Preliminaries

• Type: Chapter or Part of a Book
• Date: 2022

Authors

Sousa, R (Author) Other; Guerra, M (Author) Other; Yakubovich, SB (Author) FCUP

Indexing

Scopus

Other information

Authenticus ID: P-00X-13G

DOI: 10.1007/978-3-031-05296-5_2

Abstract (EN): Our opening discussion in the introductory chapter sketched some connections between the problem of constructing generalized convolutions and various fields of mathematics such as harmonic analysis, stochastic processes, differential equations, spectral theory and special functions. In the first three sections of this chapter, we review some prerequisite notions and facts from these fields. Section 2.4 closes the chapter with an example of a generalized convolution (the Kingman convolution), providing motivation and a benchmark for the results in further chapters. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Language: English

Type (Professor's evaluation): Scientific