Spectral methods in geodesy and geophysics. (2017)

• Record Type: Book
• Further Information: Note: Christopher Jekeli, Division of Geodetic Science, School of Earth Sciences, Ohio State University, Columbus, Ohio, USA.
• Other Names: Jekeli, Christopher, 1953-
• Contents: ""Cover""; ""Half Title ""; ""Title""; ""Copyrights""; ""Dedication""; ""Preface""; ""Contents""; ""Chapter 1. Introduction""; ""1.1 Definitions and Notations ""; ""1.2 Geophysical Motivation ""; ""1.3 Mathematical Preliminaries ""; ""1.4 Summary ""; ""Chapter 2. Fourier Transforms of Functions on the Continuous Domain""; ""2.1 Introduction ""; ""2.2 Fourier Series "" ""2.2.1 Properties of the Fourier Series Transform """"2.3 The Fourier Integral ""; ""2.3.1 Properties of the Fourier Integral Transform ""; ""2.3.2 Rectangle Function ""; ""2.3.3 Gaussian Function ""; ""2.3.4 Dirac Delta Function ""; ""2.3.5 Fourier Transforms Using the Delta Function "" ""2.4 Two-Dimensional Transforms in Cartesian Space """"2.4.1 Two-Dimensional Fourier Series Transform ""; ""2.4.2 Two-Dimensional Fourier Integral Transform ""; ""2.4.3 Special Functions in Two Dimensions ""; ""2.5 The Hankel Transform ""; ""2.6 Legendre Transforms "" ""2.6.1 One-Dimensional Legendre Transform """"2.6.2 Two-Dimensional Fourier-Legendre Transform ""; ""2.6.3 Properties of Fourier-Legendre Transforms ""; ""2.6.4 Vector Spherical Harmonics ""; ""2.6.5 Cap Function ""; ""2.6.6 Gaussian Function on the Sphere "" ""2.6.7 Spherical Dirac Delta Function """"2.7 From Sphere to Plane ""; ""2.8 Examples of Fourier Transform Pairs ""; ""Exercises ""; ""Chapter 3. Convolutions and Windows on the Continuous Domain""; ""3.1 Introduction ""; ""3.2 Convolutions of Non-Periodic Functions ""; ""3.2.1 Properties of the Convolution ""
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 526/.101517222; Fourier transform spectroscopy; Spectrum analysis; Fourier analysis; Geodesy; Geophysics; Fourier analysis; Fourier transform spectroscopy; Geodesy; Geophysics; Spectrum analysis; SCIENCE / Earth Sciences / Geography; TECHNOLOGY & ENGINEERING / Cartography; Electronic books
• Languages: English
• ISBNs: 9781315118659; 1315118653; 9781351644945; 1351644947
• Related ISBNs: 9781482245257; 1482245256; 9781482245264
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.