaks Quantum Esperanto	4
Bicomplex Weighted Bergman Spaces and Composition Operators	4
The $$\mathcal {L_C}$$-Structure-Preserving Algorithms of Quaternion $$LDL^H$$ Decomposition and Cholesky Decomposition	4
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces	4
Heron’s Formula in Higher Dimensions	4
Multilevel Declassification Method for Geographic Vector Field Data: A Geometric Algebra Approach	4
Quaternionic Approach of Slant Ruled Surfaces	4
Isomorphisms of Partial Differential Equations in Clifford Analysis	4
Quaternion Convolutional Neural Networks: Current Advances and Future Directions	4
A Real Method for Solving Quaternion Matrix Equation $$\mathbf{X}-\mathbf{A}{\hat{\mathbf{X}}}{} \mathbf{B} = \mathbf{C}$$ Based on Semi-Tensor Product of Matrices	3
Exotic Instantons in Eight Dimensions	3
Bicomplex Neural Networks with Hypergeometric Activation Functions	3
The Plemelj-Sokhotski Formulas Associated to the k-Cauchy-Fueter Operator	3
Lyapunov Stability: A Geometric Algebra Approach	3
Boundedness of Multiparameter Forelli–Rudin Type Operators on Product $$L^p$$ Spaces over Tubular Domains	3
Construction of an Infinite-Dimensional Family of Exact Solutions of a Three-Dimensional Biharmonic Equation by the Hypercomplex Method	3
A New Type of Quaternionic Regularity	3
Right-Covariant Differential Calculus on Hopf Superalgebra $${{\mathbb {F}}}({\mathbb {C}}_q^{2\|1})$$	3
Correction to: Blade Products and Angles Between Subspaces	3
Least-Squares Solutions of Generalized Sylvester-Type Quaternion Matrix Equations	3
Twistor Operators in Symplectic Geometry	3
Uncertainty Principles Associated with the Multi-dimensional Quaternionic Offset Linear Canonical Transform	3
Conics, Their Pencils and Intersections in Geometric Algebra	3
Binary Encoded Recursive Generation of Quantum Space-Times	3
Determinant, Characteristic Polynomial, and Inverse in Commutative Analogues of Clifford Algebras	2
Recent Advances for Meson Algebras and their Lipschitz Monoids	2
Generalized Degenerate Clifford and Lipschitz Groups in Geometric Algebras	2
Cameras Seeing Cameras Geometry	2
Siegel-Satake Cross and Associated Clifford Algebras	2
Models of CR Manifolds and Their Symmetry Algebras	2
On the Structure of Ternary Clifford Algebras and Their Irreducible Representations	2
Scaled-Hyperbolic Clifford Algebras	2
Series Representation of Solutions of Polynomial Dirac Equations	2
In Memoriam of Yuri M. Grigor’ev: An Overview of his Research	2
Multi-modal Medical Image Fusion Based on Geometric Algebra Discrete Cosine Transform	2
(Anti) de Sitter Geometry, Complex Conformal Gravity-Maxwell Theory from a Cl(4, C) Gauge Theory of Gravity and Grand Unification	2
General Right-Sided Orthogonal 2D-Planes Split Quaternionic Wave-Packet Transform	2
Linear Canonical Space-Time Transform and Convolution Theorems	2

Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States	2
Monogenic Cauchy Implies Holomorphic Bochner–Martinelli	2
A Real Method for Solving Octonion Matrix Equation $$AXB=C$$ Based on Semi-tensor Product of Matrices	2
Special Affine Fourier Transform for Space-Time Algebra Signals in Detail	2
On Monogenic Functions and the Dirac Complex of Two Vector Variables	2
Leibniz Bialgebras, Classical Yang–Baxter Equations and Dynamical Systems	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 Some Lie Groups in Degenerate Clifford Geometric Algebras	2
M, The Power Definition in Geometric Algebra that Unveils the Shortcomings of the Nonsinusoidal Apparent Power S	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
