Certain function spaces related to the metaplectic representation

Krzysztof Nowak

Colloquium Mathematicae (1998)

  • Volume: 76, Issue: 1, page 143-152
  • ISSN: 0010-1354

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Nowak, Krzysztof. "Certain function spaces related to the metaplectic representation." Colloquium Mathematicae 76.1 (1998): 143-152. <http://eudml.org/doc/210546>.

@article{Nowak1998,
author = {Nowak, Krzysztof},
journal = {Colloquium Mathematicae},
keywords = {Schatten classes; local Toeplitz operators; singular values; mixed norm spaces; convolution-product operators; product-convolution operator; Schatten class; Wiener amalgam spaces; metaplectic representation},
language = {eng},
number = {1},
pages = {143-152},
title = {Certain function spaces related to the metaplectic representation},
url = {http://eudml.org/doc/210546},
volume = {76},
year = {1998},
}

TY - JOUR
AU - Nowak, Krzysztof
TI - Certain function spaces related to the metaplectic representation
JO - Colloquium Mathematicae
PY - 1998
VL - 76
IS - 1
SP - 143
EP - 152
LA - eng
KW - Schatten classes; local Toeplitz operators; singular values; mixed norm spaces; convolution-product operators; product-convolution operator; Schatten class; Wiener amalgam spaces; metaplectic representation
UR - http://eudml.org/doc/210546
ER -

References

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  1. [Fe] H. G. Feichtinger, Wiener amalgams over Euclidean spaces and some of their applications, in: Lecture Notes in Pure and Appl. Math. 136, K. Jarosz (ed.) Dekker, 1992, 123-137. 
  2. [F] G. B. Folland, Harmonic Analysis in Phase Space, Ann. Math. Stud. 122, Princeton Univ. Press, Princeton, N.J., 1989. Zbl0682.43001
  3. [HH] J. Hilgert and K. Hofmann, Old and new on SL(2,ℝ), Manuscripta Math. 54 (1985), 17-52. Zbl0605.22004
  4. [N1] K. Nowak, Singular value estimates for certain convolution-product operators, J. Fourier Anal. Appl. 3 (1995), 297-310. Zbl0894.45002
  5. [N2] K. Nowak, Local Toeplitz operators based on wavelets: phase space patterns for rough wavelets, Studia Math. 119 (1996), 37-64. Zbl0864.47012
  6. [R] R. Rochberg, The use of decomposition theorems in the study of operators, in: Wavelets: Mathematics and Applications, J. J. Benedetto and M. Frazier (eds.), CRC Press, 1994, 547-570. Zbl0901.47016
  7. [S] B. Simon, Trace Ideals and Their Applications, Cambridge Univ. Press, London, 1979. Zbl0423.47001
  8. [St] E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Univ. Press, Princeton, 1993. 

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