Edit Profile (opens in new tab) Trebels, Walter Co-Author Distance Author ID: trebels.walter Published as: Trebels, Walter; Trebels, W. Homepage: https://www.mathematik.tu-darmstadt.de/fb/personal/details/walter_trebels.de.jsp External Links: MGP · ResearchGate Documents Indexed: 91 Publications since 1968, including 6 Books and 1 Additional arXiv Preprint Co-Authors: 21 Co-Authors with 69 Joint Publications 531 Co-Co-Authors all top 5 Co-Authors 20 single-authored 21 Gasper, George Jun 11 Nessel, Rolf Joachim 9 Butzer, Paul Leo 7 Dappa, Henry 6 Westphal, Ursula 5 Opic, Bohumír 4 Stokolos, Alexander M. 3 Gogatishvili, Amiran 3 Görlich, Ernst 3 Seeger, Andreas 3 Stempak, Krzysztof 3 Tikhonov, Sergey Yur’evich 1 Adams, Gregory T. 1 Bavinck, Herman 1 Carbery, Anthony 1 Junggeburth, J. J. 1 Kamaly, Amir A. 1 Kazarian, Kazaros S. 1 Kryakin, Yuri V. 1 Liflyand, Elijah 1 Scherer, Karl all top 5 Serials 9 Journal of Approximation Theory 6 Acta Scientiarum Mathematicarum 5 Mathematische Annalen 5 Tôhoku Mathematical Journal. Second Series 4 Studia Mathematica 3 Mathematische Zeitschrift 2 Analysis Mathematica 2 Applicable Analysis 2 Archiv der Mathematik 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 Methods and Applications of Analysis 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Arkiv för Matematik 1 Canadian Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Mathematica Hungarica 1 Constructive Approximation 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 The Journal of Fourier Analysis and Applications 1 Bulletin of the American Mathematical Society 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Lecture Notes in Mathematics 1 Monografii Matematice (Timișoara) 1 Sampling Theory, Signal Processing, and Data Analysis all top 5 Fields 65 Harmonic analysis on Euclidean spaces (42-XX) 29 Approximations and expansions (41-XX) 23 Functional analysis (46-XX) 16 Real functions (26-XX) 14 Special functions (33-XX) 13 Operator theory (47-XX) 7 Integral transforms, operational calculus (44-XX) 3 Sequences, series, summability (40-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 70 Publications have been cited 503 times in 338 Documents Cited by ▼ Year ▼ Limiting reiteration for real interpolation with slowly varying functions. Zbl 1080.46012 Gogatishvili, Amiran; Opic, Bohumír; Trebels, Walter 60 2005 Multipliers for (C,a)-bounded Fourier expansions in Banach spaces and approximation theory. Zbl 0293.41035 Trebels, Walter 34 1973 A characterization of localized Bessel potential spaces and applications to Jacobi and Hankel multipliers. Zbl 0436.42005 Gasper, George; Trebels, Walter 19 1979 On maximal functions generated by Fourier multipliers. Zbl 0584.42012 Dappa, Henry; Trebels, Walter 18 1985 Embeddings for spaces of Lorentz-Sobolev type. Zbl 1420.46031 Seeger, Andreas; Trebels, Walter 18 2019 Inequalities for moduli of smoothness versus embeddings of function spaces. Zbl 1198.46033 Trebels, Walter 17 2010 On summation processes of Fourier expansions in Banach spaces. I: Comparison theorems. Zbl 0242.42016 Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 17 1972 On weighted transplantation and multipliers for Laguerre expansions. Zbl 0814.42015 Stempak, Krzysztof; Trebels, Walter 15 1994 Some Fourier multiplier criteria and the spherical Bochner-Riesz kernel. Zbl 0328.42003 