贫困
发表于 2025-3-26 21:26:26
Book 1993l 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).
microscopic
发表于 2025-3-27 02:51:33
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审问
发表于 2025-3-27 05:40:45
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rectocele
发表于 2025-3-27 10:04:34
https://doi.org/10.1007/978-3-642-41461-9uct .(.) in . from its values not on the whole boundary . as in (1.1) but on . ⊂ . only. Applying a simple, but very fruitful idea of Carleman we construct a “.” ., enabling us to eliminate in (1.1) integration over . ..
JOT
发表于 2025-3-27 14:48:15
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Carcinoma
发表于 2025-3-27 18:16:52
One-Dimensional Carleman Formulasuct .(.) in . from its values not on the whole boundary . as in (1.1) but on . ⊂ . only. Applying a simple, but very fruitful idea of Carleman we construct a “.” ., enabling us to eliminate in (1.1) integration over . ..
好忠告人
发表于 2025-3-28 01:52:08
Computing Experiment(. -2 -2.). ,belonging to the Hardy class . ,and points . from the interval . For functions of this class formula (30.4) (with . instead of -.) is true for 0 < . ≤ 2. It turned out that with . -1/2, . = 22 the function . could be analytically continued with good accuracy (error less than 0.1) from onto .
祝贺
发表于 2025-3-28 02:57:10
https://doi.org/10.1007/978-3-642-41461-9d the half-circle becomes the two rays [-∞, -.] and [., +∞]. Now the problem of analytic continuation to the upper half-plane of a function .(.) given in the “physical” energy domain between [-∞, -.] and [., +∞] is equivalent to the problem of analytic continuation to the semi-disk of the function. given on the half-circle.
Adulate
发表于 2025-3-28 07:10:43
9楼
清晰
发表于 2025-3-28 12:11:40
9楼