Powell, C.; Wade, W. R. Partial ordering that generates filtered Walsh series. (English) Zbl 1299.42096 Acta Math. Hung. 140, No. 1-2, 162-168 (2013). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 42C10 43A75 PDFBibTeX XMLCite \textit{C. Powell} and \textit{W. R. Wade}, Acta Math. Hung. 140, No. 1--2, 162--168 (2013; Zbl 1299.42096) Full Text: DOI
Wade, W. R. Convergence of filtered Walsh-Fourier series. (English) Zbl 1240.42137 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 33, 365-375 (2010). MSC: 42C10 43A75 PDFBibTeX XMLCite \textit{W. R. Wade}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 33, 365--375 (2010; Zbl 1240.42137) Full Text: Link
Wade, W. R. Uniqueness of double Walsh series. (English) Zbl 1136.42025 Acta Sci. Math. 72, No. 1-2, 147-157 (2006). Reviewer: György Gát (Nyíregyháza) MSC: 42C10 43A75 PDFBibTeX XMLCite \textit{W. R. Wade}, Acta Sci. Math. 72, No. 1--2, 147--157 (2006; Zbl 1136.42025)
Wade, W. R. Uniqueness of double Walsh series. (English) Zbl 1106.42019 Acta Math. Hung. 110, No. 3, 207-216 (2006). Reviewer: György Gát (Nyíregyháza) MSC: 42C10 43A75 PDFBibTeX XMLCite \textit{W. R. Wade}, Acta Math. Hung. 110, No. 3, 207--216 (2006; Zbl 1106.42019) Full Text: DOI
Daniel, D. S.; Wade, W. R. Uniqueness for Cesàro summable double Walsh series. (English) Zbl 1068.42025 Anal. Math. 30, No. 1, 33-46 (2004). Reviewer: György Gát (Nyíregyháza) MSC: 42C10 42B08 PDFBibTeX XMLCite \textit{D. S. Daniel} and \textit{W. R. Wade}, Anal. Math. 30, No. 1, 33--46 (2004; Zbl 1068.42025) Full Text: DOI
Daniel, D. S.; Wade, W. R. Uniqueness for Cesàro summable double Walsh series. (English) Zbl 1059.42019 Anal. Math. 30, No. 1, 33-46 (2004). MSC: 42C10 PDFBibTeX XMLCite \textit{D. S. Daniel} and \textit{W. R. Wade}, Anal. Math. 30, No. 1, 33--46 (2004; Zbl 1059.42019) Full Text: DOI
Wade, W. R. Uniqueness of almost everywhere convergent Vilenkin series. (English) Zbl 1055.43007 Can. Math. Bull. 47, No. 3, 475-480 (2004). Reviewer: Su Weiyi (Nanjing) MSC: 43A75 42C10 PDFBibTeX XMLCite \textit{W. R. Wade}, Can. Math. Bull. 47, No. 3, 475--480 (2004; Zbl 1055.43007) Full Text: DOI
Wade, W. R. A Tauberian theorem for Vilenkin series. (English) Zbl 1040.42023 Proc. Am. Math. Soc. 131, No. 9, 2877-2881 (2003). Reviewer: Boris I. Golubov (Dolgoprudny) MSC: 42C10 43A75 PDFBibTeX XMLCite \textit{W. R. Wade}, Proc. Am. Math. Soc. 131, No. 9, 2877--2881 (2003; Zbl 1040.42023) Full Text: DOI
Wade, W. R. Sets of uniqueness for martingale subsequences of Vilenkin series. (English) Zbl 1039.42026 Leindler, L. (ed.) et al., Functions, series, operators. Alexits memorial conference in honor of the 100th anniversary of the birth of Professor George Alexits (1899–1978), Budapest, Hungary, August 9–13, 1999. Budapest: János Bolyai Mathematical Society (ISBN 963-9453-00-5/hbk). 433-441 (2002). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 42A63 PDFBibTeX XMLCite \textit{W. R. Wade}, in: Functions, series, operators. Alexits memorial conference in honor of the 100th anniversary of the birth of Professor George Alexits (1899--1978), Budapest, Hungary, August 9--13, 1999. Budapest: János Bolyai Mathematical Society. 433--441 (2002; Zbl 1039.42026)