Trebels, Walter 14 1975 Ulyanov-type inequalities between Lorentz-Zygmund spaces. Zbl 1316.41010 Gogatishvili, Amiran; Opic, Bohumír; Tikhonov, Sergey; Trebels, Walter 14 2014 On summation processes of Fourier expansions in Banach spaces. II: Saturation theorems. Zbl 0247.42013 Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 12 1972 Low regularity classes and entropy numbers. Zbl 1179.46032 Seeger, Andreas; Trebels, Walter 11 2009 Multipliers with respect to spectral measures in Banach spaces and approximation. I: Radial multipliers in connection with Riesz-bounded spectral measures. Zbl 0268.41019 Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 10 1973 Sharp embeddings of Bessel potential spaces with logarithmic smoothness. Zbl 1036.46027 Opic, Bohumír; Trebels, Walter 10 2003 Some necessary conditions for radial Fourier multipliers. Zbl 0334.42010 Trebels, Walter 9 1976 Ulyanov-type inequalities and generalized Liouville derivatives. Zbl 1213.26010 Tikhonov, Sergey; Trebels, Walter 9 2011 Hankel multipliers and transplantation operators. Zbl 1030.42009 Stempak, Krzysztof; Trebels, Walter 9 1997 On asymptotics for a class of radial Fourier transforms. Zbl 0911.42006 Liflyand, E.; Trebels, W. 9 1998 Bessel potentials with logarithmic components and Sobolev-type embeddings. Zbl 0973.46021 Opic, Bohumír; Trebels, Walter 9 2000 On \(L^ 1\)-criteria for quasi-radial Fourier multipliers with applications to some anisotropic function spaces. Zbl 0544.42011 Dappa, Henry; Trebels, Walter 9 1983 Hilberttransformation, gebrochene Integration und Differentiation. Zbl 0165.46002 Butzer, Paul L.; Trebels, Walter 8 1968 On anisotropic Besov and Bessel potential spaces. Zbl 0809.46027 Dappa, H.; Trebels, W. 8 1989 Fractional integration for Laguerre expansions. Zbl 0837.42014 Gasper, George; Stempak, Krzysztof; Trebels, Walter 8 1995 Multiplier criteria of Marcinkiewicz type for Jacobi expansions. Zbl 0369.42003 Gasper, George; Trebels, Walter 7 1977 A note on the Landau-Kallman-Rota-Hille inequality. Zbl 0255.47011 Trebels, Walter; Westphal, U. 7 1972 \(q\)-moduli of continuity in \(H^{p}(\mathbb D)\), \(p>0\) and an inequality of Hardy and Littlewood. Zbl 1001.30031 Kryakin, Yuri; Trebels, Walter 7 2002 On localized potential spaces. Zbl 0602.42020 Carbery, A.; Gasper, G.; Trebels, W. 7 1986 On the approximation behavior of the Riesz means in \(L^p(R^n)\). Zbl 0358.41009 Trebels, Walter 6 1976 Multiplier criteria of Hörmander type for Fourier series and applications to Jacobi series and Hankel transforms. Zbl 0397.42007 Gasper, George; Trebels, Walter 6 1979 Zur besten Approximation auf Banachräumen mit Anwendungen auf ganze Funktionen. Zbl 0267.41011 Junggeburth, J.; Scherer, K.; Trebels, Walter 6 1973 Bernstein-type inequalities for families of multiplier operators in Banach spaces with Cesaro decompositions. I: General theory. Zbl 0269.42007 Görlich, E.; Nessel, R. J.; Trebels, Walter 6 1973 Multiplier criteria of Hoermander type for Jacobi expansions. Zbl 0485.42015 Gasper, George; Trebels, Walter 6 1980 \(K\)-functionals related to semigroups of operators. Zbl 1144.47035 Trebels, Walter; Westphal, Ursula 5 2005 Opérateurs de Gauss-Weierstrass et de Cauchy-Poisson et conditions lipschitziennes dans \(L^ 1(E_ n)\). Zbl 0176.42202 Butzer, Paul L.; Trebels, Walter 5 1969 Characterizations of \(K\)-functionals