This book is devoted to an exposition of the theory of polynomially convex sets.Acompact N subset of C is polynomially convex if it is de?ned by a family, ?nite or in?nite, of polynomial inequalities. These sets play an important role in the theory of functions of several complex variables, especially in questions concerning approximation. On the one hand, the present volume is a study of polynomial convexity per se, on the other, it studies the application of polynomial convexity to other parts of complex analysis, especially to approximation theory and the theory of varieties. N Not every...
This book is devoted to an exposition of the theory of polynomially convex sets.Acompact N subset of C is polynomially convex if it is de?ned by a fam...
The Jacobi group is a semidirect product of a symplectic group with a Heisenberg group. It is an important example for a non-reductive group and sets the frame within which to treat theta functions as well as elliptic functions in particular, the universal elliptic curve.
This text gathers for the first time material from the representation theory of this group in both local (archimedean and non-archimedean) cases and in the global number field case. Via a bridge to Waldspurger's theory for the metaplectic group, complete classification theorems for irreducible representations are obtained....
The Jacobi group is a semidirect product of a symplectic group with a Heisenberg group. It is an important example for a non-reductive group and sets ...
This book is devoted to a study of the unit groups of orders in skew fields, finite dimensional and central over the rational field; it thereby belongs to the field of noncommutative arithmetic. Its purpose is a synopsis of results and methods, including full proofs of the most important results. It is addressed to researchers in number theory and arithmetic groups.
This book is devoted to a study of the unit groups of orders in skew fields, finite dimensional and central over the rational field; it thereby belong...
A four-day conference, "Functional Analysis on the Eve of the Twenty First Century," was held at Rutgers University, New Brunswick, New Jersey, from October 24 to 27, 1993, in honor of the eightieth birthday of Professor Israel Moiseyevich Gelfand. He was born in Krasnye Okna, near Odessa, on September 2, 1913. Israel Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped to shape our understanding of the term "functional analysis" itself, as has the celebrated journal Functional Analysis and...
A four-day conference, "Functional Analysis on the Eve of the Twenty First Century," was held at Rutgers University, New Brunswick, New Jersey, from O...
Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository and research articles on new developments arising from Manin s outstanding contributions to mathematics. Contributors in the second volume: M. Harris D. Kaledin M. Kapranov N.M. Katz R.M. Kaufmann J. Kollar M. Kontsevich M. Larsen M. Markl L. Merel S.A. Merkulov M.V. Movshev E. Mukhin J. Nekovar V.V. Nikulin O. Ogievetsky F. Oort D. Orlov A. Panchishkin I. Penkov A. Polishchuk P. Sarnak V. Schechtman V. Tarasov A.S. Tikhomirov J. Tsimerman K. Vankov A. Varchenko A. Vishik A.A. Voronov Yu. Zarhin...
Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository and research articles on new developments arising f...
Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository articles and new developments extending from Yuri I. Manin s outstanding contributions to algebra, algebraic geometry, number theory, algorithmic complexity, noncommutative geometry and mathematical physics.
Among Manin s numerous achievements are the proof of the functional analogue of the Mordell conjecture, the theory of Gauss--Manin connection, the proof with V. Iskovskikh of the nonrationality of smooth quartic threefolds, the theory of $p$-adic automorphic functions, and the...
Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository articles and new developments extending from Yu...
Riemannian Topology and Structures on Manifolds results from a similarly entitled conference held on the occasion of Charles P. Boyer s 65th birthday. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kahler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory. Focusing on these fundamental ideas, this collection presents review articles, original results, and open problems of interest. "
Riemannian Topology and Structures on Manifolds results from a similarly entitled conference held on the occasion of Charles P. Boyer s 65th birthd...
D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics.
To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve...
D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and rep...
Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more geometric character.
"Fourier Mukai and Nahm Transforms in Geometry and Mathematical Physics" examines the algebro-geometric approach (Fourier Mukai functors) as well as the differential-geometric constructions (Nahm). Also included is a...
Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three...
A mathematically precise definition of the intuitive notion of "algorithm" was implicit in Kurt Godel's 1931] paper on formally undecidable propo sitions of arithmetic. During the 1930s, in the work of such mathemati cians as Alonzo Church, Stephen Kleene, Barkley Rosser and Alfred Tarski, Godel's idea evolved into the concept of a recursive function. Church pro posed the thesis, generally accepted today, that an effective algorithm is the same thing as a procedure whose output is a recursive function of the input (suitably coded as an integer). With these concepts, it became possible to...
A mathematically precise definition of the intuitive notion of "algorithm" was implicit in Kurt Godel's 1931] paper on formally undecidable propo sit...
