SU\G(𝔸)/K·U
Mathematics › Applied Mathematics

Algebraic and Geometric Analysis

Works Count: 32300

Description

This cluster of papers explores advances in quaternionic analysis, geometric algebra, slice regular functions, dark matter, spinor fields, functional calculus, Clifford analysis, octonions, Dirac operators, and hypercomplex numbers.

Keywords

Quaternionic Analysis; Geometric Algebra; Slice Regular Functions; Dark Matter; Spinor Fields; Functional Calculus; Clifford Analysis; Octonions; Dirac Operators; Hypercomplex Numbers

Most Cited Works

Action Title Date Authors
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Analysis on Symmetric Cones 1994-12-29 Jacques Faraut Adam Korányi
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Approximate formulas for some functions of prime numbers 1962-03-01 J. Barkley Rosser Lowell Schoenfeld
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Geometric Theory of Functions of a Complex Variable 1969-12-31 G. Goluzin
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Operator theory in function spaces 1991-07-01 Kehe Zhu
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Interpolation of Operators 1988-01-01 Curtis D. Bennett M Sharpley
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Groups and Geometric Analysis 2000-10-03 Sigurđur Helgason
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Classical Fourier Analysis 2014-01-01 Loukas Grafakos
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Introduction to the theory of linear nonselfadjoint operators 1969-01-01 M. Г. Крейн Israel Gohberg
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Composition Operators on Spaces of Analytic Functions 2019-03-04 Carl C. Cowen Barbara D. MacCluer
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Formulas and Theorems for the Special Functions of Mathematical Physics 1966-01-01 Wilhelm Magnus Fritz Oberhettinger Raj Pal Soni
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Sturm-Liouville Operators and Applications 1986-01-01 V. А. Marchenko
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<i>Theory of Functions of a Complex Variable</i> 1966-06-01 A. I. Markushevich Richard A. Silverman J. Gillis
+ PDF Ask
Classical and new inequalities in analysis 1993-12-01 D. S. Mitrinović J. E. Pečarić A. M. Fink
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Banach Algebra Techniques in Operator Theory 1998-01-01 Ronald G. Douglas
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Singular Integral Equations 1977-01-01 N. I. Muskhelishvili
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Fourier Analysis and Nonlinear Partial Differential Equations 2011-01-01 Hajer Bahouri Jean-Yves Chemin Raphaël Danchin
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The Index of Elliptic Operators: III 1968-05-01 Michael Atiyah I. M. Singer
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The Rotation of Eigenvectors by a Perturbation. III 1970-03-01 Chandler Davis W. Kahan
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Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations 1977-09-01 Robert S. Strichartz
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Lectures on Classical Differential Geometry. 1952-02-01 Claude Springer D. J. Struik
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Rapid solution of integral equations of classical potential theory 1985-09-01 Vladimir Rokhlin
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Supergauge transformations in four dimensions 1974-02-01 J. Wess Bruno Zumino
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Fourier Analysis on Groups 2006-04-26 Walter Rudin L. Bers R. Courant J. J. Stoker Dagmar Renate Henney
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Curvatures of left invariant metrics on lie groups 1976-09-01 John Milnor
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Field theories with « Superconductor » solutions 1961-01-01 Jared V. Goldstone
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Irreducible Unitary Representations of the Lorentz Group 1947-07-01 V. Bargmann
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Fourier integral operators. I 1971-01-01 Lars Hörmander
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<i>Lectures on Cauchy's Problem in Linear Partial Differential Equations</i> 1953-08-01 Jacques Hadamard Philip Μ. Morse
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Bounded Analytic Functions. 1982-08-01 Peter W. Jones John B. Garnett
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Pseudoparticle solutions of the Yang-Mills equations 1975-10-01 A. A. Belavin A. M. Polyakov Arthur S. Schwartz Yu. S. Tyupkin
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An Undulatory Theory of the Mechanics of Atoms and Molecules 1926-12-01 Erwin Schrödinger
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Asymptotics and Special Functions 1997-01-24 F. W. J. Olver
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Die gegenw�rtige Situation in der Quantenmechanik 1935-11-01 E. Schr�dinger
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On Gauge Invariance and Vacuum Polarization 1951-06-01 Julian Schwinger
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Complete Normed Algebras 1973-01-01 F. F. Bonsall John F. R. Duncan
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Local phenomenological nucleon-nucleon potentials 1968-12-01 Roderick V. Reid
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The Wave Mechanics of an Atom with a Non-Coulomb Central Field. Part I. Theory and Methods 1928-01-01 D. R. Hartree
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Structure of Phenomenological Lagrangians. I 1969-01-25 Sidney Coleman J. Wess Bruno Zumino
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An Operator Calculus Having Applications in Quantum Electrodynamics 1951-10-01 Richard P. Feynman
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Fine Structure of the Hydrogen Atom by a Microwave Method 1947-08-01 Willis E. Lamb Robert C. Retherford
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Operator theory: Advances and applications 1991-01-01
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The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals 1947-04-01 R. H. Cameron W. T. Martin
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SEMI-RIEMANNIAN GEOMETRY With Applications to Relativity 1984-05-01 M. A. H. MacCallum
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Group Theory and its Applications to Physical Problems 1962-10-01 Morton Hamermesh Albert A. Mullin
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Functions of One Complex Variable 1973-01-01 John B. Conway
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Analytic Functions of Several Complex Variables. 1968-04-01 J. W. Gray Robert C. Gunning Hugo Rossi
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Conformal Field Theory 1997-01-01 Philippe Di Francesco Pierre Mathieu David Sénéchal
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Handbook of Elliptic Integrals for Engineers and Scientists 1971-01-01 Paul F. Byrd Morris D. Friedman
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Classical Fourier Analysis 2008-01-01 Loukas Grafakos
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Fourier analysis on groups 1963-01-01 Ye.A. Gorin

