Spectrum and analytic functional calculus in real and quaternionic frameworks: An overview

Spectrum and analytic functional calculus in real and quaternionic frameworks: An overview

An approach to the elementary spectral theory for quaternionic linear operators was presented by the author in a recent paper, quoted and discussed in the Introduction, where, unlike in works by other authors, the construction of the analytic functional calculus used a Riesz-Dunford-Gelfand type ker...

Descripció completa

Dades bibliogràfiques
Autor principal:	Florian-Horia Vasilescu
Format:	Article
Idioma:	English
Publicat:	AIMS Press 2024-01-01
Col·lecció:	AIMS Mathematics
Matèries:	spectrum in real algebras conjugation real operators quaternionic operators analytic functional calculus
Accés en línia:	https://www.aimspress.com/article/doi/10.3934/math.2024115?viewType=HTML

Ítems similars

Enabling quaternion derivatives: the generalized HR calculus
per: Dongpo Xu, et al.
Publicat: (2015-01-01)

Contractions on ranks and quaternion types in clifford algebras
per: Dmitry S Shirokov
Publicat: (2015-03-01)

On certain real hypersurfaces of quaternionic projective space
per: Juan De Dios Perez, et al.
Publicat: (1991-01-01)

Quaternionic Multilayer Perceptron with Local Analyticity
per: Nobuyuki Matsui, et al.
Publicat: (2012-11-01)

Spectrum and Analytic Functional Calculus for Clifford Operators via Stem Functions
per: Vasilescu Florian-Horia
Publicat: (2021-07-01)

Weighted Fractional Calculus: A General Class of Operators
per: Arran Fernandez, et al.
Publicat: (2022-04-01)

Calculation of vectorial derivatives for functions of a quaternion variable and their properties
per: Ji Eun Kim
Publicat: (2021-09-01)

One-dimensional quaternion Laplace transform: Properties and its application to quaternion-valued differential equations
per: Muhammad Afdal Bau, et al.
Publicat: (2023-12-01)

Quaternions, Clifford Algebras and Relativistic Physics [electronic resource]: /
per: 412709 Girard, Patrick R., et al.
Publicat: (2007)

On quaternion applications in obtaining surfaces
per: Keskin Özgür, et al.
Publicat: (2019-01-01)

A operational calculus for the fractional operator Bp,a,B
per: J. Alamo, et al.
Publicat: (2011-01-01)

New Sampling Expansion Related to Derivatives in Quaternion Fourier Transform Domain
per: Siddiqui Saima, et al.
Publicat: (2022-04-01)

Characterizations of Unit Darboux Ruled Surface with Quaternions
per: Abdussamet Çalışkan
Publicat: (2023-03-01)

A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients
per: Emel Karaca, et al.
Publicat: (2020-12-01)

Solution to Several Split Quaternion Matrix Equations
per: Xin Liu, et al.
Publicat: (2024-05-01)

A real representation method for special least squares solutions of the quaternion matrix equation (AXB,DXE)=(C,F)
per: Fengxia Zhang, et al.
Publicat: (2022-06-01)

Jacobson’s Lemma in the ring of quaternionic linear operators
per: Benabdi El Hassan, et al.
Publicat: (2021-09-01)

Introductory calculus /
per: 385335 Roberts, A. Wayne
Publicat: (1972)

HYPERHOLOMORPHIC FUNCTIONS WITH VALUES IN A MODIFIED FORM OF QUATERNIONS
per: Ji Eun Kim
Publicat: (2020-01-01)

RSVD for Three Quaternion Tensors with Applications in Color Video Watermark Processing
per: Wen-Juan Chen, et al.
Publicat: (2023-02-01)

On generalized quaternion algebras
per: George Szeto
Publicat: (1980-01-01)

An operational calculus formulation of fractional calculus with general analytic kernels
per: Noosheza Rani, et al.
Publicat: (2022-09-01)

Operational calculus/
per: 403547 Krabbe, Gregers
Publicat: (1970)

Operational calculus/
per: 406790 Mikusinski, Jan
Publicat: (1959)

Operational calculus
per: 406790 Mikusinski, Jan
Publicat: (1983)

Operational calculus/
per: 406920 Shtokalo, Z.
Publicat: (1976)

Operator calculus on the class of Sato’s hyperfunctions
per: M.I. Patra, et al.
Publicat: (2013-06-01)

Operator calculus on the class of Sato's hyperfunctions
per: Patra M.I., et al.
Publicat: (2013-06-01)

Quaternionic Hilbert spaces and operator theory
per: Lim, Zhi Xing
Publicat: (2024)

Dual-Quaternion Analytic LQR Control Design for Spacecraft Proximity Operations
per: Kyl Stanfield, et al.
Publicat: (2021-05-01)

Answer booklet for Introductory calculus /
per: 194059 Roberts, Arthur Wayne
Publicat: (1972)

Introduction to the operational calculus/
per: 213016 Berg, Lothar
Publicat: (1967)

Instructor's manual for college calculus with analytic geometry and calculus with analytic geometry : a first caurse /
per: 240436 Baggiano, Anthony L.
Publicat: (1977)

Hopf algebra structures on generalized quaternion algebras
per: Quanguo Chen, et al.
Publicat: (2024-05-01)

Operational calculus and generalized functions/
per: 408492 Erdelyi, Arthur
Publicat: (1962)

Heaviside operational calculus an elementry foundation
per: 406837 Moore, Douglas H.
Publicat: (1971)

Operator Calculus Approach to Comparison of Elasticity Models for Modelling of Masonry Structures
per: Klaus Gürlebeck, et al.
Publicat: (2022-05-01)

Image Classification Based on Sparse Representation in the Quaternion Wavelet Domain
per: Long H. Ngo, et al.
Publicat: (2022-01-01)

Some Properties of Operator Valued Frames in Quaternionic Hilbert Spaces
per: Guoqing Hong, et al.
Publicat: (2022-12-01)

Feedforward–Feedback Controller Based on a Trained Quaternion Neural Network Using a Generalised <inline-formula><math display="inline"><semantics><mi mathvariant="double-struck">HR</mi></semantics></math></inline-formula> Calculus with Application to Trajectory Control of a Three-Link Robot Manipulator
per: Kazuhiko Takahashi, et al.
Publicat: (2022-05-01)