OOIR: Observatory of International Research

Papers

(The TQCC of Advances in Applied Clifford Algebras is 3. 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 2020-05-01 to 2024-05-01.)

Article	Citations
Algorithmically Solving the Tadpole Problem	27
Some Results for the Two-Sided Quaternionic Gabor Fourier Transform and Quaternionic Gabor Frame Operator	20
Geometric Algebra of Singular Ruled Surfaces	19
New Applications of Clifford’s Geometric Algebra	16
Generalized Derivations and Rota-Baxter Operators of $$\varvec{n}$$-ary Hom-Nambu Superalgebras	16
3-Hom-Lie Algebras Based on $$\sigma $$-Derivation and Involution	15
Heisenberg’s and Hardy’s Uncertainty Principles for Special Relativistic Space-Time Fourier Transformation	11
A Quaternion Matrix Equation with Two Different Restrictions	9
Weyl and Majorana Spinors as Pure Goldstone Bosons	9
Quaternion Fourier Transform and Generalized Lipschitz Classes	9
Linear Canonical Wavelet Transform in Quaternion Domains	9
Multi-modal Medical Image Fusion Based on Geometric Algebra Discrete Cosine Transform	8
The Sum and the Product of Two Quadratic Matrices: Regular Cases	7
Sedeonic Equations in Field Theory	7
MPCEP-$$*$$CEPMP-Solutions of Some Restricted Quaternion Matrix Equations	7
An Introduction to Hyperholomorphic Spectral Theories and Fractional Powers of Vector Operators	7
Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra	7
Classification of Left Octonionic Modules	6
Basis-free Solution to Sylvester Equation in Clifford Algebra of Arbitrary Dimension	6
On Structure of Inframonogenic Functions	6
Symmetric Functions and 3D Fermion Representation of $$\pmb {W_{1+\infty }}$$ Algebra	6
Fractional Elementary Bicomplex Functions in the Riemann–Liouville Sense	6
Investigation of Generalized $$\mathcal {Z}$$- Recurrent Spacetimes and $$f(\mathcal {R},T)$$-Gravity	6
Solvability of New Constrained Quaternion Matrix Approximation Problems Based on Core-EP Inverses	6
Decomposition for a Quaternion Tensor Triplet with Applications	6

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	6
Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra	6
Projection Factors and Generalized Real and Complex Pythagorean Theorems	5
Polynomial Approximation in Quaternionic Bloch and Besov Spaces	5
Almansi Theorem and Mean Value Formula for Quaternionic Slice-regular Functions	5
An All-in-One Geometric Algorithm for Cutting, Tearing, and Drilling Deformable Models	5
Fractional Clifford–Fourier Transform and its Application	5
Generalized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator	5
On the Jackson–Stechkin Theorems for the Best Approximations of Functions in Clifford Algebras	4
Some Fundamental Theorems of Functional Analysis with Bicomplex and Hyperbolic Scalars	4
On Specific Conic Intersections in GAC and Symbolic Calculations in GAALOPWeb	4
Formalizing Geometric Algebra in Lean	4
BiHom–Lie Superalgebra Structures and BiHom–Yang–Baxter Equations	4
Differential Topological Aspects in Octonionic Monogenic Function Theory	4
The Underlying Fiber Bundle Geometry of the CAM Gauge Model of the Standard Model of Particle Physics: $$\pmb {SU(3)}$$	4
GAALOPWeb for Matlab: An Easy to Handle Solution for Industrial Geometric Algebra Implementations	4
A Variation on Uncertainty Principles for Quaternion Linear Canonical Transform	4
The Unified Standard Model	4
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	4
Titchmarsh’s Theorem in Clifford Analysis	4
Foundations for Strip Adjustment of Airborne Laserscanning Data with Conformal Geometric Algebra	4
A Fiber Bundle over the Quaternionic Slice Regular Functions	3
Two-Component Spinorial Formalism Using Quaternions for Six-Dimensional Spacetimes	3
Ternary Clifford Algebras	3
On Inner Automorphisms Preserving Fixed Subspaces of Clifford Algebras	3
On the Problem of Choosing Subgroups of Clifford Algebras for Applications in Fundamental Physics	3
A New Approach to Slice Analysis Via Slice Topology	3
The Octonionic Bergman Kernel for the Half Space	3
Deep Learning Gauss–Manin Connections	3
Weighted Minimization Problems for Quaternion Matrices	3
A Multiplication Technique for the Factorization of Bivariate Quaternionic Polynomials	3
Hyperbolic Harmonic Functions and Hyperbolic Brownian Motion	3
Clifford-Valued Stockwell Transform and the Associated Uncertainty Principles	3
Adinkras: Graphs of Clifford Algebra Representations, Supersymmetry, and Codes	3
Complete Systems of Beltrami Fields Using Complex Quaternions and Transmutation Theory	3
One-Dimensional Quaternionic Special Affine Fourier Transform	3
Zeon Matrix Inverses and the Zeon Combinatorial Laplacian	3
Spacetime Geometry with Geometric Calculus	3
Energy–Momentum Complex in General Relativity and Gauge Theory	3
An Online Calculator for Quantum Computing Operations Based on Geometric Algebra	3
Basis-Free Formulas for Characteristic Polynomial Coefficients in Geometric Algebras	3