By Einar Hille (auth.), P. L. Butzer, J.-P. Kahane, B. Szökefalvi-Nagy (eds.)

These lawsuits comprise the lectures awarded on the convention on Linear Operators and Approximation held on the Oberwolfach Mathematical examine In­ stitute, August 14-22, 1971. there have been thirty-eight such lectures whereas 4 addi­ tional papers, therefore submitted in writing, also are integrated during this quantity. of the 3 lectures provided via Russian mathematicians are rendered in English, the 3rd in Russian. in addition, there's areport on new and unsolved difficulties established upon unique challenge periods, with later communications from the contributors. actually, of the papers inc1uded are dedicated to options of a few of the issues posed. The papers were labeled based on material into 5 chapters, however it wishes little emphasis that such thematic groupings are inevitably a little arbitrary. therefore bankruptcy I on Operator conception is anxious with linear and non­ linear semi-groups, constitution of unmarried operators, unitary operators, spectral and ergodic concept. bankruptcy Il on themes in sensible research inc1udes papers on Riesz areas, boundedness theorems, generalized limits, and distributions. bankruptcy III, entitled "Approximation in summary Spaces", levels from characterizations of c1asses of services in approximation thought to approximation-theoretical subject matters hooked up with extensions to Banach (or extra common) areas. bankruptcy IV includes papers on harmonic research in reference to approximation and, eventually, bankruptcy V is dedicated to approximation via splines, algebraic polynomials, rational services, and to Pade approximation. a wide a part of the final editorial paintings attached with those complaints was once properly dealt with by means of pass over F. Feber, whereas G.