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Books in Number theory

Banach Algebra Techniques in Operator Theory
1st Edition
Volume 49
English
Measure and Integration Theory on Infinite-Dimensional Spaces
Abstract harmonic analysis
1st Edition
Volume 48
English
Introduction to Compact Transformation Groups
1st Edition
Volume 46
English
Connections, Curvature, and Cohomology V1
De Rham cohomology of manifolds and vector bundles
1st Edition
Volume 47A
English
Integral Matrices
1st Edition
Volume 45
English
Ring Theory
1st Edition
Volume 44
English
Multiplicative Theory of Ideals
1st Edition
Volume 43
English
An Introduction to Transform Theory
1st Edition
Volume 42
English
Theory of H[superscript p] spaces
1st Edition
Volume 38
English
The theory of HP spaces has its origins in discoveries made forty or fifty years ago by such mathematicians as G. H. Hardy, J. E. Littlewood, I. I. Privalov, F. and M. Riesz, V. Smirnov, and G. Szego. Most of this early work is concerned with the properties of individual functions of class HP, and is classical in spirit. In recent years, the development of functional analysis has stimulated new interest in the HP classes as linear spaces. This point of viewhas suggested a variety of natural problems and has provided new methods of attack, leading to important advances in the theory. This book is an account of both aspects of the subject, the classical and the modern. It is intended to provide a convenient source for the older parts of the theory (the work of Hardy and Littlewood, for example), as well as to give a self-contained exposition of more recent developments such as Beurling’s theorem on invariant subspaces, the Macintyre-Rogosinski... theory of extremal problems, interpolation theory, the dual space structure of HP with p < 1, HP spaces over general domains, and Carleson’s proof of the corona theorem. Some of the older results are proved by modern methods. In fact, the dominant theme of the book is the interplay of “ hard” and “ soft” analysis, the blending of classical and modern techniques and viewpoints.
Dimension Theory
1st Edition
Volume 37
English
Infinite Abelian Groups
1st Edition
Volume 1
English
Distributions and Fourier Transforms
1st Edition
Volume 32
English
Diophantine equations
1st Edition
Volume 30
English
Cohomology of groups
1st Edition
Volume 34
English
Critical Point Theory in Global Analysis and Differential Topology
An introduction
1st Edition
Volume 33
English
Complex function theory
1st Edition
Volume 28
English
Topological Vector Spaces, Distributions and Kernels
1st Edition
Volume 25
English
Resolution of Singularities of Embedded Algebraic Surfaces
1st Edition
Volume 24
English
Introduction to the Theory of Algebraic Numbers and Fuctions
1st Edition
Volume 23
English
Topology
1st Edition
Volume 19
English
Theory of Categories
1st Edition
Volume 17
English
Point Set Topology
1st Edition
Volume 16
English
Local analytic geometry
1st Edition
Volume 14
English
Differential geometry and symmetric spaces
1st Edition
Volume 12
English
Homotopy Theory
1st Edition
Volume 8
English
Fundamental concepts of algebra
1st Edition
Volume 7
English
Linear algebra and projective geometry
1st Edition
Volume 2
English
Partial Differential Equations in Physics
1st Edition
Volume 1
English
The topic with which I regularly conclude my six-term series of lectures in Munich is the partial differential equations of physics. We do not really deal with mathematical physics, but with physical mathematics; not with the mathematical formulation of physical facts, but with the physical motivation of mathematical methods. The oftmentioned “prestabilized harmony” between what is mathematically interesting and what is physically important is met at each step and lends an esthetic - I should like to say metaphysical -- attraction to our subject. The problems to be treated belong mainly to the classical matherhatical literature, as shown by their connection with the names of Laplace, Fourier, Green, Gauss, Riemann, and William Thomson. In order to show that these methods are adequate to deal with actual problems, we treat the propagation of radio waves in some detail in Chapter VI.