Móricz, F.; Wade, W. R. An analogue of a theorem of Ferenc Lukács for double Walsh-Fourier series. (English) Zbl 1006.42024 Acta Math. Hung. 95, No. 4, 323-336 (2002). Reviewer: György Gát (Nyíregyháza) MSC: 42C10 26B30 42C15 PDFBibTeX XMLCite \textit{F. Móricz} and \textit{W. R. Wade}, Acta Math. Hung. 95, No. 4, 323--336 (2002; Zbl 1006.42024) Full Text: DOI
Schipp, F.; Wade, W. R. Mellin transforms on binary fields. (English) Zbl 0966.42018 Appl. Comput. Harmon. Anal. 9, No. 1, 54-71 (2000). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 PDFBibTeX XMLCite \textit{F. Schipp} and \textit{W. R. Wade}, Appl. Comput. Harmon. Anal. 9, No. 1, 54--71 (2000; Zbl 0966.42018) Full Text: DOI
Perrine, S. O.; Wade, W. R. Sets of uniqueness for classes of Vilenkin series. (English) Zbl 0954.42015 Acta Sci. Math. 65, No. 3-4, 597-610 (1999). Reviewer: György Gát (Nyíregyháza) MSC: 42C10 43A75 PDFBibTeX XMLCite \textit{S. O. Perrine} and \textit{W. R. Wade}, Acta Sci. Math. 65, No. 3--4, 597--610 (1999; Zbl 0954.42015)
Schipp, F.; Wade, W. R. Zak transforms on binary fields. (English) Zbl 0945.42024 J. Approximation Theory 101, No. 2, 182-195 (1999). Reviewer: W.Schempp (Siegen) MSC: 42C40 42C10 43A65 94A12 22E27 PDFBibTeX XMLCite \textit{F. Schipp} and \textit{W. R. Wade}, J. Approx. Theory 101, No. 2, 182--195 (1999; Zbl 0945.42024) Full Text: DOI
Wade, W. R. Summability estimates of double Vilenkin-Fourier series. (English) Zbl 0928.42012 Math. Pannonica 10, No. 1, 67-75 (1999). MSC: 42C10 60G42 42C25 PDFBibTeX XMLCite \textit{W. R. Wade}, Math. Pannonica 10, No. 1, 67--75 (1999; Zbl 0928.42012) Full Text: EuDML
Wade, W. R. Growth of Cesàro means of double Vilenkin-Fourier series of unbounded type. (English) Zbl 0918.42017 Bray, William O. (ed.) et al., Analysis of divergence. Control and management of divergent processes. Proceedings of the 7th international workshop in analysis and its applications, IWAA, Orono, ME, USA June 1–6, 1997. Boston, MA: Birkhäuser. Applied and Numerical Harmonic Analysis. 41-50 (1999). Reviewer: S.S.Volosivets (Saratov) MSC: 42C10 PDFBibTeX XMLCite \textit{W. R. Wade}, in: Analysis of divergence. Control and management of divergent processes. Proceedings of the 7th international workshop in analysis and its applications, IWAA, Orono, ME, USA June 1--6, 1997. Boston, MA: Birkhäuser. 41--50 (1999; Zbl 0918.42017)
Schipp, F.; Wade, W. R. Fast Fourier transforms on binary fields. (English) Zbl 0919.42018 Approximation Theory Appl. 14, No. 1, 91-100 (1998). Reviewer: L.Leindler (Szeged) MSC: 42C10 65T50 PDFBibTeX XMLCite \textit{F. Schipp} and \textit{W. R. Wade}, Approximation Theory Appl. 14, No. 1, 91--100 (1998; Zbl 0919.42018)
