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Israel Gohberg and friends: On the occasion of his 80th by Harm Bart, Thomas Hempfling, Marinus Kaashoek

By Harm Bart, Thomas Hempfling, Marinus Kaashoek

This publication is devoted to Israel Gohberg infrequently of his eightieth birthday on August 23, 2008. it's an expression of esteem and friendship for a very good mathematician, a awesome individual and an inspiring colleague. The ebook comprises reflections through Gohberg himself on his personal mathematical actions and people of others. it is usually contributions of affiliates and associates, either from his time within the Soviet Union and from whilst he lived and labored within the West. The contributions in query should not mathematical study papers yet concentrate on the fellow Israel Gohberg and are meant for a large viewers. To be discovered are letters, speeches, laudatios and memories which, jointly, current an enticing photograph of how during which Israel Gohberg long ago 4 to 5 a long time motivated the lives of many mathematicians. Biographical fabric akin to a curriculum vitae, an inventory of courses, an inventory of Ph.D. scholars and data approximately honorary doctoral levels is usually included.

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It is a difficult and important part of the work. This choice is strongly based on our intuition, experience, mathematical taste and our demands. My aim was to share with you my thoughts and my experience. Finally I would like to describe in short three papers. They are three isolated papers, not very difficult but very important in the development of operator theory. I have in mind the following three wonderful papers. I. Fredholm, Sur une classe d’equations functionelles, Acta Mathematics, 27; ¨ 1903, 365–390.

Interests. It was while he was helping us with the book that we first met. In Voronezh there was a strong school of functional analysis and we felt dose to this group. Members of the department and our students oft en participated in the famous mathematical winter schools in the neighbourhood of Voronezh. A. D. I. Vishik and many times later. V. Maslennikov Moscow), a well known expert in transport equations. Some of these equations can be transformed into Wiener-Hopf equations. A. Feldman especially so.

Namely first find the primitive of the function of integration and then the integral is equal to the difference of the values of the primitive function in the end points of the interval. So the problem is really beautifully solved and research is going ahead in this direction. In fact this is possible only if the primitive can be found, but if not, this solution does not solve anything. Such a situation happens in many cases. Some well defined new notion or reduction helps to claim that a problem is solved.

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