INTEGRAL-REPRESENTATION OF THE EVEN POSITIVELY DEFINITE AND CONNECTED WITH THEM FUNCTIONS

被引：0
|
作者：
LOPOTKO, OV [1 ]
机构：
[1] LVOV FOREST TECHNOL INST,LVOV,UKRAINE,USSR
来源：
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI | 1990年 / 10期
关键词：
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Integral representation is obtained for even (in the second variable) bounded functions k(x1,x2) not-member-C (R1xR1) for which the kernel 1/2 [k(x1-y1, x2+y2)+k(x1-y1, x2-y2)] is positively definite. A problem of continuation for the even positively definite and connected with them functions k(x1,x2) from the region L = (-2d1,2d1)x R1(0 < d1 < infinity) to the whole plane R1xR1 is examined.
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页码：24 / 27
页数：4
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