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 2021-04-01 to 2025-04-01.)

Article	Citations
STP Method for Solving the Least Squares Special Solutions of Quaternion Matrix Equations	35
Electrostatic Fields in Some Special Inhomogeneous Media and New Generalizations of the Cauchy–Riemann System	26
Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform	20
On Complex Kinematics and Relativity	13
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces	13
The Penrose Transform and the Exactness of the Tangential $$\pmb {k}$$-Cauchy–Fueter Complex on the Heisenberg Group	11
Correction to: Conformal Mappings Revisited in the Octonions and Clifford Algebras of Arbitrary Dimension	11
Vanishing Vector Rotation in Quadric Geometric Algebra	10
Some Estimates Over Spacelike Spin Hypersurfaces of Lorentzian Manifold	10
On Constant-Trace Representations of Degenerate Clifford Algebras	9
Basis-Free Formulas for Characteristic Polynomial Coefficients in Geometric Algebras	9
On Jordan–Clifford Algebras, Three Fermion Generations with Higgs Fields and a $${{\mathrm {SU}(3) \times \mathrm {SU}(2)_L \times \mathrm {SU}(2)_R \times \mathrm {U}(1)}}$$ Model	8
Clifford Algebraic Approach to the De Donder–Weyl Hamiltonian Theory	8
Solving and Algorithm to System of Quaternion Sylvester-Type Matrix Equations with $$*$$-Hermicity	8
MiTopos	7
Riemann Boundary Value Problems for Monogenic Functions on the Hyperplane	7
Biquaternionic Treatment of Inhomogeneous Time-Harmonic Maxwell’s Equations Over Unbounded Domains	7
Necessity of Tensorial Connections for Spinorial Systems	7
Two-sided Clifford-valued Linear Canonical Transform: Properties and Mustard Convolution	7
Isomorphisms of Partial Differential Equations in Clifford Analysis	6
Brownian Motion, Martingales and Itô Formula in Clifford Analysis	6
Rings with Centrally-Extended Higher $$*$$-Derivations	6
Some Estimates for the Cauchy Transform in Higher Dimensions	6
Quaternion Quantum Neural Network for Classification	5
Adaptive Fourier Decomposition of Slice Regular Functions	5

Integral Formulas for Slice Cauchy–Riemann Operator and Applications	5
Graded Symmetry Groups: Plane and Simple	5
Quaternionic Approach of Slant Ruled Surfaces	5
On the Bundle of Clifford Algebras Over the Space of Quadratic Forms	5
Multivector Contractions Revisited, Part I	5
Dynamical Systems of Operators Induced by Scaled Hypercomplex Rings	5
Cauchy Integral Formula on the Distinguished Boundary with Values in Complex Universal Clifford Algebra	4
A Classical System of Matrix Equations Over the Split Quaternion Algebra	4
Bicomplex Weighted Bergman Spaces and Composition Operators	4
Spinorial Representation of Surfaces in Lorentzian Homogeneous Spaces of Dimension $$\varvec{3}$$	4
New Applications of Clifford’s Geometric Algebra	4
Fourier-Poisson Transforms Associated with the Principal Series Representations of Sp(1, n)	4
An Algorithm for the Factorization of Split Quaternion Polynomials	4
Some New Results for Function Theory in Hypercomplex Analysis with Parameters	4
The $$\mathcal {L_C}$$-Structure-Preserving Algorithms of Quaternion $$LDL^H$$ Decomposition and Cholesky Decomposition	4
Extensions and Crossed Modules of $$\varvec{n}$$-Lie–Rinehart Algebras	4
Biquaternion Extensions of Analytic Functions	4
Quaternion Convolutional Neural Networks: Current Advances and Future Directions	4
On Low-Dimensional Complex $$\omega $$-Lie Superalgebras	4
On the Problem of Choosing Subgroups of Clifford Algebras for Applications in Fundamental Physics	4
Symmetric Functions and 3D Fermion Representation of $$\pmb {W_{1+\infty }}$$ Algebra	4
Models of CR Manifolds and Their Symmetry Algebras	4
On Octonionic Submodules Generated by One Element	4
Multivector Contractions Revisited, Part II	4
On Structure of Inframonogenic Functions	3
Supersymmetric Schur Q-functions and Super BKP Hierarchy	3
Clifford-Valued Stockwell Transform and the Associated Uncertainty Principles	3
Convex Characteristics of Quaternionic Positive Definite Functions on Abelian Groups	3
MPCEP-$$*$$CEPMP-Solutions of Some Restricted Quaternion Matrix Equations	3
Energy–Momentum Complex in General Relativity and Gauge Theory	3
Adinkras: Graphs of Clifford Algebra Representations, Supersymmetry, and Codes	3
A New Approach to Slice Analysis Via Slice Topology	3
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras	3
Generalized Partial-Slice Monogenic Functions: A Synthesis of Two Function Theories	3
Clifford Algebras, Quantum Neural Networks and Generalized Quantum Fourier Transform	3
An Online Calculator for Quantum Computing Operations Based on Geometric Algebra	3
Zeon and Idem-Clifford Formulations of Hypergraph Problems	3
Bicomplex Version of Lebesgue’s Dominated Convergence Theorem and Hyperbolic Invariant Measure	3
A New Way to Construct the Riemann Curvature Tensor Using Geometric Algebra and Division Algebraic Structure	3
Short Time Quaternion Quadratic Phase Fourier Transform and Its Uncertainty Principles	3
A Geometric Algebra Approach to Invariance Control in Sliding Regimes for Switched Systems	3
S-Spectrum of Quaternionic Right Linear Bounded Operators	2
Branching of Weil Representation for $$G_2$$	2
More About Bicomplex Möbius Transformations: Geometric, Algebraic and Analitical Aspects	2
Series Representation of Solutions of Polynomial Dirac Equations	2
Concept of s-Numbers in Quaternionic Analysis and Schatten Classes	2
On Symmetries of Geometric Algebra Cl(3, 1) for Space-Time	2
Spectrally Simple Zeros of Zeon Polynomials	2
A Multiplication Technique for the Factorization of Bivariate Quaternionic Polynomials	2
On Some Lie Groups in Degenerate Clifford Geometric Algebras	2

