Alan Carey – författare

One of the most unusual and remarkable American fighter aircraft, the F-82 Twin Mustang was the last mass production propeller-driven fighter acquired by the U.S. Air Force. Originally intended as a very long-range fighter escort for the Boeing B-29 Superfortress during World War II, it arrived too late to see combat and evolved into a night and all-weather fighter during the post-war years. Combat operations in the Korean War followed, along with a host of other dynamic episodes of deployment. This work traces the developmental, operational, and combat history of this unique American fighter and features 120 photographs and illustrations, many of which have never been published before.

Seven chapters, all extensively illustrated, cover the aircraft's development, descriptions of the variants and sub-types, details of initial entry into service, three chapters covering the F-82's service in the Korean War, and a final chapter detailing the type's removal from the Korean War Theatre in February 1952, to see out its operational days in the Alaskan Air Defence Command.

An appendix section follows, featuring tables of the different variants, an illustrated list of known nose art applied to F-82s, and an entry of losses suffered in the Korean War. All these additional details bring new points of interest to the popular Images of War format, making for a richer, more informative reading experience.

Focussing on an overlooked type, deployed in a conflict often side-lined within mainstream war histories, this publication offers a much deserved platform upon which to appreciate this dynamic and immensely interesting aircraft.

This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. Most work in this topic stems from the so-called Witten index that is discussed at length here. The new direction described in these notes is the introduction of `spectral flow beyond the Fredholm case'.Creating a coherent picture of numerous investigations and scattered notions of the past 50 years, this work carefully introduces spectral flow, the Witten index and the spectral shift function and describes their relationship. After the introduction, Chapter 2 carefully reviews Double Operator Integrals, Chapter 3 describes the class of so-called p-relative trace class perturbations, followed by the construction of Krein's spectral shift function in Chapter 4. Chapter 5 reviews the analytic approach to spectral flow, culminating in Chapter 6 in the main abstract result of the book, namely the so-called principal trace formula. Chapter 7 completes the work with illustrations of the main results using explicit computations on two examples: the Dirac operator in Rd, and a differential operator on an interval. Throughout, attention is paid to the history of the subject and earlier references are provided accordingly. The book is aimed at experts in index theory as well as newcomers to the field.

This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. Most work in this topic stems from the so-called Witten index that is discussed at length here. The new direction described in these notes is the introduction of `spectral flow beyond the Fredholm case''.Creating a coherent picture of numerous investigations and scattered notions of the past 50 years, this work carefully introduces spectral flow, the Witten index and the spectral shift function and describes their relationship. After the introduction, Chapter 2 carefully reviews Double Operator Integrals, Chapter 3 describes the class of so-called p-relative trace class perturbations, followed by the construction of Krein''s spectral shift function in Chapter 4. Chapter 5 reviews the analytic approach to spectral flow, culminating in Chapter 6 in the main abstract result of the book, namely the so-called principal trace formula. Chapter 7 completes the work with illustrations of the main results using explicit computations on two examples: the Dirac operator in Rd, and a differential operator on an interval. Throughout, attention is paid to the history of the subject and earlier references are provided accordingly. The book is aimed at experts in index theory as well as newcomers to the field.