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Modern Trends in Hypercomplex Analysis de Swanhild Bernstein

Modern Trends in Hypercomplex Analysis: Trends in Mathematics

Editat de Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Franciscus Sommen
en Limba Engleză Hardback – 23 noi 2016
This book contains a selection of papers presented at the session "Quaternionic and Clifford Analysis" at the 10th ISAAC Congress held in Macau in August 2015. The covered topics represent the state-of-the-art as well as new trends in hypercomplex analysis and its applications.
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Specificații

ISBN-13: 9783319425283
ISBN-10: 3319425285
Pagini: 320
Ilustrații: VII, 310 p. 20 illus., 3 illus. in color.
Dimensiuni: 160 x 241 x 23 mm
Greutate: 0.65 kg
Ediția:1st edition 2016
Editura: birkhäuser
Colecția Trends in Mathematics
Seria Trends in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

Cauchy–Pompeiu Formula for Multi-meta-weighted-monogenic Functions of first class.- Greedy Algorithms and Rational Approximation in One and Several Variables.- A. Kolmogorov and M. Riesz Theorems for Octonion-valued Monogenic Functions.- Compressed Sensing with Nonlinear Fourier Atoms.- Script Geometry.- A Panorama on Quaternionic Spectral Theory and Related Functional Calculi.- Models for Some Irreducible Representations of so(m,C) in Discrete Clifford Analysis.- Gegenbauer Type Polynomial Solutions for the Higher Spin Laplace Operator.- A New Cauchy Type Integral Formula for Quaternionic k-hypermonogenic Functions.- Eigenfunctions and Fundamental Solutions of the Caputo Fractional Laplace and Dirac Operators.- Three-dimensional Analogue of Kolosov–Muskhelishvili Formulae.- On Some Properties of Pseudo-complex Polynomials.- Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras.- Differential Forms and Clifford Analysis.- Examples of Morphological Calculus.

Textul de pe ultima copertă

This book contains a selection of papers presented at the session "Quaternionic and Clifford Analysis" at the 10th ISAAC Congress held in Macau in August 2015. The covered topics represent the state-of-the-art as well as new trends in hypercomplex analysis and its applications.

Caracteristici

Presents recent developments in all directions of hypercomplex analysis Shares new perspectives and current trends for researchers interested in/or related to the topic Features an exposition of applications (image analysis, mathematical physics and mechanics, etc.) for persons working in these areas as well as easily accessible for non-specialists