built from fractional powers of infinitesimal generators of semigroups. Zbl 1030.41021 Trebels, W.; Westphal, U. 5 2003 Necessary conditions for Hankel multipliers. Zbl 0494.44003 Gasper, George; Trebels, Walter 5 1982 Equivalence of a \(K\)-functional with the approximation behavior of some linear means for abstract Fourier series. Zbl 0962.41018 Trebels, Walter 5 1999 Estimates for moduli of continuity of functions given by their Fourier transform. Zbl 0354.26005 Trebels, Walter 4 1977 Imbedding theorems for spaces of hypersingular integrals and Bessel potentials. Zbl 0241.44012 Trebels, Walter 4 1972 Bernstein-type inequalities for families of multiplier operators in Banach spaces with Cesaro decompositions. II: Applications. Zbl 0285.42007 Görlich, E.; Nessel, R. J.; Trebels, Walter 4 1974 Hilbert transforms, fractional integration and differentiation. Zbl 0171.10204 Butzer, Paul L.; Trebels, Walter 4 1968 On necessary multiplier conditions for Laguerre expansions. Zbl 0757.33005 Gasper, George; Trebels, Walter 4 1991 On hypersingular integrals and anisotropic Bessel potential spaces. Zbl 0558.42009 Dappa, Henry; Trebels, Walter 4 1984 On summation processes of Fourier expansions in Banach spaces. III: Jackson- and Zamansky-type inequalities for Abel-bounded expansions. Zbl 0324.42004 Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 3 1975 On the comparison of approximation processes in Hilbert spaces. Zbl 0253.41025 Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 3 1972 On a Fourier \(L^1(E_n)\) multiplier criterion. Zbl 0255.42007 Trebels, Walter 3 1973 Almost optimal estimates for entropy numbers of \(B_{2,2}^{1/2}\) and its consequences. Zbl 1076.46023 Belinsky, E.; Trebels, W. 3 2005 Fourier multipliers on \(L^p(\mathbb{R}^n)\) in connection with bounded Riesz means. Zbl 0318.42010 Trebels, Walter 3 1973 On the rate of almost everywhere convergence of certain classical integral means. Zbl 0941.42001 Stokolos, Alexander M.; Trebels, Walter 3 1999 Jacobi and Hankel multipliers of type \((p,q)\), \(1<p<q<\infty\). Zbl 0375.42001 Gasper, George; Trebels, Walter 2 1978 Jacobi and Hankel multipliers of type \((p,q)\), \(1<p<q<\infty\). Zbl 0386.42004 Gasper, George; Trebels, Walter 2 1978 On Ulyanov inequalities in Banach spaces and semigroups of linear operators. Zbl 1190.47046 Trebels, W.; Westphal, U. 2 2009 Über absolute Summierbarkeit von \(n\)-dimensionalen Fourierreihen und Fourierintegralen. Zbl 0186.11602 Trebels, Walter 2 1969 Generalized Lipschitz conditions and Riesz derivatives on the space of Bessel potentials \(L_ \alpha^ \rho\). I: Conditions for elements of \(L_ \alpha^ \rho\) and their Riesz transforms \(0 < \alpha \leq 2\). Zbl 0215.19903 Trebels, Walter 2 1971 \(K\)-functionals on \(L^1 (\mathbb{R}^n)\) related to the Laplacian. Zbl 1045.41012 Trebels, W.; Westphal, U. 2 2003 Zur Approximationstheorie für Summationsprozesse von Fourier- Entwicklungen in Banach-Räumen: Vergleichssätze und Ungleichungen vom Bernstein-Typ. Zbl 0305.41025 Görlich, E.; Nessel, R. J.; Trebels, Walter 2 1975 Applications of weighted Laguerre transplantation theorems. Zbl 0965.33004 Gasper, George; Trebels, Walter 2 1999 Pointwise multiplication on anisotropic Bessel potential spaces. Zbl 0631.42003 Dappa, H.; Trebels, W. 2 1987 A difference quotient norm for anisotropic Bessel potential