6 citations · 7 across the 12 of their papers we have counts for
12 papers
Sets and Classes: Operational Theory
Garth Warner
The purpose of this book is to lay out certain aspects of descriptive set theory. After initially establishing notation and generalities we proceed to the following topics: partiti…
Surfaces and Area
Garth Warner
Here one will find a rigorous treatment of the simplest situation in Surface Area Theory, viz. the nonparametric case with domain the unit square in the plane. This is installment…
Functions of Several Variables
Garth Warner
Apart from an account of classical preliminaries, this volume contains a systematic introduction to Sobolev spaces and functions of bounded variation with selected applications. Th…
Curves and Length
Garth Warner
This is a systematic accounting of the classical theorems of Jordan and Tonelli, as well as an introduction to the theory of the Weierstrass integral which in its definitive form i…
Functions of a Single Variable
Garth Warner
These notes are a chapter in Real Analysis. While primarily standard, the reader will find a discussion of certain topics that are ordinarily not covered in the usual accounts. For…
Periods And Real Numbers
Garth Warner
The purpose of this book is to provide an introduction to period theory and then to place it within the matrix of recursive function theory.
The Exponential World
Garth Warner
In this book there will be found an introduction to transcendental number theory, starting at the beginning and ending at the frontiers. The emphasis is on the conceptual aspects o…
Abelian Theory
Garth Warner
This exposition begins with a systematic account of the theory of group schemes, ultimately specializing to algebraic tori.
Local and Global Analysis
Garth Warner
The objective of this article is to give an introduction to p-adic analysis along the lines of Tate's thesis, as well as incorporating material of a more recent vintage, for exampl…
The Selberg Trace Formula IX: Contribution from the Conjugacy Classes (The Regular Case)
M. Scott Osborne, Garth Warner
This paper initiates a study into the contribution to the trace provided by the conjugacy classes.
Explicit Formulas from the Continuous Spectrum
Scott Osborne, Garth Warner
The purpose of this note is to announce the results of our investigation into the role played by the continuous spectrum in the development of the Selberg trace formula vis-à-vis a…
Topics in Topology and Homotopy Theory
Garth Warner
This book is an account of certain topics in general and algebraic topology. Instead of laying out a synopsis of each chapter, here is a sample of some of what is taken up: 1) Nilp…