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The interplay between analysis on Lie groups and the theory of special functions is well known. This book deals with the case of the Heisenberg group and the related expansions in terms of Hermite, special Hermite, and Laguerre functions. It develops Littlewood-Paley-Stein theory for the expansions and uses the theory to prove multiplier theorems.

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(Paperback)

These are notes of lectures given at Princeton University during the fall semester of 1969. The notes present an introduction to p-adic L-functions originated in Kubota-Leopoldt {10} as p-adic analogues of classical L-functions of Dirichlet.

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The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevan

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A sequel to Lectures on Riemann Surfaces (Mathematical Notes, 1966), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann surfaces. Whereas the earlier treatment was limited to results obtainable chiefly by one-dimensional methods, the more detailed analysis pres

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The arithmetic Riemann-Roch Theorem has been shown by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. This book gives an introduction to the necessary techniques, and presents a simplified and extended version of the proof.

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These lectures provide students and specialists with preliminary and valuable information from university courses and seminars in mathematics. This set gives new proof of the h-cobordism theorem that is different from the original proof presented by S. Smale. Originally published in 1965. The Princeton Legacy Library uses the latest print-on-dema

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(Paperback)

Offers an introduction to the mathematical discipline known as the Theory of Games. This book opens by addressing 'matrix games'. It continues with a treatment of games in extensive form and also deals with games that have an infinite number of pure strategies for the two players. It features examples and exercises, and various historical notes.

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The description for this book, Lectures on Vector Bundles over Riemann Surfaces. (MN-6), will be forthcoming.

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A wide variety of problem-solving courts have been developed in the United States and are now being adopted in countries around the world. This book finds that while importers often see themselves as adapting the American courts to suit local conditions, they may actually be taking in more aspects of American law and culture than they realize.

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After a distinguished career as a jurist in Germany, Alfred Oppler came to the United States in 1939, and in 1946 was invited to Tokyo, where he was SCAP's authority on reform of the Japanese legal order to implement the principles of the new Constitution. Here is his account of the legal reforms and the methods used to achieve them. The author des

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Examines the causes and consequences of a major transformation in both domestic and international politics: the shift from dynastically legitimated monarchical sovereignty to popularly legitimated national sovereignty. This book analyzes the impact of Enlightenment discourse on politics in eighteenth-century Europe and the United States.

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(Paperback)

Deploying an arsenal of methods from a range of social sciences rarely combined, the author mounts a forceful challenge to conventional wisdom. He begins by building a formal, game-theoretic model of lending credibility, which he then subjects to sophisticated quantitative testing on original data from twenty-six countries over the 1990s.

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(Paperback)

This study shows how Lenin's life was permanently altered at the age of seventeen by the execution of his brother Alexander, his transformation from a model student in secondary school into a revolutionary at the university, his fascination with Chernyshevsky, and his long involvement with the Jacobin wing of the revolutionary movement. Originally