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Algebraic Geometry II
This two-part volume contains numerous examples and insights on various topics. The authors have taken pains to present the material rigorously and coherently. This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields.
Commutative Harmonic Analysis II
Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with calculus. Created in the 18th and 19th centuries as a distinct mathematical discipline it continued to develop, conquering new unexpected areas and producing impressive applications to a multitude of problems. It is widely understood that the explanation of this miraculous power stems from group theoretic ideas underlying practically everything in harmonic analysis. This book is an unusual combination of the general and abstract group theoretic approach with a wealth of very concrete topics attractive to everybody interested in mathematics. Mathematical literature on harmonic analysis abounds in books of more or less abstract or concrete kind, but the lucky combination as in this volume can hardly be found.
Holomorphic Spaces
Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.
Operators and Function Theory
In the modern study of Hilbert space operators there has been an increasingly subtle involvement with analytic function theory. This is evident in the analysis of subnormal operators, Toeplitz operators and Hankel operators, for example. On the other hand the operator theoretic viewpoint of interpolation by analytic functions is a powerful one. There has been significant activity in recent years, within these enriching interactions, and the time seemed right for an overview ot the main lines of development. The Advanced Study Institute 'Operators and Function Theory' in Lancaster, 1984, was devoted to this, and this book contains ex panded versions (and one contraction) of the main lecture p...
Slavic Cultures in the Middle Ages
The acceptance of Christianity in the tenth century is the most significant cultural event in the history of modern Russia, Ukraine, and Belarus. A vast reservoir of cultural concepts, expressions, and iconographic images has developed within the Eastern Orthodox tradition, and now Slavic specialists, theologians, historians, and literary scholars can turn to a collection which examines the majestic sweep of a thousand years of Slavic Christianity. This three-volume collection brings together essays from two international conferences. The present volume explores the history and influence of Christianization from the tenth to the seventeenth century. Volume II will examine cultural history fr...
Christianity and the Eastern Slavs, Volume I
This publication in three volumes originated in papers delivered at two conferences held in May 1988 at the University of California, Berkeley, and the Kennan Institute for Advanced Russian Studies in Washington, DC. Like many other conferences organized that year in the United States, Europe, and the Soviet Union, they were convened to commemorate the millennium of the acceptance of Christianity in Rus'. This collection of essays throws light on the enormous, truly unique role that the Christian tradition has played throughout the centuries in shaping the nations that spring from Kievan Rus'—the Russians, Ukrainians, and Belorussians. Although these volumes devote greater attention to Rus...
California Slavic Studies, Volume XVI
This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1993.
Sampling Theory in Fourier and Signal Analysis
With much material not previously found in book form, this book fills a gap by discussing the equivalence of signal functions with their sets of values taken at discreet points comprehensively and on a firm mathematical ground. The wide variety of topics begins with an introduction to the main ideas and background material on Fourier analysis and Hilbert spaces and their bases. Other chapters discuss sampling of Bernstein and Paley-Wiener spaces; Kramer's Lemma and its application to eigenvalue problems; contour integral methods including a proof of the equivalence of the sampling theory; the Poisson summation formula and Cauchy's integral formula; optimal regular, irregular, multi-channel, multi-band and multi-dimensional sampling; and Campbell's generalized sampling theorem. Mathematicians, physicists, and communications engineers will welcome the scope of information found here.
