Product Description
This is a collection of research papers based on the talksgiven at the NATO Advanced Research Workshop held at Chateau deBonas in France in July of 1993 and approved for publication by apanel of referees. The contributions are by some of the most prominentand active research workers in the subject from the NATO countries anda limited number of selected invitees from the rest of themathematical world. The workshop brought together mathematicians doingwork in the classical and the modern aspects of the subject for mutualinteraction, and the articles in the volume bear evidence to thisfact. This is a valuable book for all the mathematicians with researchinterest in potential theory. There are 33 research papers on several aspects of the currentresearch in potential theory. Besides the latest research work of someof the most prominent and respected researchers in the subject, itcontains a very valuable and thoroughly researched article on the meanvalue property of harmonic functions by I. Netuka and J. Vesely. Thearticle by T. Murai on ozone depletion and its study through certaindifferential equations is very topical and undoubtedly of greatinterest to many. The volume also contains a large number ofstate-of-the-art research problems posed by the participants at theworkshop. ... Read more

Product Description
ICPT91, the International Conference on Potential Theory, washeld in Amersfoort, the Netherlands, from August 18--24, 1991. The volume consists of two parts, the first of which contains paperswhich also appear in the special issue ofPOTENTIAL ANALYSIS.The second part includes a collection of contributions edited andpartly produced in Utrecht. Professor Monna wrote a prefacereminiscing about his experiences with potential theory, mathematicsand mathematicians during the last sixty years. The final pagescontain a list of participants and a compact index. ... Read more

Product Description
M. Brelot: Historical introduction.- H. Bauer: Harmonic spaces and associated Markov processes.- J.M. Bony: Opérateurs elliptiques dégénérés associés aux axiomatiques de la theorie du potentiel.- J. Deny: Méthodes hilbertiennes en theory du potentiel.- J.L. Doob: Martingale theory – Potential theory.- G. Mokobodzki: Cônes de potentiels et noyaux subordonnés. ... Read more

Product Description
Recent years have witnessed an increasingly close relationshipgrowing between potential theory, probability and degenerate partialdifferential operators. The theory of Dirichlet (Markovian) forms onan abstract finite or infinite-dimensional space is common to allthree disciplines. This is a fascinating and important subject,central to many of the contributions to the conference on `PotentialTheory and Degenerate Partial Differential Operators', held in Parma,Italy, February 1994. ... Read more

Product Description
This volume gathers the contributions from top-notch mathematicians such as Samuel Krushkal, Reiner Kuhnau, Chung Chun Yang, Vladimir Miklyukov and others. It will help researchers solve problems on complex analysis and potential theory and discusses various applications in engineering. The contributions also update the reader on recent developments in the field. ... Read more

Product Description
This monograph covers Poisson-Szegö integralson the ball, the Green's function for ^D*D and the Riesz decomposition theorem for invariant subharmonic functions. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem on the existence of radial limits of subharmonic functions are covered in detail. It also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Greens potentials. Applications of some of the results to Hp spaces, and weighted Bergman and Dirichlet spaces of invariant harmonic functions are included. ... Read more