Carleman?s Formulas in Complex Analysis: Theory and Applications (Mathematics and Its Applications, 244)

Aizenberg, L.A.

ISBN 10: 0792321219 / ISBN 13: 9780792321217

Verlag: Springer, 1993

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Bestandsnummer des Verkäufers Q-0792321219

Bibliografische Details

• Titel: Carleman?s Formulas in Complex Analysis: Theory and Applications (Mathematics and Its Applications, 244)
• Verlag: Springer
• Erscheinungsjahr: 1993
• Sprache: Englisch
• ISBN-10: 0792321219
• ISBN-13: 9780792321217
• Einband: hardcover
• Zustand: New
• Gewicht: 23 Unzen

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Inhaltsangabe

Integral representations of holomorphic functions play an important part in the classical theory of functions of one complex variable and in multidimensional com­ plex analysis (in the later case, alongside with integration over the whole boundary aD of a domain D we frequently encounter integration over the Shilov boundary 5 = S(D)). They solve the classical problem of recovering at the points of a do­ main D a holomorphic function that is sufficiently well-behaved when approaching the boundary aD, from its values on aD or on S. Alongside with this classical problem, it is possible and natural to consider the following one: to recover the holomorphic function in D from its values on some set MeaD not containing S. Of course, M is to be a set of uniqueness for the class of holomorphic functions under consideration (for example, for the functions continuous in D or belonging to the Hardy class HP(D), p ~ 1).