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 2021-11-01 to 2025-11-01.)

Article	Citations
Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform	40
On Complex Kinematics and Relativity	31
Some Estimates for the Cauchy Transform in Higher Dimensions	16
Biquaternionic Treatment of Inhomogeneous Time-Harmonic Maxwell’s Equations Over Unbounded Domains	16
Introducing Multidimensional Dirac–Hestenes Equation	13
Integral Formulas for Slice Cauchy–Riemann Operator and Applications	12
The Bessel–Clifford Function Associated to the Cayley–Laplace Operator	10
Bicomplex Version of Lebesgue’s Dominated Convergence Theorem and Hyperbolic Invariant Measure	10
Supersymmetric Schur Q-functions and Super BKP Hierarchy	10
Zeon and Idem-Clifford Formulations of Hypergraph Problems	9
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras	9
Quaternionic Generalized Norm Retrieval in Quaternion Euclidean Spaces	9
Geometric Invariant Decomposition of $$\text {SU}(\textbf{3})$$	8
Short Time Quaternion Quadratic Phase Fourier Transform and Its Uncertainty Principles	8
Exploiting Degeneracy in Projective Geometric Algebra	8
Fueter’s Theorem for One Class of Pseudoanalytic Functions	7
Carleson Measures for Slice Regular Hardy and Bergman Spaces in Quaternions	7
A Multiplication Technique for the Factorization of Bivariate Quaternionic Polynomials	7
Formalizing Geometric Algebra in Lean	6
Bergman Operators on Clifford Monogenic Bergman Spaces	6
Outer and Eigen: Tangent Concepts	6
Exploring Quaternion Neural Network Loss Surfaces	6
Repeated Cayley–Dickson Processes and Subalgebras of Dimension 8	6
The Explicit Twisted Group Algebra Structure of the Cayley–Dickson Algebra	6
Group-Algebraic Characterization of Spin Particles: Semi-Simplicity, $$\mathbf {\mathbf {SO}(2N)}$$ Structure and Iwasawa Decomposition	5

Separable Cowreaths Over Clifford Algebras	5
Monogenic Fractional Powers in $$\mathbb {H}$$	5
Fractional Powers of the Quaternionic d-Bar Derivative	5
Beyond the 10-fold Way: 13 Associative $$ {\mathbb Z}_2\times {\mathbb Z}_2$$-Graded Superdivision Algebras	5
Geometric Product of Two Oriented Points in Conformal Geometric Algebra	5
The Möbius Addition and Generalized Laplace–Beltrami Operator in Octonionic Space	5
On Some Quaternionic Generalized Slice Regular Functions	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
Multilevel Declassification Method for Geographic Vector Field Data: A Geometric Algebra Approach	4
Bicomplex Weighted Bergman Spaces and Composition Operators	4
On the Bundle of Clifford Algebras Over the Space of Quadratic Forms	4
Computational Aspects of Geometric Algebra Products of Two Homogeneous Multivectors	4
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces	4
The $$\mathcal {L_C}$$-Structure-Preserving Algorithms of Quaternion $$LDL^H$$ Decomposition and Cholesky Decomposition	4
Some $$\mathbb {H}$$-Banach Modules and Fiber Bundles	4
Quaternionic Approach of Slant Ruled Surfaces	4
Integral Formulas and Teodorescu Transform for Generalized Partial-Slice Monogenic Functions	3
Heron’s Formula in Higher Dimensions	3
Binary Encoded Recursive Generation of Quantum Space-Times	3
Lyapunov Stability: A Geometric Algebra Approach	3
Construction of an Infinite-Dimensional Family of Exact Solutions of a Three-Dimensional Biharmonic Equation by the Hypercomplex Method	3
Quaternion Convolutional Neural Networks: Current Advances and Future Directions	3
On Second Order Elliptic Systems of Partial Differential Equations in Clifford Analysis	3
Cauchy theorems for solutions to polynomial Dirac equations with $$\alpha $$-weight in superspace	3
Twistor Operators in Symplectic Geometry	3
Boundedness of Multiparameter Forelli–Rudin Type Operators on Product $$L^p$$ Spaces over Tubular Domains	3
Isomorphisms of Partial Differential Equations in Clifford Analysis	3
Geometric Algebra Speaks Quantum Esperanto	3
Least-Squares Solutions of Generalized Sylvester-Type Quaternion Matrix Equations	3
Exotic Instantons in Eight Dimensions	3
Bicomplex Neural Networks with Hypergeometric Activation Functions	2
In Memoriam of Yuri M. Grigor’ev: An Overview of his Research	2
Monogenic Cauchy Implies Holomorphic Bochner–Martinelli	2
On Monogenic Functions and the Dirac Complex of Two Vector Variables	2
Series Representation of Solutions of Polynomial Dirac Equations	2
Models of CR Manifolds and Their Symmetry Algebras	2
Recent Advances for Meson Algebras and their Lipschitz Monoids	2
The Beurling Theorem for the Two-Sided Quaternionic Dunkl Transform	2
Cameras Seeing Cameras Geometry	2
A New Type of Quaternionic Regularity	2
Determinant, Characteristic Polynomial, and Inverse in Commutative Analogues of Clifford Algebras	2
Scaled-Hyperbolic Clifford Algebras	2
Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States	2
A Generalized Eigenvector–Eigenvalue Identity from the Viewpoint of Exterior Algebra	2
Linear Canonical Space-Time Transform and Convolution Theorems	2
Spinorial Representation of Surfaces in Lorentzian Homogeneous Spaces of Dimension $$\varvec{3}$$	2
Multi-modal Medical Image Fusion Based on Geometric Algebra Discrete Cosine Transform	2
General Right-Sided Orthogonal 2D-Planes Split Quaternionic Wave-Packet Transform	2