On Inner Automorphisms Preserving Fixed Subspaces of Clifford Algebras	2
Heron’s Formula in Higher Dimensions	2
A Real Method for Solving Octonion Matrix Equation $$AXB=C$$ Based on Semi-tensor Product of Matrices	2
Spinorial Representation of Submanifolds in a Product of Space Forms	2
Generalized Derivations and Rota-Baxter Operators of $$\varvec{n}$$-ary Hom-Nambu Superalgebras	2
Generalized Derivations and Centroids of Ternary Jordan Superalgebras	2
A Use of Elliptic Complex Numbers in Newtonian Gravity	2
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	2
A Generalized Eigenvector–Eigenvalue Identity from the Viewpoint of Exterior Algebra	2
The Bessel–Clifford Function Associated to the Cayley–Laplace Operator	2
The Clifford Algebra of the Density Matrix: An Elementary Approach	2
Geometric Algebra Speaks Quantum Esperanto	2
Eigenvalues of Quaternion Tensors: Properties, Algorithms and Applications	2
New Versions of the Plemelj–Sochocki Formula in Clifford Analysis	2
A Variation on Uncertainty Principles for Quaternion Linear Canonical Transform	2
On Interactions of Quaternionic and Complex Structures of Linear Spaces	2
Fueter’s Theorem for One Class of Pseudoanalytic Functions	1
Machine Learning Clifford Invariants of ADE Coxeter Elements	1
Basis-free Solution to Sylvester Equation in Clifford Algebra of Arbitrary Dimension	1
General Aspects of Jackson Calculus in Clifford Analysis	1
The Study Variety of Conformal Kinematics	1
Siegel-Satake Cross and Associated Clifford Algebras	1
Monogenic Cauchy Implies Holomorphic Bochner–Martinelli	1
On the Jackson–Stechkin Theorems for the Best Approximations of Functions in Clifford Algebras	1
Binary Encoded Recursive Generation of Quantum Space-Times	1
Weighted Minimization Problems for Quaternion Matrices	1
The Wigner Little Group for Photons is a Projective Subalgebra	1
Linear Canonical Wavelet Transform in Quaternion Domains	1
On the Mean Ergodic Theorem in Bicomplex Banach Modules	1
Investigation of Generalized $$\mathcal {Z}$$- Recurrent Spacetimes and $$f(\mathcal {R},T)$$-Gravity	1
Weyl and Majorana Spinors as Pure Goldstone Bosons	1
Geometric Invariant Decomposition of $$\text {SU}(\textbf{3})$$	1
Representations of Quaternion W-MPCEP, W-CEPMP and W-MPCEPMP Inverses	1
Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States	1
An Introduction to Hyperholomorphic Spectral Theories and Fractional Powers of Vector Operators	1
Least-Squares Solutions of Generalized Sylvester-Type Quaternion Matrix Equations	1
Third Cohomology Group and $$\alpha $$-Crossed Extensions of Hom–Lie Algebras	1
Lyapunov Stability: A Geometric Algebra Approach	1
A Version of Schwarz Lemma Associated to the k-Cauchy–Fueter Operator	1
The Supergeometric Algebra	1
Harmonic Analysis on Exceptional Domain $$E_{6(-14)}/U(1)Spin(10)$$	1
Right-Covariant Differential Calculus on Hopf Superalgebra $${{\mathbb {F}}}({\mathbb {C}}_q^{2\|1})$$	1
Correction to: Differential Topological Aspects in Octonionic Monogenic Function Theory	1
Multicomplex Ideals, Modules and Hilbert Spaces	1
Zeon Matrix Inverses and the Zeon Combinatorial Laplacian	1
Operators and Field Equations in the Electroweak Sector of Particle Physics	1
Hayman Theorem in $${\mathcal {R}}_+^{n+1}$$ with the Clifford Analysis Setting	1
Foundations for Strip Adjustment of Airborne Laserscanning Data with Conformal Geometric Algebra	1
On the Structure of Ternary Clifford Algebras and Their Irreducible Representations	1
Fractional Elliptic Operators with Multiple Poles on Riemannian Manifold with Clifford Bundle	1
A Relationship Between Spin and Geometry	1
The General Solution to a System of Linear Coupled Quaternion Matrix Equations with an Application	1
The Sum and the Product of Two Quadratic Matrices: Regular Cases	1
Scaled Global Operators and Fueter Variables on Non-zero Scaled Hypercomplex Numbers	1
M, The Power Definition in Geometric Algebra that Unveils the Shortcomings of the Nonsinusoidal Apparent Power S	1
Quaternionic Linear Canonical Wave Packet Transform	1
Correction to: Blade Products and Angles Between Subspaces	1
On Monogenic Reproducing Kernel Hilbert Spaces of the Paley–Wiener Type	1
Correction to: Operators and Field Equations in the Electroweak Sector of Particle Physics	1
Generalizing Classical Clifford Algebras, Graded Clifford Algebras and their Associated Geometry	1
Repeated Cayley–Dickson Processes and Subalgebras of Dimension 8	1
Representations of Extended Carroll Group	1
Decomposition for a Quaternion Tensor Triplet with Applications	1
The Atiyah-Singer Index Theorem for a Family of Fractional Dirac Operators on Spin Geometry	1
A Note on Centralizers and Twisted Centralizers in Clifford Algebras	1