Wade, William R. Dyadic harmonic analysis. (English) Zbl 0885.42016 Harper, Lawrence H. (ed.) et al., Harmonic analysis and nonlinear differential equations. A volume in honor of Victor L. Shapiro. Proceedings of a conference, Riverside, CA, USA, November 3–5, 1995. Providence, RI: American Mathematical Society. Contemp. Math. 208, 313-350 (1997). Reviewer: F.Móricz (Szeged) MSC: 42C10 43A75 PDFBibTeX XMLCite \textit{W. R. Wade}, Contemp. Math. 208, 313--350 (1997; Zbl 0885.42016)
Wade, W. R. A Walsh system for polar coordinates. (English) Zbl 0847.42021 Comput. Math. Appl. 30, No. 3-6, 221-227 (1995). Reviewer: M.Repický (Košice) MSC: 42C10 PDFBibTeX XMLCite \textit{W. R. Wade}, Comput. Math. Appl. 30, No. 3--6, 221--227 (1995; Zbl 0847.42021) Full Text: DOI
Tateoka, Jun; Wade, William R. On the strong approximation and summability by Cesàro means on the Besov spaces over the 2-series field. (English) Zbl 0851.42022 Acta Sci. Math. 60, No. 3-4, 685-703 (1995). Reviewer: W.Łenski (Poznan) MSC: 42C10 46E35 42B15 PDFBibTeX XMLCite \textit{J. Tateoka} and \textit{W. R. Wade}, Acta Sci. Math. 60, No. 3--4, 685--703 (1995; Zbl 0851.42022)
Fridli, S.; Wade, W. R. Rate of convergence and dyadic differentiability of Walsh series. (English) Zbl 0801.42022 J. Anal. Math. 62, 287-305 (1994). Reviewer: C.Karanikas (Thessaloniki) MSC: 42C10 PDFBibTeX XMLCite \textit{S. Fridli} and \textit{W. R. Wade}, J. Anal. Math. 62, 287--305 (1994; Zbl 0801.42022) Full Text: DOI
Albert, G. E.; Wade, W. R. Haar systems for compact geometries. (English) Zbl 0807.42019 Acta Math. Hung. 61, No. 1-2, 21-41 (1993). Reviewer: B.Osilenker (Moskva) MSC: 42C10 42C25 42A16 PDFBibTeX XMLCite \textit{G. E. Albert} and \textit{W. R. Wade}, Acta Math. Hung. 61, No. 1--2, 21--41 (1993; Zbl 0807.42019) Full Text: DOI
Powell, C. H.; Wade, W. R. Paley sets and term by term dyadic differentiation of Walsh series. (English) Zbl 0784.42017 Acta Math. Hung. 62, No. 1-2, 89-96 (1993). Reviewer: F.Móricz (Szeged) MSC: 42C10 43A70 PDFBibTeX XMLCite \textit{C. H. Powell} and \textit{W. R. Wade}, Acta Math. Hung. 62, No. 1--2, 89--96 (1993; Zbl 0784.42017) Full Text: DOI
Schipp, F.; Wade, W. R. Norm convergence and summability of Fourier series with respect to certain product systems. (English) Zbl 0770.42007 Approximation theory, Proc. 6th Southeast. Approximation Theory Conf., Memphis/TN (USA) 1991, Lect. Notes Pure Appl. Math. 138, 437-452 (1992). Reviewer: L.Leindler (Szeged) MSC: 42A20 42C10 42C15 PDFBibTeX XMLCite \textit{F. Schipp} and \textit{W. R. Wade}, Lect. Notes Pure Appl. Math. 138, 437--452 (1992; Zbl 0770.42007)
Móricz, F.; Schipp, F.; Wade, W. R. Cesàro summability of double Walsh-Fourier series. (English) Zbl 0795.42016 Trans. Am. Math. Soc. 329, No. 1, 131-140 (1992). Reviewer: M.Kinukawa (Mitaka / Tokyo) MSC: 42C10 42B20 42B25 PDFBibTeX XMLCite \textit{F. Móricz} et al., Trans. Am. Math. Soc. 329, No. 1, 131--140 (1992; Zbl 0795.42016) Full Text: DOI