spaces. Zbl 0637.46028 Dappa, H.; Trebels, W. 2 1987 On Fourier \(M^q_p\) multiplier criteria of Marcinkiewicz type. Zbl 0347.42007 Trebels, Walter 1 1976 Einige n-parametrige Approximationsverfahren und Charakterisierungen ihrer Favardklassen. Zbl 0202.12204 Trebels, Walter 1 1970 On radial M\(^q_p\)-Fourier multipliers. Zbl 0268.42008 Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 1 1974 Ultraspherical multipliers revisited. Zbl 0833.42015 Gasper, George; Trebels, Walter 1 1995 A Riemann-Lebesgue lemma for Jacobi expansions. Zbl 0836.42015 Gasper, George; Trebels, Walter 1 1995 Multipliers with respect to spectral measures in Banach spaces and approximation. II: One-dimensional Fourier multipliers. Zbl 0304.42004 Nessel, R. J.; Trebels, Walter 1 1975 A lower estimate for the Lebesgue constants of linear means of Laguerre expansions. Zbl 0946.42021 Gasper, George; Trebels, Walter 1 1998 On the rate of almost everywhere convergence of Abel-Cartwright means of \(L^p (\mathbb{R}^n)\). Zbl 0924.42007 Stokolos, A. M.; Trebels, W. 1 1998 Moduli of smoothness and rate of a.e. convergence for some convolution operators. Zbl 1271.41008 Stokolos, Alexander M.; Trebels, Walter 1 2013 A Hausdorff-Young type inequality and necessary multiplier conditions for Jacobi expansions. Zbl 0454.42008 Gasper, George; Trebels, Walter 1 1980 Norm inequalities for fractional integrals of Laguerre and Hermite expansions. Zbl 0987.26006 Gasper, George; Trebels, Walter 1 2000 Embeddings for spaces of Lorentz-Sobolev type. Zbl 1420.46031 Seeger, Andreas; Trebels, Walter 18 2019 Ulyanov-type inequalities between Lorentz-Zygmund spaces. Zbl 1316.41010 Gogatishvili, Amiran; Opic, Bohumír; Tikhonov, Sergey; Trebels, Walter 14 2014 Moduli of smoothness and rate of a.e. convergence for some convolution operators. Zbl 1271.41008 Stokolos, Alexander M.; Trebels, Walter 1 2013 Ulyanov-type inequalities and generalized Liouville derivatives. Zbl 1213.26010 Tikhonov, Sergey; Trebels, Walter 9 2011 Inequalities for moduli of smoothness versus embeddings of function spaces. Zbl 1198.46033 Trebels, Walter 17 2010 Low regularity classes and entropy numbers. Zbl 1179.46032 Seeger, Andreas; Trebels, Walter 11 2009 On Ulyanov inequalities in Banach spaces and semigroups of linear operators. Zbl 1190.47046 Trebels, W.; Westphal, U. 2 2009 Limiting reiteration for real interpolation with slowly varying functions. Zbl 1080.46012 Gogatishvili, Amiran; Opic, Bohumír; Trebels, Walter 60 2005 \(K\)-functionals related to semigroups of operators. Zbl 1144.47035 Trebels, Walter; Westphal, Ursula 5 2005 Almost optimal estimates for entropy numbers of \(B_{2,2}^{1/2}\) and its consequences. Zbl 1076.46023 Belinsky, E.; Trebels, W. 3 2005 Sharp embeddings of Bessel potential spaces with logarithmic smoothness. Zbl 1036.46027 Opic, Bohumír; Trebels, Walter 10 2003 Characterizations of \(K\)-functionals built from fractional powers of infinitesimal generators of semigroups. Zbl 1030.41021 Trebels, W.; Westphal, U. 5 2003 \(K\)-functionals on \(L^1 (\mathbb{R}^n)\) related to the Laplacian. Zbl 1045.41012 Trebels, W.; Westphal, U. 2 2003 \(q\)-moduli of continuity in \(H^{p}(\mathbb D)\), \(p>0\) and an inequality of Hardy and Littlewood. Zbl 1001.30031 Kryakin, Yuri; Trebels, Walter 7 2002 Bessel potentials with logarithmic components and Sobolev-type