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Volumn 6, Issue 2, 2007, Pages 129-150

Gabor analysis on Wiener amalgams

Author keywords

summability; Gabor expansions; Gabor frames; Hardy Littlewood inequality; Herz space; Multipliers; Time frequency analysis; Walnut representation; Weiner amalgam spaces

Indexed keywords


EID: 34248655180     PISSN: 15306429     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (21)

References (29)
  • 1
    • 33751583099 scopus 로고    scopus 로고
    • Optimal stochastic encoding and approximation schemes using Weyl-Heisenberg sets
    • H. G. Feichtinger and T. Strohmer, editors, Birkhäuser, Boston
    • R. Balan and I. Daubechies, Optimal stochastic encoding and approximation schemes using Weyl-Heisenberg sets. In H. G. Feichtinger and T. Strohmer, editors, Advances in Gabor Analysis, Applied and Numerical Harmonic Analysis, 259-320, Birkhäuser, Boston, 2002.
    • (2002) Advances in Gabor Analysis, Applied and Numerical Harmonic Analysis , pp. 259-320
    • Balan, R.1    Daubechies, I.2
  • 3
    • 0001498106 scopus 로고
    • On convergence and growth of partial sums of Fourier series
    • L. Carleson, On convergence and growth of partial sums of Fourier series, Acta Math., 116, 135-157, 1966.
    • (1966) Acta Math , vol.116 , pp. 135-157
    • Carleson, L.1
  • 7
    • 84966261827 scopus 로고
    • On the convergence of multiple Fourier series
    • C. Fefferman, On the convergence of multiple Fourier series. Bull. Amer. Math. Soc., 77, 744-745, 1971.
    • (1971) Bull. Amer. Math. Soc , vol.77 , pp. 744-745
    • Fefferman, C.1
  • 8
    • 34248674536 scopus 로고    scopus 로고
    • H. G. Feichtinger, An elementary approach to Wiener's third Tauberian theorem for the Euclidean n-space. In Symposia Math., XXIX of Analisa Armonica, 267-301, Cortona, 1988.
    • H. G. Feichtinger, An elementary approach to Wiener's third Tauberian theorem for the Euclidean n-space. In Symposia Math., volume XXIX of Analisa Armonica, 267-301, Cortona, 1988.
  • 9
    • 33646570606 scopus 로고    scopus 로고
    • d) and norm summability of Fourier series and Fourier transforms
    • d) and norm summability of Fourier series and Fourier transforms, Monatshefte Math., 148, 333-349, 2006.
    • (2006) Monatshefte Math , vol.148 , pp. 333-349
    • Feichtinger, H.G.1    Weisz, F.2
  • 10
    • 33646352993 scopus 로고    scopus 로고
    • Wiener amalgams and pointwise summability of Fourier transforms and Fourier series
    • H. G. Feichtinger and F. Weisz, Wiener amalgams and pointwise summability of Fourier transforms and Fourier series, Math. Proc. Camb. Phil. Soc., 140, 509-536, 2006.
    • (2006) Math. Proc. Camb. Phil. Soc , vol.140 , pp. 509-536
    • Feichtinger, H.G.1    Weisz, F.2
  • 11
    • 34248676729 scopus 로고    scopus 로고
    • H. G. Feichtinger and G. Zimmermann, A Banach space of test functions for Gabor analysis. In H. G. Feichtinger and T. Strohmer, editors, Gabor Analysis and Algorithms. Theory and Applications, Applied and Numerical Harmonic Analysis, Ch. 3, 123-170, Birkhäuser, Boston, 1998.
    • H. G. Feichtinger and G. Zimmermann, A Banach space of test functions for Gabor analysis. In H. G. Feichtinger and T. Strohmer, editors, Gabor Analysis and Algorithms. Theory and Applications, Applied and Numerical Harmonic Analysis, Ch. 3, 123-170, Birkhäuser, Boston, 1998.