Uncertainty Principles Associated with the Multi-dimensional Quaternionic Offset Linear Canonical Transform	2
Right-Covariant Differential Calculus on Hopf Superalgebra $${{\mathbb {F}}}({\mathbb {C}}_q^{2\|1})$$	2
The Plemelj-Sokhotski Formulas Associated to the k-Cauchy-Fueter Operator	2
Special Affine Fourier Transform for Space-Time Algebra Signals in Detail	2
M, The Power Definition in Geometric Algebra that Unveils the Shortcomings of the Nonsinusoidal Apparent Power S	2
A Real Method for Solving Octonion Matrix Equation $$AXB=C$$ Based on Semi-tensor Product of Matrices	2
Extensions and Crossed Modules of $$\varvec{n}$$-Lie–Rinehart Algebras	2
A New Way to Construct the Riemann Curvature Tensor Using Geometric Algebra and Division Algebraic Structure	2
Generalized Degenerate Clifford and Lipschitz Groups in Geometric Algebras	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
On Monogenic Reproducing Kernel Hilbert Spaces of the Paley–Wiener Type	1
New Versions of the Plemelj–Sochocki Formula in Clifford Analysis	1
Hypercomplex Representation of Finite-Dimensional Unital Archimedean f-Algebras	1
More About Bicomplex Möbius Transformations: Geometric, Algebraic and Analitical Aspects	1
A Geometric Algebra-Based Machine Learning Method for Typhoon Intensity Forecasting	1
Adaptive Fourier Decomposition of Slice Regular Functions	1
Real Spinors and Real Dirac Equation	1
Quaternion Quantum Neural Network for Classification	1
The Tangential k-Cauchy–Fueter Operator on Right-Type Groups and Its Bochner–Martinelli Type Formula	1
Algorithms for Conic Fitting Through Given Proper and Improper Waypoints in Geometric Algebra for Conics	1
On Some Lie Groups in Degenerate Clifford Geometric Algebras	1
On the Structure of Ternary Clifford Algebras and Their Irreducible Representations	1
Self-Dual Maxwell Fields from Clifford Analysis	1
A Note on Centralizers and Twisted Centralizers in Clifford Algebras	1
A Geometric Algebra Approach to Invariance Control in Sliding Regimes for Switched Systems	1
Clifford Algebras, Quantum Neural Networks and Generalized Quantum Fourier Transform	1
Correction to: On Specific Conic Intersections in GAC and Symbolic Calculations in GAALOPWeb	1
The Sum and the Product of Two Quadratic Matrices: Regular Cases	1
Properties of Clifford-Legendre Polynomials	1
Vanishing Vector Rotation in Quadric Geometric Algebra	1
Quaternionic Subspace Gabor Frames and Their Duals	1
New Applications of Clifford’s Geometric Algebra	1
On the Mean Ergodic Theorem in Bicomplex Banach Modules	1
Clifford Algebraic Approach to the De Donder–Weyl Hamiltonian Theory	1
A Multi-dimensional Unified Concavity and Convexity Detection Method Based on Geometric Algebra	1
Scaled Global Operators and Fueter Variables on Non-zero Scaled Hypercomplex Numbers	1
On the Construction of Beltrami Fields and Associated Boundary Value Problems	1
Basis-Free Formulas for Characteristic Polynomial Coefficients in Geometric Algebras	1
Harmonic Analysis on Exceptional Domain $$E_{6(-14)}/U(1)Spin(10)$$	1
Spinorial Representation of Submanifolds in a Product of Space Forms	1
Clifford-Valued Stockwell Transform and the Associated Uncertainty Principles	1
The Orthogonal Branching Problem for Symplectic Monogenics	1
Symmetric Functions and 3D Fermion Representation of $$\pmb {W_{1+\infty }}$$ Algebra	1
Functional Calculus for Dual Quaternions	1
Solving and Algorithm to System of Quaternion Sylvester-Type Matrix Equations with $$*$$-Hermicity	1
The Radon–Penrose Transformation for Quaternionic k-Regular Functions on Right-Type Groups	1
MiTopos	1
Machine Learning Discovers Invariants of Braids and Flat Braids	1
Branching of Weil Representation for $$G_2$$	1
The Study Variety of Conformal Kinematics	1
Siegel-Satake Cross and Associated Clifford Algebras	1
The General Solution to a System of Linear Coupled Quaternion Matrix Equations with an Application	1
Brownian Motion, Martingales and Itô Formula in Clifford Analysis	1