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 2020-03-01 to 2024-03-01.)

Article	Citations
Algorithmically Solving the Tadpole Problem	27
Some Results for the Two-Sided Quaternionic Gabor Fourier Transform and Quaternionic Gabor Frame Operator	19
Geometric Algebra of Singular Ruled Surfaces	18
Generalized Derivations and Rota-Baxter Operators of $$\varvec{n}$$-ary Hom-Nambu Superalgebras	16
New Applications of Clifford’s Geometric Algebra	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
Linear Canonical Wavelet Transform in Quaternion Domains	9
A Quaternion Matrix Equation with Two Different Restrictions	9
Weyl and Majorana Spinors as Pure Goldstone Bosons	9
Multi-modal Medical Image Fusion Based on Geometric Algebra Discrete Cosine Transform	8
Quaternion Fourier Transform and Generalized Lipschitz Classes	8
An Introduction to Hyperholomorphic Spectral Theories and Fractional Powers of Vector Operators	7
Split Quaternion-Valued Twin-Multistate Hopfield Neural Networks	7
Sedeonic Equations in Field Theory	7
MPCEP-$$*$$CEPMP-Solutions of Some Restricted Quaternion Matrix Equations	7
Fractional Elementary Bicomplex Functions in the Riemann–Liouville Sense	6
On Structure of Inframonogenic Functions	6
Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra	6
TbGAL: A Tensor-Based Library for Geometric Algebra	6
Solvability of New Constrained Quaternion Matrix Approximation Problems Based on Core-EP Inverses	6
Symmetric Functions and 3D Fermion Representation of $$\pmb {W_{1+\infty }}$$ Algebra	6
Basis-free Solution to Sylvester Equation in Clifford Algebra of Arbitrary Dimension	6
Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra	6
Classification of Left Octonionic Modules	5

Polynomial Approximation in Quaternionic Bloch and Besov Spaces	5
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	5
Projection Factors and Generalized Real and Complex Pythagorean Theorems	5
Decomposition for a Quaternion Tensor Triplet with Applications	5
The Sum and the Product of Two Quadratic Matrices: Regular Cases	5
Fractional Clifford–Fourier Transform and its Application	5
An All-in-One Geometric Algorithm for Cutting, Tearing, and Drilling Deformable Models	5
Generalized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator	5
The Underlying Fiber Bundle Geometry of the CAM Gauge Model of the Standard Model of Particle Physics: $$\pmb {SU(3)}$$	4
On Specific Conic Intersections in GAC and Symbolic Calculations in GAALOPWeb	4
BiHom–Lie Superalgebra Structures and BiHom–Yang–Baxter Equations	4
Some Fundamental Theorems of Functional Analysis with Bicomplex and Hyperbolic Scalars	4
Titchmarsh’s Theorem in Clifford Analysis	4
GAALOPWeb for Matlab: An Easy to Handle Solution for Industrial Geometric Algebra Implementations	4
Investigation of Generalized $$\mathcal {Z}$$- Recurrent Spacetimes and $$f(\mathcal {R},T)$$-Gravity	4
Differential Topological Aspects in Octonionic Monogenic Function Theory	4
Almansi Theorem and Mean Value Formula for Quaternionic Slice-regular Functions	4
Formalizing Geometric Algebra in Lean	4
The Unified Standard Model	4
Deep Learning Gauss–Manin Connections	3
Factorization and Generalized Roots of Dual Complex Matrices with Rodrigues’ Formula	3
A Multiplication Technique for the Factorization of Bivariate Quaternionic Polynomials	3
Ternary Clifford Algebras	3
Hyperbolic Harmonic Functions and Hyperbolic Brownian Motion	3
On the Problem of Choosing Subgroups of Clifford Algebras for Applications in Fundamental Physics	3
Basis-Free Formulas for Characteristic Polynomial Coefficients in Geometric Algebras	3
Complete Systems of Beltrami Fields Using Complex Quaternions and Transmutation Theory	3
One-Dimensional Quaternionic Special Affine Fourier Transform	3
Weighted Minimization Problems for Quaternion Matrices	3
Zeon Matrix Inverses and the Zeon Combinatorial Laplacian	3
On Inner Automorphisms Preserving Fixed Subspaces of Clifford Algebras	3
Adinkras: Graphs of Clifford Algebra Representations, Supersymmetry, and Codes	3
Clifford-Valued Stockwell Transform and the Associated Uncertainty Principles	3
The Octonionic Bergman Kernel for the Half Space	3
A Fiber Bundle over the Quaternionic Slice Regular Functions	3
Foundations for Strip Adjustment of Airborne Laserscanning Data with Conformal Geometric Algebra	3
Two-Component Spinorial Formalism Using Quaternions for Six-Dimensional Spacetimes	3
On the Jackson–Stechkin Theorems for the Best Approximations of Functions in Clifford Algebras	3
A New Approach to Slice Analysis Via Slice Topology	3
Energy–Momentum Complex in General Relativity and Gauge Theory	3
An Online Calculator for Quantum Computing Operations Based on Geometric Algebra	3
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	3