Spectral methods in geodesy and geophysics /

Bibliographic Details
Main Author:	Jekeli, Christopher, 1953-
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Boca Raton, FL : CRC Press, 2017.
Subjects:	Fourier transform spectroscopy. Spectrum analysis. Fourier analysis. Geodesy. Geophysics. Spectroscopie par transformée de Fourier. Analyse de Fourier. Géodésie. Géophysique. geodesy. geophysics. SCIENCE > Earth Sciences > Geography. TECHNOLOGY & ENGINEERING > Cartography. Fourier analysis Fourier transform spectroscopy Geodesy Geophysics Spectrum analysis Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of 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