Powell, C. H.; Wade, W. R. Term by term dyadic differentiation of rapidly convergent Walsh series. (English) Zbl 0758.42018 Approximation Theory Appl. 7, No. 2, 20-40 (1991). Reviewer: F.Móricz (Szeged) MSC: 42C10 PDFBibTeX XMLCite \textit{C. H. Powell} and \textit{W. R. Wade}, Approximation Theory Appl. 7, No. 2, 20--40 (1991; Zbl 0758.42018)
Schipp, F.; Wade, W. R.; Simon, P. [Pál, J.] Walsh series. An introduction to dyadic harmonic analysis. With the assistance from J. Pál. (English) Zbl 0727.42017 Bristol etc.: Adam Hilger. x, 560 p. £60.00 (1990). Reviewer: C.F.Dunkl (Charlottesville) MSC: 42C10 43A75 42-02 46B15 PDFBibTeX XMLCite \textit{F. Schipp} et al., Walsh series. An introduction to dyadic harmonic analysis. With the assistance from J. Pál. Bristol etc.: Adam Hilger (1990; Zbl 0727.42017)
Móricz, F.; Schipp, F.; Wade, W. R. On the integrability of double Walsh series with special coefficients. (English) Zbl 0714.42017 Mich. Math. J. 37, No. 2, 191-201 (1990). Reviewer: F.Móricz MSC: 42C10 PDFBibTeX XMLCite \textit{F. Móricz} et al., Mich. Math. J. 37, No. 2, 191--201 (1990; Zbl 0714.42017) Full Text: DOI
Wade, William R. The Gibbs derivative and term by term differentiation of Walsh series. (English) Zbl 0712.42036 Gibbs derivatives, Proc. 1st Int. Workshop, Kupari-Dubrovnik/Yugosl., 59-72 (1990). MSC: 42C10 42A38 42A16 PDFBibTeX XML
Schipp, Ferenc; Wade, William R. A fundamental theorem of dyadic calculus for the unit square. (English) Zbl 0727.42020 Appl. Anal. 34, No. 3-4, 203-218 (1989). Reviewer: W.Splettstößer (Kaarst) MSC: 42C10 43A99 42B25 PDFBibTeX XMLCite \textit{F. Schipp} and \textit{W. R. Wade}, Appl. Anal. 34, No. 3--4, 203--218 (1989; Zbl 0727.42020) Full Text: DOI
Wade, William R. Walsh series in polar coordinates. (English) Zbl 0642.94003 Signaltheorie, Proc. 6. Symp., Aachen/FRG 1987, Inf.-Fachber. 153, 93-96 (1987). MSC: 94A11 42C10 PDFBibTeX XML
Wade, William R. Recent developments in the theory of Haar series. (English) Zbl 0642.42024 Colloq. Math. 52, 213-238 (1987). Reviewer: L.Leindler MSC: 42C10 PDFBibTeX XMLCite \textit{W. R. Wade}, Colloq. Math. 52, 213--238 (1987; Zbl 0642.42024) Full Text: DOI
Wade, W. R. A growth estimate for Cesàro partial sums of multiple Walsh-Fourier series. (English) Zbl 0625.42012 A. Haar Mem. Conf., Budapest/Hung. 1985, Colloq. Math. Soc. János Bolyai 49, 975-991 (1987). Reviewer: T.Šalát MSC: 42C10 42B99 PDFBibTeX XML
Wade, William R. A unified approach to uniqueness of Walsh series and Haar series. (English) Zbl 0614.42016 Proc. Am. Math. Soc. 99, 61-65 (1987). Reviewer: P.Chandra MSC: 42C10 43A75 PDFBibTeX XMLCite \textit{W. R. Wade}, Proc. Am. Math. Soc. 99, 61--65 (1987; Zbl 0614.42016) Full Text: DOI
Wade, William R. \(L^ r\) inequalities for Walsh series, \(0<r<1\). (English) Zbl 0533.42020 Acta Sci. Math. 46, 233-241 (1983). Reviewer: He Z MSC: 42C10 PDFBibTeX XMLCite \textit{W. R. Wade}, Acta Sci. Math. 46, 233--241 (1983; Zbl 0533.42020)
