An Introduction to Operators on the Hardy-Hilbert Space By Rubén A. Martínez-Avendaño English | PDF | 2007 | 230 Pages | ISBN : 0387354182 | 1.62 MB
The subject of this book is operator theory on the Hardy space H2, also called the Hardy-Hilbert space. This is a popular area, partially because the Hardy-Hilbert space is the most natural setting for operator theory. A reader who masters the material covered in this book will have acquired a firm foundation for the study of all spaces of analytic functions and of operators on them.
A Discrete Hilbert Transform with Circle Packings By Dominik Volland English | PDF | 2017 | 110 Pages | ISBN : 3658204567 | 2.61 MB
Dominik Volland studies the construction of a discrete counterpart to the Hilbert transform in the realm of a nonlinear discrete complex analysis given by circle packings. The Hilbert transform is closely related to Riemann-Hilbert problems which have been studied in the framework of circle packings by E. Wegert and co-workers since 2009. The author demonstrates that the discrete Hilbert transform is well-defined in this framework by proving a conjecture on discrete problems formulated by Wegert. Moreover, he illustrates its properties by carefully chosen numerical examples.
From Kant to Hilbert: A Source Book in the Foundations of Mathematics by William Ewald English | 12 Oct. 2007 | ISBN: 0198505353 | 696 Pages | PDF | 64 MB
Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth century ideas.