书目名称 | Quaternion and Clifford Fourier Transforms and Wavelets | 编辑 | Eckhard Hitzer,Stephen J. Sangwine | 视频video | | 概述 | First book on this topics combining theory and applications.Comprehensive overview addressing both mathematicians and engineers.Provides a representative overview of the relevant literature | 丛书名称 | Trends in Mathematics | 图书封面 |  | 描述 | .Quaternion and Clifford Fourier and wavelet transformations generalize the classical theory to higher dimensions and are becoming increasingly important in diverse areas of mathematics, physics, computer science and engineering. This edited volume presents the state of the art in these hypercomplex transformations. The Clifford algebras unify Hamilton’s quaternions with Grassmann algebra. A Clifford algebra is a complete algebra of a vector space and all its subspaces including the measurement of volumes and dihedral angles between any pair of subspaces. Quaternion and Clifford algebras permit the systematic generalization of many known concepts.. .This book provides comprehensive insights into current developments and applications including their performance and evaluation. Mathematically, it indicates where further investigation is required. For instance, attention is drawn to the matrix isomorphisms for hypercomplex algebras, which will help readers to see that software implementations are within our grasp.. .It also contributes to a growing unification of ideas and notation across the expanding field of hypercomplex transforms and wavelets. The first chapter provides a histori | 出版日期 | Book 2013 | 关键词 | complex numbers; hypercomplex algebra and analysis; image and signal processing; matrix isomorphisms; qu | 版次 | 1 | doi | https://doi.org/10.1007/978-3-0348-0603-9 | isbn_softcover | 978-3-0348-0777-7 | isbn_ebook | 978-3-0348-0603-9Series ISSN 2297-0215 Series E-ISSN 2297-024X | issn_series | 2297-0215 | copyright | Springer Basel 2013 |
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