Generalizations of complex analysis and applications new developments in quaternions, octonions, Clifford’s geometric algebras, and Clifford analysis Eckhard Hitzer, Dmitrii Legatiuk, Sebastià Xambó-Descamps, Rolf Sören Kraußhar, editors

Format:

Book

Contributor:

Hitzer, Eckhard, editor.

Legatiuk, Dmitrii, 1988- editor.

Xambó-Descamps, S. (Sebastián), 1945- editor.

Krausshar, Rolf Sören, 1972- editor.

Series:

Trends in mathematics 2297-024X

Language:

English

Subjects (All):

Functions of complex variables.

Clifford algebras.

Mathematical analysis.

Physical Description:

1 online resource

Place of Publication:

Cham, Switzerland Springer [2026]

Summary:

"This volume provides comprehensive coverage of new developments in hypercomplex analysis and Clifford analysis. Contributions are based on talks given at the 9th European Congress of Mathematics minisymposium "Generalizations of Complex Analysis and Applications," held in Spain in July 2024"-- Springer Nature Link

Contents:

Overview of hypercomplex algebra and analysis / Eckhard Hitzer, Rolf Sören Kraußhar, Dmitrii Legatiuk, and Sebastià Xambó-Descamps

8-dimensional composition algebras and the Cayley plane / Daniele Corradetti

Embedding the Okubo algebra in Clifford’s geometric algebras and vice versa / Eckhard Hitzer and Stephen J. Sangwine

On Born reciprocal relativity theory, the relativistic oscillator, and the Fulling–Davies–Unruh effect / Carlos Castro Perelman

Octonions, complex structures, and standard model fermions / Kirill Krasnov

Discrete octonionic analysis : a unified approach to the split-octonionic and classical settings / Rolf Sören Kraußhar, Anastasiia Legatiuk, and Dmitrii Legatiuk

Octonion quadratic-phase Fourier transform : theory and uncertainty principles / Waseem Z. Lone, Amit K. Verma, and Firdous A. Shah

Conjugate (1/q, q)-harmonic polynomials in q-Clifford analysis / Swanhild Bernstein, Amedeo Altavilla, and Martha Lina Zimmermann

Poisson problem on multivector fields in hyperbolic upper half-space H³ / Heikki Orelma, M. Manuela Rodrigues, and Nelson Vieira

From line transformations to two-qubit quantum gates / Hongbo Li and Zhihao Yang

Quaternion principal component analysis : mathematical foundations and NMR spectroscopic applications / Marta González-Lázaro, Francisco G. Montoya, Ana Abreu, Alfredo Alcayde, Ignacio Fernández, and Francisco Manuel Arrabal-Campos

Singular value decomposition for geometric algebra modeled AC electrical systems / Manel Velasco, Josué Duarte, Isiah Zaplana, Arnau Dòria-Cerezo, and Pau Martí

Expression classification using Slepian-based rotation invariant moments / Cuiming Zou and Kit Ian Kou

Notes:

Includes bibliographical references

Online resource; title from PDF title page (Springer Nature Link, viewed April 17, 2026)

Other Format:

Print version Generalizations of complex analysis and applications

ISBN:

9783032091598

3032091594

OCLC:

1584509211

Access Restriction:

Restricted for use by site license