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- W4384133639 abstract "Let D be a connected bounded domain in ℝ2, S be its boundary which is closed, connected and smooth or S = (-∞,∞). Let , f∈L1(S), z = x+iy. The singular integral operator , t∈S, is defined in a new way. This definition simplifies the proof of the existence of Φ(t). Necessary and sufficient conditions are given for f∈L1(S) to be boundary value of an analytic in D function. The Sokhotsky-Plemelj formulas are derived for f∈L1(S). Our new definition allows one to treat singular boundary values of analytic functions." @default.
- W4384133639 created "2023-07-14" @default.
- W4384133639 creator A5033999178 @default.
- W4384133639 date "2023-07-01" @default.
- W4384133639 modified "2023-09-24" @default.
- W4384133639 title "New definition of singular integral operator" @default.
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- W4384133639 doi "https://doi.org/10.17352/amp.000087" @default.
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