OOIR: Observatory of International Research

Papers

(The TQCC of Advances in Applied Clifford Algebras is 2. 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 2021-02-01 to 2025-02-01.)

Article	Citations
Adaptive Fourier Decomposition of Slice Regular Functions	34
The Penrose Transform and the Exactness of the Tangential $$\pmb {k}$$-Cauchy–Fueter Complex on the Heisenberg Group	25
Bicomplex Weighted Bergman Spaces and Composition Operators	22
Spinorial Representation of Surfaces in Lorentzian Homogeneous Spaces of Dimension $$\varvec{3}$$	17
On the Bundle of Clifford Algebras Over the Space of Quadratic Forms	10
Quaternion Fourier Transform and Generalized Lipschitz Classes	10
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	10
On Constant-Trace Representations of Degenerate Clifford Algebras	10
Two-sided Clifford-valued Linear Canonical Transform: Properties and Mustard Convolution	10
Biquaternion Extensions of Analytic Functions	9
Electrostatic Fields in Some Special Inhomogeneous Media and New Generalizations of the Cauchy–Riemann System	9
Necessity of Tensorial Connections for Spinorial Systems	9
Quaternionic Approach of Slant Ruled Surfaces	8
Clifford Algebraic Approach to the De Donder–Weyl Hamiltonian Theory	8
Fourier-Poisson Transforms Associated with the Principal Series Representations of Sp(1, n)	7
The $$\mathcal {L_C}$$-Structure-Preserving Algorithms of Quaternion $$LDL^H$$ Decomposition and Cholesky Decomposition	7
Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform	7
Symmetric Functions and 3D Fermion Representation of $$\pmb {W_{1+\infty }}$$ Algebra	7
Riemann Boundary Value Problems for Monogenic Functions on the Hyperplane	7
Some Estimates for the Cauchy Transform in Higher Dimensions	6
Extensions and Crossed Modules of $$\varvec{n}$$-Lie–Rinehart Algebras	6
Some Estimates Over Spacelike Spin Hypersurfaces of Lorentzian Manifold	6
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces	6
Rings with Centrally-Extended Higher $$*$$-Derivations	5
Isomorphisms of Partial Differential Equations in Clifford Analysis	5

Brownian Motion, Martingales and Itô Formula in Clifford Analysis	5
Dynamical Systems of Operators Induced by Scaled Hypercomplex Rings	4
Solving and Algorithm to System of Quaternion Sylvester-Type Matrix Equations with $$*$$-Hermicity	4
Graded Symmetry Groups: Plane and Simple	4
Biquaternionic Treatment of Inhomogeneous Time-Harmonic Maxwell’s Equations Over Unbounded Domains	4
Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra	4
A Classical System of Matrix Equations Over the Split Quaternion Algebra	4
MiTopos	4
Quaternion Quantum Neural Network for Classification	4
Basis-Free Formulas for Characteristic Polynomial Coefficients in Geometric Algebras	4
On Octonionic Submodules Generated by One Element	4
New Applications of Clifford’s Geometric Algebra	4
Multivector Contractions Revisited, Part I	4
On Complex Kinematics and Relativity	4
An Algorithm for the Factorization of Split Quaternion Polynomials	4
Multivector Contractions Revisited, Part II	4
Vanishing Vector Rotation in Quadric Geometric Algebra	4
Quaternion Convolutional Neural Networks: Current Advances and Future Directions	4
Cauchy Integral Formula on the Distinguished Boundary with Values in Complex Universal Clifford Algebra	3
A Geometric Algebra Approach to Invariance Control in Sliding Regimes for Switched Systems	3
Models of CR Manifolds and Their Symmetry Algebras	3
Energy–Momentum Complex in General Relativity and Gauge Theory	3
Series Representation of Solutions of Polynomial Dirac Equations	3
Some New Results for Function Theory in Hypercomplex Analysis with Parameters	3
A New Way to Construct the Riemann Curvature Tensor Using Geometric Algebra and Division Algebraic Structure	3
On Structure of Inframonogenic Functions	3
Integral Formulas for Slice Cauchy–Riemann Operator and Applications	3
On Low-Dimensional Complex $$\omega $$-Lie Superalgebras	3
Adinkras: Graphs of Clifford Algebra Representations, Supersymmetry, and Codes	3
Spinorial Representation of Submanifolds in a Product of Space Forms	3
Clifford Algebras, Quantum Neural Networks and Generalized Quantum Fourier Transform	3
STP Method for Solving the Least Squares Special Solutions of Quaternion Matrix Equations	3
Correction to: Conformal Mappings Revisited in the Octonions and Clifford Algebras of Arbitrary Dimension	3
A Real Method for Solving Octonion Matrix Equation $$AXB=C$$ Based on Semi-tensor Product of Matrices	3
An Online Calculator for Quantum Computing Operations Based on Geometric Algebra	2
Heron’s Formula in Higher Dimensions	2
On the Problem of Choosing Subgroups of Clifford Algebras for Applications in Fundamental Physics	2
Siegel-Satake Cross and Associated Clifford Algebras	2
Geometric Algebra Speaks Quantum Esperanto	2
Branching of Weil Representation for $$G_2$$	2
MPCEP-$$*$$CEPMP-Solutions of Some Restricted Quaternion Matrix Equations	2
Short Time Quaternion Quadratic Phase Fourier Transform and Its Uncertainty Principles	2
New Versions of the Plemelj–Sochocki Formula in Clifford Analysis	2
Supersymmetric Schur Q-functions and Super BKP Hierarchy	2
The Clifford Algebra of the Density Matrix: An Elementary Approach	2
A New Approach to Slice Analysis Via Slice Topology	2
Generalized Derivations and Rota-Baxter Operators of $$\varvec{n}$$-ary Hom-Nambu Superalgebras	2
Eigenvalues of Quaternion Tensors: Properties, Algorithms and Applications	2
On Interactions of Quaternionic and Complex Structures of Linear Spaces	2
Monogenic Cauchy Implies Holomorphic Bochner–Martinelli	2

Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States	2
Generalized Partial-Slice Monogenic Functions: A Synthesis of Two Function Theories	2
Bicomplex Version of Lebesgue’s Dominated Convergence Theorem and Hyperbolic Invariant Measure	2
On Symmetries of Geometric Algebra Cl(3, 1) for Space-Time	2
Two-State Quantum Systems Revisited: A Clifford Algebra Approach	2
Convex Characteristics of Quaternionic Positive Definite Functions on Abelian Groups	2
Zeon and Idem-Clifford Formulations of Hypergraph Problems	2
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras	2
The Bessel–Clifford Function Associated to the Cayley–Laplace Operator	2
Linear Canonical Wavelet Transform in Quaternion Domains	2
On Monogenic Reproducing Kernel Hilbert Spaces of the Paley–Wiener Type	2
On Inner Automorphisms Preserving Fixed Subspaces of Clifford Algebras	2
Concept of s-Numbers in Quaternionic Analysis and Schatten Classes	2
Clifford-Valued Stockwell Transform and the Associated Uncertainty Principles	2
More About Bicomplex Möbius Transformations: Geometric, Algebraic and Analitical Aspects	2