Eriksson-Bique, Sylvester; Gill, James T.; Lahti, Panu; Shanmugalingam, Nageswari Asymptotic behavior of \(BV\) functions and sets of finite perimeter in metric measure spaces. (English) Zbl 1476.30186 Trans. Am. Math. Soc. 374, No. 11, 8201-8247 (2021). MSC: 30L99 26A45 31E05 43A85 PDFBibTeX XMLCite \textit{S. Eriksson-Bique} et al., Trans. Am. Math. Soc. 374, No. 11, 8201--8247 (2021; Zbl 1476.30186) Full Text: DOI arXiv
Arredondo, Juan H.; Mendoza, Francisco J.; Reyes, Alfredo On the norm continuity of the HK-Fourier transform. (English) Zbl 1401.26019 Electron. Res. Announc. Math. Sci. 25, 36-47 (2018). MSC: 26A39 26A42 26A45 43A32 PDFBibTeX XMLCite \textit{J. H. Arredondo} et al., Electron. Res. Announc. Math. Sci. 25, 36--47 (2018; Zbl 1401.26019) Full Text: DOI
Berkson, Earl; Gillespie, T. A. The \(q\)-variation of functions and spectral integration from dominated ergodic estimates. (English) Zbl 1052.43005 J. Fourier Anal. Appl. 10, No. 2, 149-177 (2004). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 43A22 42A45 46E30 47A35 47B40 47A60 PDFBibTeX XMLCite \textit{E. Berkson} and \textit{T. A. Gillespie}, J. Fourier Anal. Appl. 10, No. 2, 149--177 (2004; Zbl 1052.43005) Full Text: DOI
Song, Yingqing; Yang, Xiaoping The compactness theorem of \(\text{SBV}_H(\Omega)\) in the Heisenberg group \(H^n\). (English) Zbl 1094.49013 J. Partial Differ. Equations 16, No. 2, 148-156 (2003). Reviewer: Ada Bottaro Aruffo (MR 2004g:26008) MSC: 49J45 26B30 43A80 26A45 PDFBibTeX XMLCite \textit{Y. Song} and \textit{X. Yang}, J. Partial Differ. Equations 16, No. 2, 148--156 (2003; Zbl 1094.49013)
Berezhnoj, E. I. Spaces of functions of generalized bounded variation. I. Embedding theorems. Estimates for Lebesgue constants. (English. Russian original) Zbl 0944.46025 Sib. Math. J. 40, No. 5, 837-850 (1999); translation from Sib. Mat. Zh. 40, No. 5, 997-1011 (1999). Reviewer: V.Grebenev (Novosibirsk) MSC: 46E35 46E30 42A16 42A20 43A50 PDFBibTeX XMLCite \textit{E. I. Berezhnoj}, Sib. Math. J. 40, No. 5, 997--1011 (1999; Zbl 0944.46025); translation from Sib. Mat. Zh. 40, No. 5, 997--1011 (1999)
Baker, J. W.; Lashkarizadeh-Bami, M. The \(L^{\infty{}}\)-representation algebra of an idempotent topological semigroup. (English) Zbl 0779.43001 Semigroup Forum 46, No. 1, 32-36 (1993). Reviewer: N.J.Rothman (Indianapolis) MSC: 43A15 22A25 43A05 PDFBibTeX XMLCite \textit{J. W. Baker} and \textit{M. Lashkarizadeh-Bami}, Semigroup Forum 46, No. 1, 32--36 (1993; Zbl 0779.43001) Full Text: DOI EuDML
Kolesárová, Anna Fourier transforms of vector-valued measures on certain compact semigroups. (English) Zbl 0691.43004 Measure theory, Proc. 1st Winter Sch., Liptovský Ján/Czech. 1988, 64-67 (1988). Reviewer: K.Musiał MSC: 43A30 43A05 28C10 PDFBibTeX XML
Blei, Ron Functions of bounded variation and fractional dimension. (English) Zbl 0526.46030 Harmonic analysis, Proc. Conf., Cortona/Italy 1982, Lect. Notes Math. 992, 309-322 (1983). MSC: 46C99 43A46 26A45 PDFBibTeX XML
Agaev, G. N.; Vilenkin, N. Ya.; Dzhafarli, G. M.; Rubinshteĭn, A. I. Multiplicative systems of functions and harmonic analysis on zero-dimensional groups. (Мультипликативные системы функций и гармонический анализ на нульмерных группах.) (Russian) Zbl 0588.43001 Baku: ”Èlm”. 180 p. R. 2.00 (1981). MSC: 43-02 42-02 42C10 43A75 22A10 33C45 22A05 22C05 PDFBibTeX XML
Sleijpen, Gerard L. G. The dual of the space of measures with continuous translations. (English) Zbl 0512.46029 Semigroup Forum 22, 139-150 (1981). MSC: 46E27 46E30 43A05 PDFBibTeX XMLCite \textit{G. L. G. Sleijpen}, Semigroup Forum 22, 139--150 (1981; Zbl 0512.46029) Full Text: DOI EuDML
de Korvin, Andre; Roberts, Charles E. jun. Measures representing valuation maps on functions of bounded variation over idempotent semigroups. (English) Zbl 0477.46033 J. Math. Anal. Appl. 83, 224-237 (1981). MSC: 46E40 46G10 28C10 43A05 28A35 PDFBibTeX XMLCite \textit{A. de Korvin} and \textit{C. E. Roberts jun.}, J. Math. Anal. Appl. 83, 224--237 (1981; Zbl 0477.46033) Full Text: DOI
Atzmon, Aharon Spectral synthesis in some spaces of bounded continuous functions. (English) Zbl 0396.43018 Pac. J. Math. 74, 277-284 (1978). MSC: 43A45 PDFBibTeX XMLCite \textit{A. Atzmon}, Pac. J. Math. 74, 277--284 (1978; Zbl 0396.43018) Full Text: DOI
Benke, George Smoothness and absolute convergence of Fourier series in compact totally disconnected groups. (English) Zbl 0392.43008 J. Funct. Anal. 29, 319-327 (1978). MSC: 43A50 43A15 42A20 PDFBibTeX XMLCite \textit{G. Benke}, J. Funct. Anal. 29, 319--327 (1978; Zbl 0392.43008) Full Text: DOI
Maserick, P. H. BV-functions, positiv-definite functions and moment problems. (English) Zbl 0314.43009 Trans. Am. Math. Soc. 214, 137-152 (1975). MSC: 43A35 26A45 PDFBibTeX XMLCite \textit{P. H. Maserick}, Trans. Am. Math. Soc. 214, 137--152 (1975; Zbl 0314.43009) Full Text: DOI
Alò, Richard A.; De Korvin, A. Functions of bounded variation on idempotent semigroups. (English) Zbl 0211.15303 Math. Ann. 194, 1-11 (1971). MSC: 43A40 26B30 PDFBibTeX XMLCite \textit{R. A. Alò} and \textit{A. De Korvin}, Math. Ann. 194, 1--11 (1971; Zbl 0211.15303) Full Text: DOI EuDML
Gel’fand, I. M.; Raĭkov, D. A.; Shilov, G. E. Commutative normed rings. (Коммутативные нормированные кольца.) (Russian) Zbl 0134.32102 Sovremennye Problemy Matematiki Gosudarstv. Moskau: Fizmatgiz. 316 p. (1960). Reviewer: V. Ganapathy Iyer MSC: 46-02 43-02 PDFBibTeX XML