Most Recent Works

Action Title Date Authors
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256×256 Dirac Equation in Curved Spacetime: A New Method for Quantum Electrodynamics Calculations without Vierbein Fields 2025-04-29 Hirokazu Maruyama
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Constructive description of Hölder spaces on a chord-arc curve in ℝ³ 2025-04-29 T. Alekseeva N. A. Shirokov
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On the spectrum of supercyclic/hypercyclic operators 2025-04-30 Pietro Aiena Fabio Burderi Salvatore Triolo
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Stability Analysis of Higher-Order Linear Differential Equations Using the Fourier Transform With Applications 2025-04-30 M. Sivashankar S. Sabarinathan Salah Boulaaras Mohamed Abdalla Taha Radwan
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Anti-de Sitterian “massive” elementary systems and their Minkowskian and Newton-Hooke contraction limits 2025-05-01 Mohammad Enayati Jean‐Pierre Gazeau M. A. del Olmo Hamed Pejhan
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The Conformable DoubleLaplace-Sawi Transform 2025-05-01 Raed Abu Awwad Monther Al-Momani Baha' Abughazaleh Ali Jaradat Abdulkarim Farah
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The Composition of Modified Reflection Operators and Their Fixed Point Sets 2025-05-01 Salihah Alwadani
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\(\mathcal{C}_\alpha\)-Rectifying Curves in a New Conformable Differential Geometry 2025-05-01 Aykut Has Beyhan Yılmaz Thabet Abdeljawad
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Singular Value Inequalities for Matrix Sums and Products 2025-05-01 Ahmad Al-Natoor Rawan Al-Smadi Aliaa Burqan
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The Complete List of Solutions to M\"{o}bius's Exponential Equation 2025-05-01 Rasimate Maungchang Watchareepan Atiponrat Tarid Suwansri Jaturon Wattanapan Teerapong Suksumran
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Exceptional Differential Polynomial Systems Formed by Simple Pseudo-Wronskians of Jacobi Polynomials and Their Infinite and Finite X-Orthogonal Reductions 2025-04-30 Gregory Natanson
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Madelung Structure of the Dirac Equation 2025-04-30 Luca Fabbri
+ PDF Ask
Minimal commutant and double commutant property for analytic Toeplitz operators 2025-05-02 María José González Fernando León-Saavedra
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FEJÉR-RIESZ TYPE INEQUALITIES FOR WEIGHTED BERGMAN SPACES 2025-05-02 Kazuhiro Kasuga
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EQUILATERAL DIMENSION OF THE UPPER HALF SPACE WITH HYPERBOLIC TYPE METRIC 2025-05-02 Joonhyung Kim
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Augmented MGS-CGS Block-Arnoldi Recycling Solvers 2025-05-02 Stephen Thomas Allison H. Baker Stéphane Gaudreault
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On the Dirichlet problem for generalized Cauchy-Riemann equations 2025-04-30 Vladimir Gutlyanskiĭ Vladimir Ryazanov Atakan Salimov Ruslan Salimov
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Applications of Triple Integrals 2025-05-03 M. Anita M. Rajani Neerudi Jyothika
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Norm of the Hilbert Matrix Operator Between Some Spaces of Analytic Functions 2025-05-03 Hao Hu Shanli Ye
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Dynamical sampling in quaternionic Hilbert spaces 2025-05-05 Ruchi Bhardwaj Raksha Sharma Shivani Sharma
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Poincaré-Perron problem for half-linear ordinary differential equations 2025-05-05 Naito Manabu Hiroyuki Usami
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Solving Quadratic Equations with Complex Coefficients &amp; Determining the Square Root for any Complex Number 2025-05-05 Aziz Arbai Amina Bellekbir Abounaima Mohammed Chaouki
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TRANSFORMATION AND SYMMETRIES FOR THE ANDREWS-GARVAN CRANK FUNCTION 2025-05-05 Rishabh Sarma
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Multiplication formula for the Nörlund sum operator and their applications 2025-05-07 Elif ŞÜKRÜOĞLU Yılmaz Şimşek
