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On the characteristic values of linear integral equations
- Source :
- Acta Math. 57 (1931), 1-76
- Publication Year :
- 1931
- Publisher :
- Institut Mittag-Leffler, 1931.
-
Abstract
- on the basis of the general analytic properties of the kernel K (x, ~) such as im tegrability, continuity, differentiability, analyticity and the like? The l i tera ture where this and analogous questions are t rea ted is v e r y considerable [HELLI~G~n-To~eLITZ, I]. ~ A relatively small par t of this l i terature, however, has points of contact with the present paper, the discussion of the majori ty of papers published on the subject being based on various special properties of the kernels. I t is assumed frequent ly tha t the kernel belongs to some special class of functions, or tha t it coincides with the Green 's funct ion of a different ial or integro-differential boundary value problem. Problems of this sort will be excluded f rom the scope of our paper a l though they are in teres t ing f rom a theoret ical point of view and impor tan t for the applications.
- Subjects :
- Pure mathematics
Multidisciplinary
Basis (linear algebra)
General Mathematics
Multiple integral
Riemann integral
Summation equation
Special class
Volterra integral equation
Integral equation
Fourier integral operator
symbols.namesake
Improper integral
symbols
Differentiable function
Boundary value problem
Mathematics
Kernel (category theory)
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Acta Math. 57 (1931), 1-76
- Accession number :
- edsair.doi.dedup.....ac11c986287393baec5dcff26f13226b