Wade, William R. Decay of Walsh series and dyadic differentiation. (English) Zbl 0516.42032 Trans. Am. Math. Soc. 277, 413-420 (1983). MSC: 42C10 PDFBibTeX XMLCite \textit{W. R. Wade}, Trans. Am. Math. Soc. 277, 413--420 (1983; Zbl 0516.42032) Full Text: DOI
Wade, W. R.; Yoneda, K. Erratum to “Uniqueness and quasi-measures on the group of integers of a p-series field”. (English) Zbl 0511.42032 Proc. Am. Math. Soc. 88, 378 (1983). MSC: 42C15 42C10 43A05 43A77 PDFBibTeX XMLCite \textit{W. R. Wade} and \textit{K. Yoneda}, Proc. Am. Math. Soc. 88, 378 (1983; Zbl 0511.42032) Full Text: DOI
Wade, William R. Walsh-Fourier coefficients and locally constant functions. (English) Zbl 0509.42033 Proc. Am. Math. Soc. 87, 434-438 (1983). MSC: 42C10 42A20 PDFBibTeX XMLCite \textit{W. R. Wade}, Proc. Am. Math. Soc. 87, 434--438 (1983; Zbl 0509.42033) Full Text: DOI
Wade, William R. Recent developments in the theory of Walsh series. (English) Zbl 0506.42024 Int. J. Math. Math. Sci. 5, 625-679 (1982). MSC: 42C10 43A75 PDFBibTeX XMLCite \textit{W. R. Wade}, Int. J. Math. Math. Sci. 5, 625--679 (1982; Zbl 0506.42024) Full Text: DOI EuDML
Wade, William R.; Yoneda, Kaoru Uniqueness and quasi-measures on the group of integers of a p-series field. (English) Zbl 0491.42027 Proc. Am. Math. Soc. 84, 202-206 (1982). MSC: 42C10 42C25 43A75 11S99 PDFBibTeX XMLCite \textit{W. R. Wade} and \textit{K. Yoneda}, Proc. Am. Math. Soc. 84, 202--206 (1982; Zbl 0491.42027) Full Text: DOI
Wade, W. R. Locally constant dyadic derivatives. (English) Zbl 0479.42021 Period. Math. Hung. 13, 71-74 (1982). MSC: 42C10 PDFBibTeX XMLCite \textit{W. R. Wade}, Period. Math. Hung. 13, 71--74 (1982; Zbl 0479.42021) Full Text: DOI
Powell, Charles H.; Wade, William R. Term by term dyadic differentiation. (English) Zbl 0416.42014 Can. J. Math. 33, 247-256 (1981). MSC: 42C10 26A24 PDFBibTeX XMLCite \textit{C. H. Powell} and \textit{W. R. Wade}, Can. J. Math. 33, 247--256 (1981; Zbl 0416.42014) Full Text: DOI
Wade, William R. Uniqueness of Walsh series which satisfy an averaged growth condition. (English) Zbl 0447.42017 SIAM J. Math. Anal. 11, 933-937 (1980). MSC: 42C10 PDFBibTeX XMLCite \textit{W. R. Wade}, SIAM J. Math. Anal. 11, 933--937 (1980; Zbl 0447.42017) Full Text: DOI
Wade, William R. Walsh series and growth of functions on nested dyadic intervals. (English) Zbl 0528.42010 J. Indian Math. Soc., New Ser. 43, 1-11 (1979). MSC: 42C10 26A24 PDFBibTeX XMLCite \textit{W. R. Wade}, J. Indian Math. Soc., New Ser. 43, 1--11 (1979; Zbl 0528.42010)
Skvortsov, V. A.; Wade, W. R. Generalization of some results concerning Walsh series and the dyadic derivative. (English) Zbl 0429.42011 Anal. Math. 5, 249-255 (1979). MSC: 42C10 26E30 12J25 PDFBibTeX XMLCite \textit{V. A. Skvortsov} and \textit{W. R. Wade}, Anal. Math. 5, 249--255 (1979; Zbl 0429.42011) Full Text: DOI
