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A STUDY ON THE POLES AND ZEROES OF STEFANESCU'S RAISED KERNEL FUNCTION
Author(s) -
LOEWENTHAL D.
Publication year - 1975
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1975.tb01542.x
Subject(s) - kernel (algebra) , simple (philosophy) , depth sounding , function (biology) , set (abstract data type) , mathematics , mathematical analysis , geology , pure mathematics , computer science , philosophy , oceanography , epistemology , evolutionary biology , biology , programming language
A bstract The theory of geoelectric sounding exploration is based on Stefanescu's kernel. In order to study the analytic properties of the kernel, necessary and sufficient conditions on it's poles and zeroes are developed. A distinction is made between “physical” and “perfect” models. It is shown that a physical model may be determined from either the set of poles or the set of zeroes of the raised kernel function at the top of the model. These roots may be of desired multiplicities. For determining a perfect model, both sets of poles and zeroes are required and they all have to be simple ones.