Strakhov, V. N. On the solution of integral equations by the method of integral transform. (English. Russian original) Zbl 0198.44801 Sib. Math. J. 10(1969), 1034-1042 (1970); translation from Sib. Mat. Zhurn. 10, 1395-1405 (1969). MSC: 45A05 Linear integral equations 44A35 Convolution as an integral transform 44A10 Laplace transform 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type Keywords:integral equations, integral transforms Citations:Zbl 0197.09001 PDFBibTeX XMLCite \textit{V. N. Strakhov}, Sib. Math. J. 10, 1034--1042 (1970; Zbl 0198.44801); translation from Sib. Mat. Zhurn. 10, 1395--1405 (1969) Full Text: DOI References: [1] E. Titchmarsh, Introduction to the Theory of the Fourier Integral [Russian translation], IL, Moscow (1948). · Zbl 0031.03202 [2] I. Sneddon, Fourier Transforms [Russian translation], IL, Moscow (1955). [3] V. A. Ditkin and A. P. Prudnikov, Integral Transforms and Operational Calculus [in Russian], Fizmatgiz, Moscow (1961). · Zbl 0133.06202 [4] A. N. Tikhonov, ?On the solution of some ill-posed problems and a method of regularization,? Dokl. Akad. Nauk SSSR,151, No. 3, 501-504 (1963). [5] A. N. Tikhonov, ?On the regularization of ill-posed problems? Dokl. Akad. Nauk SSSR, No. 1, 49-52 (1963). [6] V. K. Ivanov, ?On uniform rogularization of unstable problems? Sibirsk. Matem. Zh.,7, No. 3, 546-558 (1966). [7] M. M. Lavrent’ev and V. G. Vasil’ev, ?On the formulation of some ill-posed problems of mathematical physics,? Sibirsk. Matem. Zh.,7, No. 3, 559-576 (1966). [8] N. N. Lebedev, Special Functions and Some of Their Applications [in Russian], Gostoptekhizdat, Moscow (1954). [9] V. A. Fok, ?On the representation of an arbitrary function by an integral involving Legendre’s functions with a complex index,? Dokl. Akad. Nauk SSSR,39, 379-383 (1943). [10] I. M. Ryzhik and I. S. Gradshtein, Tables of Integrals, Sums, Series and Products [in Russian], 2nd Edition, Fizmatgiz, Moscow (1962). [11] M. M. Lavrent’ev, ?On some ill-posed problems of mathematical physics,? Izd-vo SO Akad. Nauk SSSR, Novosibirsk (1962). [12] A. B. Bakushinskii, ?On a numerical, method for the solution of Fredholm integral equations of the 1st kind,? Sb. ?Vychislitel’nye metody i programmirovanie,? Izd.-vo MGU, No. 5 (1966). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.