  • 12
    • 34250966994 scopus 로고
    • Untersuchungen über Fouriersche Reihen
    • L. Fejér, Untersuchungen über Fouriersche Reihen, Math. Annalen, 58, 51-69, 1904.
    • (1904) Math. Annalen , vol.58 , pp. 51-69
    • Fejér, L.1
  • 13
    • 84963057014 scopus 로고
    • A theory of Hardy spaces associated to the Herz spaces
    • J. Garcia-Cuerva and M.-J. L. Herrero, A theory of Hardy spaces associated to the Herz spaces, Proc. London Math. Soc., 69, 605-628, 1994.
    • (1994) Proc. London Math. Soc , vol.69 , pp. 605-628
    • Garcia-Cuerva, J.1    Herrero, M.-J.L.2
  • 19
    • 34248668897 scopus 로고    scopus 로고
    • C. Herz, Lipschitz spaces and Bernstein's theorem on absolutely convergent Fourier transforms, J. Math. Mech., 18, 283-324, 1968.
    • C. Herz, Lipschitz spaces and Bernstein's theorem on absolutely convergent Fourier transforms, J. Math. Mech., 18, 283-324, 1968.
  • 20
    • 0003031805 scopus 로고
    • On the convergence of Fourier series. In Orthogonal Expansions and their Continuous Analogues
    • Illinois Univ. Press, Carbondale
    • R. A. Hunt, On the convergence of Fourier series. In Orthogonal Expansions and their Continuous Analogues, Proc. Conf. Edwardsville, III., 1967, 235-255, Illinois Univ. Press, Carbondale, 1968.
    • (1967) Proc. Conf. Edwardsville , vol.3 , pp. 235-255
    • Hunt, R.A.1
  • 21
    • 84968484536 scopus 로고
    • A note on real interpolation of Hardy spaces in the polydisk
    • B. Jawerth and A. Torchinsky, A note on real interpolation of Hardy spaces in the polydisk, Proc. Amer. Math. Soc., 96, 227-232, 1986.
    • (1986) Proc. Amer. Math. Soc , vol.96 , pp. 227-232
    • Jawerth, B.1    Torchinsky, A.2
  • 22
    • 0345771684 scopus 로고    scopus 로고
    • Convergence and summability of Gabor expansions at the Nyquist density
    • Y. Lyubarskii and K. Seip, Convergence and summability of Gabor expansions at the Nyquist density, J. Fourier Anal. Appl., 5, 127-157, 1999.
    • (1999) J. Fourier Anal. Appl , vol.5 , pp. 127-157
    • Lyubarskii, Y.1    Seip, K.2
  • 23
    • 0000154126 scopus 로고
    • On the summability of double Fourier series
    • J. Marcinkiewicz and A. Zygmund, On the summability of double Fourier series,Fund. Math., 32, 122-132, 1939.
    • (1939) Fund. Math , vol.32 , pp. 122-132
    • Marcinkiewicz, J.1    Zygmund, A.2
  • 26
    • 34248683416 scopus 로고    scopus 로고
    • Strong summability of two-dimensional trigonometric-Fourier series
    • F. Weisz, Strong summability of two-dimensional trigonometric-Fourier series, Annales Univ. Sci. Budapest Eötvös, Sect. Comp., 16, 391-406, 1996.
    • (1996) Annales Univ. Sci. Budapest Eötvös, Sect. Comp , vol.16 , pp. 391-406
    • Weisz, F.1
  • 27
    • 0002017406 scopus 로고    scopus 로고
    • Two-parameter Hardy-Littlewood inequalities
    • F. Weisz, Two-parameter Hardy-Littlewood inequalities, Studia Math., 118 , 175-184, 1996.
    • (1996) Studia Math , vol.118 , pp. 175-184
    • Weisz, F.1
  • 29
    • 84953751498 scopus 로고    scopus 로고
    • 3rd edition, Cambridge Press, London
    • A. Zygmund, Trigonometric Series, 3rd edition, Cambridge Press, London, 2002.
    • (2002) Trigonometric Series
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.