TY - JOUR AU - Aliev, I. A. PY - 1999 DA - 1999// TI - On the Bochner–Riesz summability and restoration of μ-smooth functions by means of their Fourier transforms JO - Fract. Calc. Appl. Anal. VL - 2 ID - Aliev1999 ER - TY - JOUR AU - Aliev, I. A. PY - 2009 DA - 2009// TI - Bi-parametric potentials, relevant function spaces and wavelet-like transforms JO - Integral Equ. Oper. Theory VL - 65 UR - https://doi.org/10.1007/s00020-009-1707-9 DO - 10.1007/s00020-009-1707-9 ID - Aliev2009 ER - TY - JOUR AU - Aliev, I. A. AU - Çobanoğlu, S. PY - 2014 DA - 2014// TI - The rate of convergence of truncated hypersingular integrals generated by the Poisson and metaharmonic semigroups JO - Integral Transforms Spec. Funct. VL - 25 UR - https://doi.org/10.1080/10652469.2014.940581 DO - 10.1080/10652469.2014.940581 ID - Aliev2014 ER - TY - JOUR AU - Aliev, I. A. AU - Eryigit, M. PY - 2002 DA - 2002// TI - Inversion of Bessel potentials with the aid of weighted wavelet transforms JO - Math. Nachr. VL - 242 UR - https://doi.org/3.0.CO;2-D DO - 3.0.CO;2-D ID - Aliev2002 ER - TY - JOUR AU - Aliev, I. A. AU - Eryigit, M. PY - 2013 DA - 2013// TI - On a rate of convergence of truncated hypersingular integrals associated to Riesz and Bessel potentials JO - J. Math. Anal. Appl. VL - 406 UR - https://doi.org/10.1016/j.jmaa.2013.04.078 DO - 10.1016/j.jmaa.2013.04.078 ID - Aliev2013 ER - TY - JOUR AU - Aliev, I. A. AU - Rubin, B. PY - 2005 DA - 2005// TI - Wavelet-like transforms for admissible semi-groups; inversion formulas for potentials and Radon transforms JO - J. Fourier Anal. Appl. VL - 11 UR - https://doi.org/10.1007/s00041-005-4034-9 DO - 10.1007/s00041-005-4034-9 ID - Aliev2005 ER - TY - JOUR AU - Aliev, I. A. AU - Sezer, S. AU - Eryigit, M. PY - 2006 DA - 2006// TI - An integral transform associated to the Poisson integral and inversion of Flett potentials JO - J. Math. Anal. Appl. VL - 321 UR - https://doi.org/10.1016/j.jmaa.2005.08.086 DO - 10.1016/j.jmaa.2005.08.086 ID - Aliev2006 ER - TY - JOUR AU - Balakrishnan, V. PY - 1960 DA - 1960// TI - Fractional powers of closed operators and the semi-groups generated by them JO - Pac. J. Math. VL - 10 UR - https://doi.org/10.2140/pjm.1960.10.419 DO - 10.2140/pjm.1960.10.419 ID - Balakrishnan1960 ER - TY - JOUR AU - Eryigit, M. AU - Çobanoğlu, S. PY - 2017 DA - 2017// TI - On the rate of Lp$L_{p}$-convergence of Balakrishnan–Rubin-type hypersingular integrals associated to Gauss–Weierstrass semigroup JO - Turk. J. Math. VL - 41 UR - https://doi.org/10.3906/mat-1610-105 DO - 10.3906/mat-1610-105 ID - Eryigit2017 ER - TY - JOUR AU - Fisher, M. J. PY - 1971 DA - 1971// TI - Singular integrals and fractional powers of operators JO - Trans. Am. Math. Soc. VL - 161 UR - https://doi.org/10.1090/S0002-9947-1971-0285935-1 DO - 10.1090/S0002-9947-1971-0285935-1 ID - Fisher1971 ER - TY - JOUR AU - Flett, T. M. PY - 1971 DA - 1971// TI - Temperatures, Bessel potentials and Lipschitz spaces JO - Proc. Lond. Math. Soc. VL - 3 UR - https://doi.org/10.1112/plms/s3-22.3.385 DO - 10.1112/plms/s3-22.3.385 ID - Flett1971 ER - TY - BOOK AU - Landkof, N. S. PY - 1972 DA - 1972// TI - Foundations of Modern Potential Theory PB - Springer CY - New York UR - https://doi.org/10.1007/978-3-642-65183-0 DO - 10.1007/978-3-642-65183-0 ID - Landkof1972 ER - TY - JOUR AU - Lizorkin, P. I. PY - 1970 DA - 1970// TI - Characterization of the spaces Lpr(Rn)$L_{p}^{r} ( \mathbb{R}^{n} ) $ in terms of difference singular integrals JO - Mat. Sb. (N.S.) VL - 81 ID - Lizorkin1970 ER - TY - JOUR AU - Nogin, V. A. PY - 1982 DA - 1982// TI - On inversion of Bessel potentials JO - J. Differ. Equ. VL - 18 ID - Nogin1982 ER - TY - JOUR AU - Nogin, V. A. AU - Rubin, B. PY - 1986 DA - 1986// TI - Inversion of parabolic potentials with Lp$L_{p}$-densities JO - Mat. Zametki VL - 39 ID - Nogin1986 ER - TY - JOUR AU - Rubin, B. PY - 1986 DA - 1986// TI - Description and inversion of Bessel potentials by means of hypersingular integrals with weighted differences JO - Differ. Uravn. VL - 22 ID - Rubin1986 ER - TY - JOUR AU - Rubin, B. PY - 1986 DA - 1986// TI - A method of characterization and inversion of Bessel and Riesz potentials JO - Izv. Vysš. Učebn. Zaved., Mat. VL - 30 ID - Rubin1986 ER - TY - JOUR AU - Rubin, B. PY - 1987 DA - 1987// TI - Inversion of potentials on Rn$\mathbb{R}^{n}$ with the aid of Gauss–Weierstrass integrals JO - Math. Notes VL - 41 UR - https://doi.org/10.1007/BF01159524 DO - 10.1007/BF01159524 ID - Rubin1987 ER - TY - BOOK AU - Rubin, B. PY - 1996 DA - 1996// TI - Fractional Integrals and Potentials PB - Longman CY - Harlow ID - Rubin1996 ER - TY - JOUR AU - Rubin, B. PY - 1998 DA - 1998// TI - Fractional calculus and wavelet transforms in integral geometry JO - Fract. Calc. Appl. Anal. VL - 1 ID - Rubin1998 ER - TY - JOUR AU - Samko, S. G. PY - 1977 DA - 1977// TI - Spaces Lp,rα(Rn)$L_{p,r}^{\alpha }(\mathbb{R}^{n})$ and hypersingular integrals JO - Stud. Math. VL - 61 UR - https://doi.org/10.4064/sm-61-3-193-230 DO - 10.4064/sm-61-3-193-230 ID - Samko1977 ER - TY - BOOK AU - Samko, S. G. PY - 1984 DA - 1984// TI - Hypersingular Integrals and Their Applications PB - Izdat., Rostov Univ. CY - Rostovon-Don ID - Samko1984 ER - TY - BOOK AU - Samko, S. G. AU - Kilbas, A. A. AU - Marichev, O. I. PY - 1993 DA - 1993// TI - Fractional Integrals and Derivatives: Theory and Applications PB - Breach CY - London ID - Samko1993 ER - TY - JOUR AU - Sezer, S. AU - Aliev, I. A. PY - 2010 DA - 2010// TI - A new characterization of the Riesz potentials spaces with the aid of composite wavelet transform JO - J. Math. Anal. Appl. VL - 372 UR - https://doi.org/10.1016/j.jmaa.2010.07.009 DO - 10.1016/j.jmaa.2010.07.009 ID - Sezer2010 ER - TY - JOUR AU - Stein, E. PY - 1961 DA - 1961// TI - The characterization of functions arising as potentials. I JO - Bull. Am. Math. Soc. VL - 67 UR - https://doi.org/10.1090/S0002-9904-1961-10517-X DO - 10.1090/S0002-9904-1961-10517-X ID - Stein1961 ER - TY - BOOK AU - Stein, E. PY - 1970 DA - 1970// TI - Singular Integrals and Differentiability Properties of Functions PB - Princeton University Press CY - Princeton ID - Stein1970 ER - TY - BOOK AU - Stein, E. AU - Weiss, G. PY - 1971 DA - 1971// TI - Introduction to Fourier Analysis on Euclidean Spaces PB - Princeton University Press CY - Princeton ID - Stein1971 ER - TY - JOUR AU - Wheeden, R. L. PY - 1968 DA - 1968// TI - On hypersingular integrals and Lebesgue spaces of differentiable functions JO - Trans. Am. Math. Soc. VL - 134 UR - https://doi.org/10.1090/S0002-9947-1968-0232249-1 DO - 10.1090/S0002-9947-1968-0232249-1 ID - Wheeden1968 ER -