Chegolin, Andrei P.; Nogin, Vladimir A. Integral transforms related to complex powers of the generalized Schrödinger operator. (English) Zbl 1103.47037 Integral Transforms Spec. Funct. 17, No. 6, 409-420 (2006). Reviewer: Stefan G. Samko (Faro) MSC: 47G30 46E35 26A33 47F05 31B15 45P05 PDFBibTeX XMLCite \textit{A. P. Chegolin} and \textit{V. A. Nogin}, Integral Transforms Spec. Funct. 17, No. 6, 409--420 (2006; Zbl 1103.47037) Full Text: DOI
Karasev, Denis N.; Nogin, Vladimir A. On the boundedness of some potential-type operators with oscillating kernels. (English) Zbl 1081.47051 Math. Nachr. 278, No. 5, 554-574 (2005). Reviewer: Boris Rubin (Baton Rouge) MSC: 47G10 46E35 26A33 31B15 42B20 PDFBibTeX XMLCite \textit{D. N. Karasev} and \textit{V. A. Nogin}, Math. Nachr. 278, No. 5, 554--574 (2005; Zbl 1081.47051) Full Text: DOI
Karasev, Denis N.; Nogin, Vladimir A. Description of the ranges of some potential-type operators with oscillating kernels in the non-elliptic case. (English) Zbl 1052.47045 Fract. Calc. Appl. Anal. 5, No. 3, 315-349 (2002). Reviewer: Dagmar Medková (Praha) MSC: 47G10 46E35 26A33 31B15 PDFBibTeX XMLCite \textit{D. N. Karasev} and \textit{V. A. Nogin}, Fract. Calc. Appl. Anal. 5, No. 3, 315--349 (2002; Zbl 1052.47045)
Karasev, Denis N.; Nogin, Vladimir A. Inversion of some potential-type operators with oscillating kernels in the elliptic and non-elliptic cases. (English) Zbl 1024.31002 Integral Transforms Spec. Funct. 13, No. 6, 529-545 (2002). Reviewer: Stefan G.Samko (Faro) MSC: 31B15 46E35 46N20 26A33 PDFBibTeX XMLCite \textit{D. N. Karasev} and \textit{V. A. Nogin}, Integral Transforms Spec. Funct. 13, No. 6, 529--545 (2002; Zbl 1024.31002) Full Text: DOI
Chegolin, Andrei P.; Nogin, Vladimir A. Multidimensional potential integral transforms and description of \(\mathcal L\)-characteristic of multiplier operators. (English) Zbl 1034.47017 Integral Transforms Spec. Funct. 13, No. 3, 193-197 (2002). Reviewer: George O. Okikiolu (London) MSC: 47G10 26A33 47B38 46E30 31B10 31B15 PDFBibTeX XMLCite \textit{A. P. Chegolin} and \textit{V. A. Nogin}, Integral Transforms Spec. Funct. 13, No. 3, 193--197 (2002; Zbl 1034.47017) Full Text: DOI
Abramyan, A.; Nogin, V.; Samko, S. Fractional powers of the operator \(-|x|^2\Delta\) in \(L_p\)-spaces. (English) Zbl 0994.26006 Proc. A. Razmadze Math. Inst. 124, 1-22 (2000). Reviewer: Boris Rubin (Jerusalem) MSC: 26A33 31B10 47B38 42B15 PDFBibTeX XMLCite \textit{A. Abramyan} et al., Proc. A. Razmadze Math. Inst. 124, 1--22 (2000; Zbl 0994.26006)
Abramyan, Anna V.; Nogin, Vladimir A. Integral transforms, connected with fractional powers of nonhomogeneous differential operators in \(L_ p\)-spaces. (English) Zbl 0853.44003 Integral Transforms Spec. Funct. 2, No. 1, 1-14 (1994). MSC: 44A15 26A33 35A22 31B10 47B38 47G10 PDFBibTeX XMLCite \textit{A. V. Abramyan} and \textit{V. A. Nogin}, Integral Transforms Spec. Funct. 2, No. 1, 1--14 (1994; Zbl 0853.44003) Full Text: DOI
Nogin, V. A. Inversion of Bessel potentials by means of hypersingular integrals. (English. Russian original) Zbl 0654.42021 Sov. Math. 29, 73-83 (1985); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1985, No. 3, 57-65 (1985). MSC: 42B20 31B99 26A33 PDFBibTeX XMLCite \textit{V. A. Nogin}, Sov. Math. 29, No. 3, 73--83 (1985; Zbl 0654.42021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1985, No. 3, 57--65 (1985)
Nogin, V. A. Inversion of Bessel potentials by means of hypersingular integrals. (Russian) Zbl 0619.42010 Izv. Vyssh. Uchebn. Zaved., Mat. 1985, No. 3(274), 57-65 (1985). Reviewer: Yu.Ljubarsky MSC: 42B20 31B99 26A33 PDFBibTeX XMLCite \textit{V. A. Nogin}, Izv. Vyssh. Uchebn. Zaved., Mat. 1985, No. 3(274), 57--65 (1985; Zbl 0619.42010)