Application to Hankel Type and Multidimensional Integral Equations

Nikolai Karapetiants and Stefan Samko
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Nikolai Karapetiants: Rostov State University, Department of Mathematics
Stefan Samko: Universidade do Algarve, Faculdade de Ciências e Tecnologia

Chapter 7 in Equations with Involutive Operators, 2001, pp 339-393 from Springer

Abstract: Abstract In this chapter we give applications of our general approach in situations which required, to a certain extent, more effort to arrive at effective and constructive final results while realizing the general scheme. This is, first of all, the convolution type equation (34.1), (34.2), see below. The chapter concludes with applications to multidimensional integral equations of convolution type with involutive linear shifts in Euclidean space and equations with homogeneous kernels including terms with the shift 34.1 $$ \alpha (x) = \frac{x} {{|x|^2 }},x \in R^n . $$

Keywords: Essential Spectrum; Convolution Operator; Singular Operator; Partial Index; Homogeneous Kernel (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0183-0_7

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DOI: 10.1007/978-1-4612-0183-0_7

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