Rupert Lasser Books

Focusing on the abstract harmonic analysis of hypergroups, this book integrates applied topics such as spectral analysis and stochastic sequences. Hypergroups, defined as locally compact Hausdorff spaces with specific algebraic structures, have historical roots tracing back to Frobenius in the early 1900s. Their axiomatic characterization was further developed in the 1970s. The text highlights the relevance of hypergroups in diverse fields, including time series analysis, probability theory, and theoretical physics, showcasing their broad applicability.

Focusing on Fourier series, the book emphasizes approximate identities and their applications, especially in time series analysis. It explores the concept of homogeneous Banach spaces and incorporates recent findings. The text employs techniques from functional analysis and measure theory, making it a comprehensive resource for advanced studies in this mathematical area.