embeddings. Zbl 0973.46021 Opic, Bohumír; Trebels, Walter 9 2000 Norm inequalities for fractional integrals of Laguerre and Hermite expansions. Zbl 0987.26006 Gasper, George; Trebels, Walter 1 2000 Equivalence of a \(K\)-functional with the approximation behavior of some linear means for abstract Fourier series. Zbl 0962.41018 Trebels, Walter 5 1999 On the rate of almost everywhere convergence of certain classical integral means. Zbl 0941.42001 Stokolos, Alexander M.; Trebels, Walter 3 1999 Applications of weighted Laguerre transplantation theorems. Zbl 0965.33004 Gasper, George; Trebels, Walter 2 1999 On asymptotics for a class of radial Fourier transforms. Zbl 0911.42006 Liflyand, E.; Trebels, W. 9 1998 A lower estimate for the Lebesgue constants of linear means of Laguerre expansions. Zbl 0946.42021 Gasper, George; Trebels, Walter 1 1998 On the rate of almost everywhere convergence of Abel-Cartwright means of \(L^p (\mathbb{R}^n)\). Zbl 0924.42007 Stokolos, A. M.; Trebels, W. 1 1998 Hankel multipliers and transplantation operators. Zbl 1030.42009 Stempak, Krzysztof; Trebels, Walter 9 1997 Fractional integration for Laguerre expansions. Zbl 0837.42014 Gasper, George; Stempak, Krzysztof; Trebels, Walter 8 1995 Ultraspherical multipliers revisited. Zbl 0833.42015 Gasper, George; Trebels, Walter 1 1995 A Riemann-Lebesgue lemma for Jacobi expansions. Zbl 0836.42015 Gasper, George; Trebels, Walter 1 1995 On weighted transplantation and multipliers for Laguerre expansions. Zbl 0814.42015 Stempak, Krzysztof; Trebels, Walter 15 1994 On necessary multiplier conditions for Laguerre expansions. Zbl 0757.33005 Gasper, George; Trebels, Walter 4 1991 On anisotropic Besov and Bessel potential spaces. Zbl 0809.46027 Dappa, H.; Trebels, W. 8 1989 Pointwise multiplication on anisotropic Bessel potential spaces. Zbl 0631.42003 Dappa, H.; Trebels, W. 2 1987 A difference quotient norm for anisotropic Bessel potential spaces. Zbl 0637.46028 Dappa, H.; Trebels, W. 2 1987 On localized potential spaces. Zbl 0602.42020 Carbery, A.; Gasper, G.; Trebels, W. 7 1986 On maximal functions generated by Fourier multipliers. Zbl 0584.42012 Dappa, Henry; Trebels, Walter 18 1985 On hypersingular integrals and anisotropic Bessel potential spaces. Zbl 0558.42009 Dappa, Henry; Trebels, Walter 4 1984 On \(L^ 1\)-criteria for quasi-radial Fourier multipliers with applications to some anisotropic function spaces. Zbl 0544.42011 Dappa, Henry; Trebels, Walter 9 1983 Necessary conditions for Hankel multipliers. Zbl 0494.44003 Gasper, George; Trebels, Walter 5 1982 Multiplier criteria of Hoermander type for Jacobi expansions. Zbl 0485.42015 Gasper, George; Trebels, Walter 6 1980 A Hausdorff-Young type inequality and necessary multiplier conditions for Jacobi expansions. Zbl 0454.42008 Gasper, George; Trebels, Walter 1 1980 A characterization of localized Bessel potential spaces and applications to Jacobi and Hankel multipliers. Zbl 0436.42005 Gasper, George; Trebels, Walter 19 1979 Multiplier criteria of Hörmander type for Fourier series and applications to Jacobi series and Hankel transforms. Zbl 0397.42007 Gasper, George; Trebels, Walter 6 1979 Jacobi and Hankel multipliers of type \((p,q)\), \(1<p<q<\infty\). Zbl 0375.42001 Gasper, George; Trebels, Walter 2 1978 Jacobi and Hankel multipliers of type \((p,q)\), \(1<p<q<\infty\). Zbl 0386.42004 