Wade, William R. \(H^{(n)}\)-sets for the group of integers of a p-series field. (English) Zbl 0422.43011 Harmonic analysis in Euclidean spaces, Part 2, Williamstown/Massachusetts 1978, Proc. Symp. Pure Math., Vol. 35, 325-328 (1979). MSC: 43A75 42A63 42C10 PDFBibTeX XML
Wade, William R. Sets of uniqueness for the group of integers of a p-series field. (English) Zbl 0415.43013 Can. J. Math. 31, 858-866 (1979). MSC: 43A50 42C10 PDFBibTeX XMLCite \textit{W. R. Wade}, Can. J. Math. 31, 858--866 (1979; Zbl 0415.43013) Full Text: DOI
Harris, David C.; Wade, William R. Sets of divergence on the group \(2^\omega\). (English) Zbl 0397.42015 Trans. Am. Math. Soc. 240, 385-392 (1978). MSC: 42C10 42C15 PDFBibTeX XMLCite \textit{D. C. Harris} and \textit{W. R. Wade}, Trans. Am. Math. Soc. 240, 385--392 (1978; Zbl 0397.42015) Full Text: DOI
Wade, W. R. Sets of uniqueness for Haar series. (English) Zbl 0376.42014 Acta Math. Acad. Sci. Hung. 30(1977), 265-281 (1978). MSC: 42C10 42A63 PDFBibTeX XMLCite \textit{W. R. Wade}, Acta Math. Acad. Sci. Hung. 30, 265--281 (1978; Zbl 0376.42014) Full Text: DOI
Wade, William R. Growth conditions and uniqueness for Walsh series. (English) Zbl 0337.42012 Mich. Math. J. 24, 153-155 (1977). MSC: 42C10 PDFBibTeX XMLCite \textit{W. R. Wade}, Mich. Math. J. 24, 153--155 (1977; Zbl 0337.42012) Full Text: DOI
Wade, William R. Haar and Walsh Fourier series of Perron integrable functions. (English) Zbl 0353.42011 J. Indian Math. Soc., n. Ser. 38(1974), 19-35 (1975). MSC: 42C10 28A20 33C45 40A99 42C15 PDFBibTeX XMLCite \textit{W. R. Wade}, J. Indian Math. Soc., New Ser. 38, 19--35 (1975; Zbl 0353.42011)
Wade, William R. Growth of Haar series on the dyadic rationals and uniqueness. (English) Zbl 0321.42009 Proc. Am. Math. Soc. 50, 198-201 (1975). MSC: 42C10 42A63 PDFBibTeX XMLCite \textit{W. R. Wade}, Proc. Am. Math. Soc. 50, 198--201 (1975; Zbl 0321.42009) Full Text: DOI
Wade, William R. Uniqueness and \(\alpha\)-capacity on the group \(2^\omega\). (English) Zbl 0305.42009 Trans. Am. Math. Soc. 208, 309-315 (1975). MSC: 42A63 42C25 42C10 43A50 PDFBibTeX XMLCite \textit{W. R. Wade}, Trans. Am. Math. Soc. 208, 309--315 (1975; Zbl 0305.42009) Full Text: DOI
Wade, William R. Uniqueness of Haar series which are (C,1) summable to Denjoy integrable functions. (English) Zbl 0262.42025 Trans. Am. Math. Soc. 176, 489-498 (1973). MSC: 42C10 42C25 42A24 40G05 PDFBibTeX XMLCite \textit{W. R. Wade}, Trans. Am. Math. Soc. 176, 489--498 (1973; Zbl 0262.42025) Full Text: DOI
Wade, William R. Uniqueness theory for Cesaro summable Haar series. (English) Zbl 0221.42011 Duke Math. J. 38, 221-227 (1971). MSC: 42C10 40G05 PDFBibTeX XMLCite \textit{W. R. Wade}, Duke Math. J. 38, 221--227 (1971; Zbl 0221.42011) Full Text: DOI
Wade, William R. Summing closed U-sets for Walsh series. (English) Zbl 0221.42010 Proc. Am. Math. Soc. 29, 123-125 (1971). MSC: 42C10 PDFBibTeX XMLCite \textit{W. R. Wade}, Proc. Am. Math. Soc. 29, 123--125 (1971; Zbl 0221.42010) Full Text: DOI