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Applicable Analysis
An International Journal
Volume 9, 1979 - Issue 4
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Original Articles

On the definition of dyadic differentiation

Pages 267-278 | Received 25 Apr 1978, Published online: 10 May 2007

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RadomirS. Stanković. (1994) Gibbs derivatives. Numerical Functional Analysis and Optimization 15:1-2, pages 169-181.
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RadomirS. Stanković. (1987) A NOTE ON DIFFERENTIAL OPERATORS ON FINITE ABELIAN GROUPS. Cybernetics and Systems 18:3, pages 221-231.
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Articles from other publishers (24)

Radomir S. Stanković, Jaakko Astola & Claudio Moraga. 2018. Computer Aided Systems Theory – EUROCAST 2017. Computer Aided Systems Theory – EUROCAST 2017 229 237 .
Radomir S. Stankovic, Paul L. Butzer, Ferenc Schipp, William R. Wade, Weiyi Su, Yasushi Endow, Sandor Fridli, Boris I. Golubov & Franz PichlerBoris I. Golubov & Sergei S. Volosivets. 2015. Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations. Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations 131 143 .
Radomir S. Stankovic, Paul L. Butzer, Ferenc Schipp, William R. Wade, Weiyi Su, Yasushi Endow, Sandor Fridli, Boris I. Golubov & Franz PichlerBoris I. Golubov & Sergei S. Volosivets. 2015. Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations. Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations 125 129 .
Radomir Stankovic, Paul Leo Butzer, William R. Wade, Weiyi Su, Yasushi Endow, Sandor Fridli, Boris I. Golubov & Franz PichlerKees (C.W.) Onneweer. 2015. Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations. Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations 247 313 .
Radomir Stankovic, Paul Leo Butzer, William R. Wade, Weiyi Su, Yasushi Endow, Sandor Fridli, Boris I. Golubov & Franz PichlerSándor Fridli & Ferenc Schipp. 2015. Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations. Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations 209 234 .
Radomir Stankovic, Paul Leo Butzer, William R. Wade, Weiyi Su, Yasushi Endow, Sandor Fridli, Boris I. Golubov & Franz PichlerPaul L. Butzer & Heinrich Josef Wagner. 2015. Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations. Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations 161 208 .
Radomir Stankovic, Paul Leo Butzer, William R. Wade, Weiyi Su, Yasushi Endow, Sandor Fridli, Boris I. Golubov & Franz PichlerBoris I. Golubov. 2015. Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations. Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations 449 452 .
Radomir Stankovic, Paul Leo Butzer, William R. Wade, Weiyi Su, Yasushi Endow, Sandor Fridli, Boris I. Golubov & Franz PichlerBoris I. Golubov. 2015. Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations. Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations 443 447 .
Andreas Klotz. (2014) The optimal dyadic derivativeОптимальность двоичной производной. Analysis Mathematica 40:4, pages 287-299.
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Medo Pepić. (2011) DIFFERENTIATION ON VILENKIN GROUPS USING A MATRIX. Taiwanese Journal of Mathematics 15:6.
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M. Avdispahić & N. Memić. (2010) A derivative on the field of p-adic numbers. P-Adic Numbers, Ultrametric Analysis, and Applications 2:4, pages 278-284.
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Radomir StankovicS.S. & Jaakko Astola. (2008) Remarks on the development and recent results in the theory of Gibbs derivatives. Facta universitatis - series: Electronics and Energetics 21:3, pages 349-364.
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Борис Иванович Голубов & Boris Ivanovich Golubov. (2007) Двоичные обобщенные функцииDyadic distributions. Математический сборник Matematicheskii Sbornik 198:2, pages 67-90.
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Борис Иванович Голубов & Boris Ivanovich Golubov. (2006) Модифицированный двоичный интеграл и производная дробного порядка на $\mathbb R_+$Modified Dyadic Integral and Fractional Derivative on $\mathbb R_+$. Математические заметки Matematicheskie Zametki 79:2, pages 213-233.
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Сергей Сергеевич Волосивец & Sergei Sergeevich Volosivets. (2006) О модифицированных мультипликативных интеграле и производной произвольного порядка на полуосиThe modified multiplicative integral and derivative of arbitrary order on the semiaxis. Известия Российской академии наук. Серия математическая Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya 70:2, pages 3-24.
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B. I. Golubov. (2006) Modified Dyadic Integral and Fractional Derivative on ℝ+. Mathematical Notes 79:1-2, pages 196-214.
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B. I. Golubov. (2005) Fractional Modified Dyadic Integral and Derivative on ℝ+. Functional Analysis and Its Applications 39:2, pages 135-139.
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Борис Иванович Голубов & Boris Ivanovich Golubov. (2005) Модифицированный двоичный интеграл и производная дробного порядка на $\mathbb{R}_+$Fractional Modified Dyadic Integral and Derivative on $\mathbb{R}_+$. Функциональный анализ и его приложения Funktsional'nyi Analiz i ego prilozheniya 39:2, pages 64-70.
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Борис Иванович Голубов & Boris Ivanovich Golubov. (2002) О модифицированном сильном двоичном интеграле и производнойA modified strong dyadic integral and derivative. Математический сборник Matematicheskii Sbornik 193:4, pages 37-60.
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Mie Nakata. (1990) A Plancherel formula for parabolic subgroups. Transactions of the American Mathematical Society 319:1, pages 243-256.
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Walter R. Bloom & John J. F. Fournier. (2009) Smoothness conditions and integrability theorems on bounded Vilenkin groups. Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 45:1, pages 46-61.
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C. W. Onneweer. (1985) Multipliers on weighted 𝐿_{𝑝}-spaces over certain totally disconnected groups. Transactions of the American Mathematical Society 288:1, pages 347-362.
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P.L. Butzer & W. Engels. (1982) Dyadic calculus and sampling theorems for functions with multidimensional domain I. General theory. Information and Control 52:3, pages 333-351.
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C. W. Onneweer. (1980) Fractional differentiation and Lipschitz spaces on local fields. Transactions of the American Mathematical Society 258:1, pages 155-165.
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