Brownian Motion, Martingales and Itô Formula in Clifford Analysis	1
Harmonic Analysis on Exceptional Domain $$E_{6(-14)}/U(1)Spin(10)$$	1
Clifford Algebra-Valued Segal–Bargmann Transform and Taylor Isomorphism	1
Clifford-Valued Stockwell Transform and the Associated Uncertainty Principles	1
The Study Variety of Conformal Kinematics	1
Basis-Free Formulas for Characteristic Polynomial Coefficients in Geometric Algebras	1
The General Solution to a System of Linear Coupled Quaternion Matrix Equations with an Application	1
A Multi-dimensional Unified Concavity and Convexity Detection Method Based on Geometric Algebra	1
Basis-free Solution to Sylvester Equation in Clifford Algebra of Arbitrary Dimension	1
MiTopos	1
Symmetric Functions and 3D Fermion Representation of $$\pmb {W_{1+\infty }}$$ Algebra	1
On a Certain Boundary Value Problem in a Plane Excluding Axes	1
Hypercomplex Representation of Finite-Dimensional Unital Archimedean f-Algebras	1
On Monogenic Reproducing Kernel Hilbert Spaces of the Paley–Wiener Type	1
A Geometric Algebra-Based Machine Learning Method for Typhoon Intensity Forecasting	1
A Geometric Algebra Approach to Invariance Control in Sliding Regimes for Switched Systems	1
Correction to: On Specific Conic Intersections in GAC and Symbolic Calculations in GAALOPWeb	1
More About Bicomplex Möbius Transformations: Geometric, Algebraic and Analitical Aspects	1
Quaternion Quantum Neural Network for Classification	1
Self-Dual Maxwell Fields from Clifford Analysis	1
Solving and Algorithm to System of Quaternion Sylvester-Type Matrix Equations with $$*$$-Hermicity	1
Adaptive Fourier Decomposition of Slice Regular Functions	1
The Tangential k-Cauchy–Fueter Operator on Right-Type Groups and Its Bochner–Martinelli Type Formula	1
Machine Learning Discovers Invariants of Braids and Flat Braids	1
On the Mean Ergodic Theorem in Bicomplex Banach Modules	1
Clifford Algebraic Approach to the De Donder–Weyl Hamiltonian Theory	1
Branching of Weil Representation for $$G_2$$	1
On Optimal Inequalities for Anti-invariant Riemannian Submersions from Conformal Sasakian Space Forms	1
A Note on Centralizers and Twisted Centralizers in Clifford Algebras	1
Functional Calculus for Dual Quaternions	1
Hayman Theorem in $${\mathcal {R}}_+^{n+1}$$ with the Clifford Analysis Setting	1
On the Construction of Beltrami Fields and Associated Boundary Value Problems	1
Spinorial Representation of Submanifolds in a Product of Space Forms	1
Real Spinors and Real Dirac Equation	1
Adinkras: Graphs of Clifford Algebra Representations, Supersymmetry, and Codes	1
Quaternionic Subspace Gabor Frames and Their Duals	1
New Applications of Clifford’s Geometric Algebra	1
New Versions of the Plemelj–Sochocki Formula in Clifford Analysis	1
The Orthogonal Branching Problem for Symplectic Monogenics	1
Algorithms for Conic Fitting Through Given Proper and Improper Waypoints in Geometric Algebra for Conics	1
Scaled Global Operators and Fueter Variables on Non-zero Scaled Hypercomplex Numbers	1
The Radon–Penrose Transformation for Quaternionic k-Regular Functions on Right-Type Groups	1
Vanishing Vector Rotation in Quadric Geometric Algebra	1
Higher Order Geometric Algebras and Their Implementations Using Bott Periodicity	1
The Sum and the Product of Two Quadratic Matrices: Regular Cases	1
Properties of Clifford-Legendre Polynomials	1
Clifford Algebras, Quantum Neural Networks and Generalized Quantum Fourier Transform	1