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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1968 Volume 4, Issue 5, Pages 569–578 (Mi mzm6776)

The Nevalinna-Pick problem with supplementary conditions

A. A. Nudelman

Odessa Structural Engineering Institute

Abstract: Methods used in the $L$-problem, generalized to apply to several intervals, are employed in finding criteria for the existence and uniqueness of Solutions of the Nevalinna-Pick problem (for the upper half-plane) under the supplementary conditions: the interpolating function is holomorphic, real, and of constant sign on given intervals on the real axis.

UDC: 517.5

Received: 11.09.1967


 English version:
Mathematical Notes, 1968, 4:5, 832–837

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