Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry provides a coherent, integrated look at various topics from analysis. It begins with Fourier series, continues with Hilbert spaces, discusses the Fourier transform on the real line, and then turns to the heart of…
Professor Retherford's aim in this book is to provide the reader with a virtually self-contained treatment of Hilbert space theory, leading to an elementary proof of the Lidskij trace theorem. He assumes the reader is familiar with only linear algebra and advanced calculus, and …
"Some knowledge of elementary functional analysis and a familiarity with the basics of operator theory are all that is required. While this problem solving approach to the study of Hilbert space operators is primarily aimed at graduate students, it will benefit researchers and w…
"Some knowledge of elementary functional analysis and a familiarity with the basics of operator theory are all that is required. While this problem solving approach to the study of Hilbert space operators is primarily aimed at graduate students, it will benefit researchers and w…
"The aim of this book is to give a systematic and self-contained presentation of basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and Banach, spaces. These are a generalisation of stochastic differential equations as introduced by Ito an…