Gasper, George; Trebels, Walter 2 1978 Multiplier criteria of Marcinkiewicz type for Jacobi expansions. Zbl 0369.42003 Gasper, George; Trebels, Walter 7 1977 Estimates for moduli of continuity of functions given by their Fourier transform. Zbl 0354.26005 Trebels, Walter 4 1977 Some necessary conditions for radial Fourier multipliers. Zbl 0334.42010 Trebels, Walter 9 1976 On the approximation behavior of the Riesz means in \(L^p(R^n)\). Zbl 0358.41009 Trebels, Walter 6 1976 On Fourier \(M^q_p\) multiplier criteria of Marcinkiewicz type. Zbl 0347.42007 Trebels, Walter 1 1976 Some Fourier multiplier criteria and the spherical Bochner-Riesz kernel. Zbl 0328.42003 Trebels, Walter 14 1975 On summation processes of Fourier expansions in Banach spaces. III: Jackson- and Zamansky-type inequalities for Abel-bounded expansions. Zbl 0324.42004 Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 3 1975 Zur Approximationstheorie für Summationsprozesse von Fourier- Entwicklungen in Banach-Räumen: Vergleichssätze und Ungleichungen vom Bernstein-Typ. Zbl 0305.41025 Görlich, E.; Nessel, R. J.; Trebels, Walter 2 1975 Multipliers with respect to spectral measures in Banach spaces and approximation. II: One-dimensional Fourier multipliers. Zbl 0304.42004 Nessel, R. J.; Trebels, Walter 1 1975 Bernstein-type inequalities for families of multiplier operators in Banach spaces with Cesaro decompositions. II: Applications. Zbl 0285.42007 Görlich, E.; Nessel, R. J.; Trebels, Walter 4 1974 On radial M\(^q_p\)-Fourier multipliers. Zbl 0268.42008 Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 1 1974 Multipliers for (C,a)-bounded Fourier expansions in Banach spaces and approximation theory. Zbl 0293.41035 Trebels, Walter 34 1973 Multipliers with respect to spectral measures in Banach spaces and approximation. I: Radial multipliers in connection with Riesz-bounded spectral measures. Zbl 0268.41019 Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 10 1973 Zur besten Approximation auf Banachräumen mit Anwendungen auf ganze Funktionen. Zbl 0267.41011 Junggeburth, J.; Scherer, K.; Trebels, Walter 6 1973 Bernstein-type inequalities for families of multiplier operators in Banach spaces with Cesaro decompositions. I: General theory. Zbl 0269.42007 Görlich, E.; Nessel, R. J.; Trebels, Walter 6 1973 On a Fourier \(L^1(E_n)\) multiplier criterion. Zbl 0255.42007 Trebels, Walter 3 1973 Fourier multipliers on \(L^p(\mathbb{R}^n)\) in connection with bounded Riesz means. Zbl 0318.42010 Trebels, Walter 3 1973 On summation processes of Fourier expansions in Banach spaces. I: Comparison theorems. Zbl 0242.42016 Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 17 1972 On summation processes of Fourier expansions in Banach spaces. II: Saturation theorems. Zbl 0247.42013 Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 12 1972 A note on the Landau-Kallman-Rota-Hille inequality. Zbl 0255.47011 Trebels, Walter; Westphal, U. 7 1972 Imbedding theorems for spaces of hypersingular integrals and Bessel potentials. Zbl 0241.44012 Trebels, Walter 4 1972 On the comparison of approximation processes in Hilbert spaces. Zbl 0253.41025 Butzer, Paul L.; Nessel, R. J.; Trebels, Walter 3 1972 Generalized Lipschitz conditions and Riesz derivatives on the space of Bessel potentials \(L_ \alpha^ \rho\). I: Conditions for elements of \(L_ \alpha^ \rho\) and their Riesz transforms \(0 < \alpha \leq 2\). Zbl 0215.19903 Trebels, Walter 2 1971 Einige n-parametrige Approximationsverfahren und Charakterisierungen ihrer Favardklassen. Zbl 0202.12204 Trebels, Walter 1 1970 Opérateurs de Gauss-Weierstrass et de Cauchy-Poisson et conditions lipschitziennes dans \(L^ 1(E_ n)\). Zbl 0176.42202 Butzer, Paul L.; Trebels, Walter 5 1969 Über absolute Summierbarkeit von \(n\)-dimensionalen Fourierreihen und Fourierintegralen. Zbl 0186.11602 Trebels, Walter 2 1969 Hilberttransformation, gebrochene Integration und Differentiation. Zbl 0165.46002 Butzer, Paul L.; Trebels, Walter 8 1968 Hilbert transforms, fractional integration and differentiation. Zbl 0171.10204 Butzer, Paul L.; Trebels, Walter 4 1968 all cited Publications top 5 cited Publications all top 5 Cited by 328 Authors 35 Trebels, Walter 14 Opic, Bohumír 12 Gogatishvili, Amiran 12 Nessel, Rolf Joachim 10 Butzer, Paul Leo 10 Cobos, Fernando 10 Simonov, Boris Vital’evich 10 Tikhonov, Sergey Yur’evich 9 Fernández-Martínez, Pedro 9 Seeger, Andreas 9 Signes, Teresa M. 8 Ahmed, Irshaad 8 Doktorski, Leo R. Ya. 8 Dominguez, Oscar 8 Gasper, George Jun 8 Haroske, Dorothee D. 8 Potapov, Mikhaĭl Konstantinovich 7 Neves, Júlio Severino 7 Stempak, Krzysztof 6 Pick, Luboš 6 Slavíková, Lenka 6 Stens, Rudolf L. 6 Triebel, Hans 5 Betancor Perez, Jorge Juan 5 Cianchi, Andrea 5 Fiorenza, Alberto 5 Grafakos, Loukas 5 Ho, Kwok-Pun 5 Liflyand, Elijah 5 Wilmes, Gerhard 4 Alberico, Angela 4 Kolomoitsev, Yurii S. 4 Domingues de Moura, Susana 4 Nishishiraho, Toshihiko 4 Nowak, Adam 4 Ren, Guangbin 4 Wróbel, Błażej Jan 3 Dappa, Henry 3 Edmunds, David Eric 3 Formica, Maria Rosaria 3 Gorbachëv, Dmitriĭ Viktorovich 3 Honzík, Petr 3 Kim, Yong-Cheol 3 Kühn, Thomas 3 Preisner, Marcin 3 Schmeisser, Hans-Jürgen 3 Stokolos, Alexander M. 3 Szarek, Tomasz Zachary 3 Torrea, José Luis 3 Trigub, Roal’d Mikhaĭlovich 3 Vodop’yanov, Sergeĭ Konstantinovich 3 Westphal, Ursula 2 Besoy, Blanca F. 2 Bilgiçli, Nevin 2 Bleimann, G. 2 Bustamante González, Jorge 2 Caetano, António M. 2 Carbery, Anthony 2 Carro, María Jesús 2 Chang, Tongkeun 2 Chen, Yingwei 2 Ciaurri, Óscar 2 Dintelmann, Peter Michael 2 Domingo-Salazar, Carlos 2 Draganov, Borislav R. 2 Dziubański, Jacek 2 Fan, Dashan 2 Fariña, Juan Carlos 2 Fernández-Cabrera, Luz M. 2 Galé, José E. 2 Gariboldi, Bianca 2 Garrigós, Gustavo 2 Gigante, Giacomo 2 Golubov, Boris Ivanovich 2 Görlich, Ernst 2 Gurka, Petr 2 Isralowitz, Joshua 2 Ivanov, Valerĭ Ivanovich 2 Kanjin, Yuichi 2 Karadzhov, Georgi Eremiev 2 Kim, Jongchon 2 Leopold, Hans-Gerd 2 Li, Luoqing 2 Li, Zhongkai 2 Markett, Clemens 2 Meaney, Christopher 2 Merino, Juán J. 2 Mertens, Hans Jochen 2 Miana, Pedro J. 2 Mihula, Zdeněk 2 Müller, Detlef 2 Mustafayev, Rza Ch. 2 Nicolay, Samuel 2 Quesada, José María 2 Rodríguez-Mesa, Lourdes 2 Runovski, Konstantin Vsevolodovich 2 Ruzhansky, Michael V. 2 Samko, Stefan Grigor’evich 2 Schmeisser, Gerhard 2 Segurado, Alba ...and 228 more Authors all top 5 Cited in 105 Serials 28 Journal of Approximation Theory 18 The Journal of Fourier Analysis and Applications 17 Journal of Mathematical Analysis and Applications 16 Journal of Functional Analysis 15 Tôhoku Mathematical Journal. Second Series 12 Mathematische Nachrichten 10 Mathematische Annalen 9 Mathematische Zeitschrift 9 Transactions of the American Mathematical Society 