Wavelet Analysis on the Sphere : Spheroidal Wavelets

• Tác giả: Sabrine Arfaoui, Anouar Ben Mabrouk, Imen Rezgui
• Ngôn ngữ: eng
• ISBN-13: 978-3110481884
• Ký hiệu phân loại: 510 Mathematics
• Thông tin xuất bản: De Gruyter, 2017
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 201030
• Chủ đề: 1. Calculus & mathematical analysis

Tóm tắt

The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.