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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Carleman's Formulas in Complex Analysis: Theory and Applications

Carleman's Formulas in Complex Analysis: Theory and Applications

Aizenberg, L. a.

Hardcover

Series: Mathematics and Its Applications, Book 244

Technology & EngineeringGeneral Mathematics

ISBN10: 0792321219
ISBN13: 9780792321217
Publisher: Springer Nature
Published: Jan 31 1993
Pages: 299
Weight: 1.44
Height: 0.91 Width: 6.52 Depth: 9.58
Language: English
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).

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