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A Certain Class of Function Analytic and Subordinate to the Modified Sigmoid Function 2025-05-06 Ezugorie Obiageri M. Z. Ishiaku Fadipe-Joseph Olubunmi A.
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On the Geodesics of the Szegő metric 2025-05-01 Aparna Bhatnagar
+ PDF Ask
Symbolic and User-friendly Geometric Algebra Routines (SUGAR) for Computations in Matlab 2025-05-06 Manel Velasco Isiah Zaplana Arnau Dòria‐Cerezo Pau Martí
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The $H^{\infty}$-functional calculus for bisectorial Clifford operators 2025-05-06 Francesco Mantovani Peter Schlosser
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Proof of Riemann Hypothesis 2025-05-07 El Bachir bouazad
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Memoirs of Mr Clifford 2025-05-08
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Closed-form representations of the Coulomb integral over hydrogenic orbitals 2025-05-07 Balakrishnan Viswanathan Darien DeWolf
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Some open mathematical problems concerning charged quantum particles 2025-05-07 Mathieu Lewin
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Born Geometry via Künneth Structures and Recursion Operators 2025-05-07 M. J. D. Hamilton D. Kotschick Paula Naomi Pilatus
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Fourier-type algebras and applications to some classes of convolution-type integral equations 2025-05-07 Nguyen Minh Tuan
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Dunkl approach to slice regular functions 2025-05-07 Giulio Binosi Hendrik De Bie Pan Lian
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Explicit computation of the field of moduli of some non-hyperelliptic pseudo-real curves 2025-05-07 Rubén A. Hidalgo
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MARTINGALES ON THE GROUPS OF DIFFEOMORPHISMS AND THE FLOWS OF FLUIDS ON FLAT n-DIMENSIONAL TORUS 2025-05-07 Yuri E. Gliklikh
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Additive results for the generalized n-strong Drazin inverse in Banach algebras 2025-05-07 Kai Yan Weifeng Wang
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MONOGENITY OF THE COMPOSITION OF POLYNOMIALS 2025-05-08 Surender Kumar
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Padovan and Perrin hyperbolic spinors 2025-05-08 Zehra İşbilir Işıl Arda Kösal Murat Tosun
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A Unified Derivation of the Lorentz Transformation and the Relativistic Energy and Momentum 2025-05-10 Mirza Satriawan
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Numerical Ranges are Shadows 2025-05-01 Alan Wiggins En-Li Xie
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Preconditioned structure-preserving Jacobi algorithms for computing the SVD of a quaternion matrix 2025-05-09 Ru-ru Ma Zhicai Ma
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Introducing Multidimensional Dirac–Hestenes Equation 2025-05-09 S. V. Rumyantseva Dmitry Shirokov
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New Subclass of Meromorphic Functions Defined via Mittag–Leffler Function on Hilbert Space 2025-05-09 Mohammad El-Ityan Luminiţa-Ioana Cotîrlă Tariq Al-Hawary Suha Hammad Daniel Breaz Rafid Habib Buti
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Two-Fluid Plasma Equations in Terms of Macfarlane Quaternions 2025-05-09 Süleyman Demi̇r
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RADIAL TOEPLITZ FORMS ON THE WEIGHTED BERGMAN SPACE OVER THE UNIT DISK 2025-05-09 Kevin Esmeral Anuar Enrique Paternina Montalvo
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Exceptional lines and higher-order exceptional points enabled by uniform loss 2025-05-10 Fanghu Feng Neng Wang Guo Ping Wang
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Rationalisation of multiple square roots in Feynman integrals 2025-05-08 Γεώργιος Παπαθανασίου Stefan Weinzierl Konglong Wu Yang Zhang
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Explicit numerical computation of normal forms for Poincaré maps 2025-05-01 Joan Gimeno Àngel Jorba Marc Jorba-Cuscó Maorong Zou