7 Analysis Mathematica 7 Applicable Analysis 7 Zeitschrift für Analysis und ihre Anwendungen 6 Results in Mathematics 6 Acta Mathematica Hungarica 5 Moscow University Mathematics Bulletin 5 Journal of Computational and Applied Mathematics 5 Proceedings of the American Mathematical Society 5 Siberian Mathematical Journal 5 Journal of Inequalities and Applications 5 Mediterranean Journal of Mathematics 5 Journal of Function Spaces 4 Journal d’Analyse Mathématique 4 Mathematical Notes 4 Ukrainian Mathematical Journal 4 Arkiv för Matematik 4 Monatshefte für Mathematik 3 Acta Mathematica Academiae Scientiarum Hungaricae 3 Studia Mathematica 3 Advances in Mathematics 3 Journal of Soviet Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Mathematical Sciences (New York) 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Positivity 3 Acta Mathematica Sinica. English Series 3 Science China. Mathematics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Archiv der Mathematik 2 Czechoslovak Mathematical Journal 2 Illinois Journal of Mathematics 2 Constructive Approximation 2 Revista Matemática Iberoamericana 2 The Journal of Geometric Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Complex Analysis and Operator Theory 2 Analysis and Mathematical Physics 1 Archive for History of Exact Sciences 1 Bulletin of the Australian Mathematical Society 1 Compositio Mathematica 1 Dissertationes Mathematicae 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Multivariate Analysis 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Mathematical and Computer Modelling 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Aequationes Mathematicae 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Mathematics 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Applied and Computational Harmonic Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Lie Theory 1 Sbornik: Mathematics 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Mathematical Inequalities & Applications 1 Fractional Calculus & Applied Analysis 1 Revista Matemática Complutense 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Communications on Pure and Applied Analysis 1 Hacettepe Journal of Mathematics and Statistics 1 Analysis and Applications (Singapore) 1 Advances in Difference Equations 1 Bulletin of the American Mathematical Society 1 Complex Variables and Elliptic Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Inequalities 1 Banach Journal of Mathematical Analysis 1 Differential Equations and Applications 1 Eurasian Mathematical Journal ...and 5 more Serials all top 5 Cited in 30 Fields 179 Harmonic analysis on Euclidean spaces (42-XX) 138 Functional analysis (46-XX) 81 Approximations and expansions (41-XX) 76 Real functions (26-XX) 49 Operator theory (47-XX) 25 Partial differential equations (35-XX) 16 Abstract harmonic analysis (43-XX) 16 Integral transforms, operational calculus (44-XX) 12 Special functions (33-XX) 9 Functions of a complex variable (30-XX) 6 Potential theory (31-XX) 6 Sequences, series, summability (40-XX) 6 Information and communication theory, circuits (94-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Probability theory and stochastic processes (60-XX) 5 Numerical analysis (65-XX) 4 Integral equations (45-XX) 3 Ordinary differential equations (34-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year