Pseudodifferential Operators with Applications : Lectures Given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Bressanone (Bolzano), Italy, June 16-24, 1977

A. Dynin: Pseudo-differential operators on Heisenberg groups.- A. Dynin: An index formula for elliptic boundary problems.- G.I. Eskin: General mixed boundary problems for elliptic differential equations.- B. Helffer: Hypoellipticité pour des opérateurs différentiels sur des groupes de Lie nilpotents.- J.J. Kohn: Lectures on degenerate elliptic problems.- K. Taira: Conditions nécessaires et suffisantes pour l’existence et l’unicité des solutions du problème de la dérivée oblique.- F. Treves: Boundary value problems for elliptic equations. Front Matter....Pages i-iii Pseudo-Differential Operators on Heisenberg Groups....Pages 5-18 An Index Formula for Elliptic Boundary Problems....Pages 19-30 General Mixed Boundary Problems for Elliptic Differential Equations....Pages 31-72 Hypoellipticite pour des Operateurs Differentiels sur des Groupes de Lie Nilpotents....Pages 73-88 Lectures on Degenerate Elliptic Problems....Pages 89-151 Conditions Necessaires et Suffisantes pour L'Existence et L'Unicite des Solutions du Probleme de la Derivee Oblique....Pages 153-162 Boundary Value Problems for Elliptic Equations....Pages 163-244 Many mathematicians from all over the world have been involved in a way or another in CI. MEs activities over the years. The main purpose and mode of functioning of the Centre may be summarised as follows: every year, during the summer, sessions on different themes from pure and applied mathematics are offered by application to mathematicians from all countries. A Session is generally based on three or four main courses given by specialists of international renown, plus a certain number of seminars, and is held in an attractive rural location in Italy A. Dynin: Pseudo-differential operators on Heisenberg groups.- A. Dynin: An index formula for elliptic boundary problems.- G.I. Eskin: General mixed boundary problems for elliptic differential equations.- B. Helffer: Hypoellipticite pour des operateurs differentiels sur des groupes de Lie nilpotents.- J.J. Kohn: Lectures on degenerate elliptic problems.- K. Taira: Conditions necessaires et suffisantes pour l'existence et l'unicite des solutions du probleme de la derivee oblique.- F. Treves: Boundary value problems for elliptic equations The aim of a C.I.M.E. session is to bring to the attention of younger researchers the origins, development, and perspectives of some very active branch of mathematical research. The topics of the courses are generally of international resonance. The full immersion atmosphere of the courses and the daily exchange among participants are thus an initiation to international collaboration in mathematical research. --Book Jacket C.I.M.E. stands for Centro Internazionale Matematico Estivo, that is, international Mathematical Summer Centre. Conceived in the early fifties, it was born in 1954 in Florence, Italy, and welcomed by the world mathematical community: it continues successfully, year for year, to this day