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Volumn 41, Issue 3, 2004, Pages 681-691

Counterexamples for boundedness of pseudodifferential operators

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EID: 10244245498     PISSN: 00306126     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (28)

References (33)
  • 1
    • 3542997464 scopus 로고    scopus 로고
    • Bilinear pseudodifferential operators on modulation spaces
    • A. Bényi and K. Okoudjou: Bilinear pseudodifferential operators on modulation spaces, J. Fourier Anal. Appl. 10 (2004), 301-313.
    • (2004) J. Fourier Anal. Appl. , vol.10 , pp. 301-313
    • Bényi, A.1    Okoudjou, K.2
  • 2
    • 0003647398 scopus 로고
    • Spectral theory of self-adjoint operators in Hubert space
    • translated from the 1980 Russian original by S. Khrushchev and V. Peller, D. Reidel, Dordrecht
    • M.S. Birman and M.Z. Solomjak: Spectral theory of self-adjoint operators in Hubert space, translated from the 1980 Russian original by S. Khrushchev and V. Peller, Mathematics and its Applications (Soviet Series), D. Reidel, Dordrecht, 1987.
    • (1987) Mathematics and Its Applications (Soviet Series)
    • Birman, M.S.1    Solomjak, M.Z.2
  • 3
    • 0031286854 scopus 로고    scopus 로고
    • Remarks on a Wiener type pseudodifferential algebra and Fourier integral operators
    • A. Boulkhemair: Remarks on a Wiener type pseudodifferential algebra and Fourier integral operators. Math. Res. Lett. 4 (1997), 53-67.
    • (1997) Math. Res. Lett. , vol.4 , pp. 53-67
    • Boulkhemair, A.1
  • 5
    • 0347530273 scopus 로고    scopus 로고
    • Time-frequency analysis of localization operators
    • E. Cordero and K. Gröchenig: Time-frequency analysis of localization operators, J. Funct. Anal. 205 (2003), 107-131.
    • (2003) J. Funct. Anal. , vol.205 , pp. 107-131
    • Cordero, E.1    Gröchenig, K.2
  • 6
    • 0002647955 scopus 로고
    • On the distributions corresponding to bounded operators in the Weyl quantization
    • I. Daubechies: On the distributions corresponding to bounded operators in the Weyl quantization, Comm. Math. Phys. 75 (1980), 229-238.
    • (1980) Comm. Math. Phys. , vol.75 , pp. 229-238
    • Daubechies, I.1
  • 8
    • 0041191884 scopus 로고
    • Banach spaces of distributions of Wiener's type and interpolation
    • Functional Analysis and Approximation (Oberwolfach, 1980), Birkhäuser, Basel
    • H.G. Feichtinger: Banach spaces of distributions of Wiener's type and interpolation, in Functional Analysis and Approximation (Oberwolfach, 1980), Internat. Ser. Numer. Math. 60, Birkhäuser, Basel, 1981, 153-165.
    • (1981) Internat. Ser. Numer. Math. , vol.60 , pp. 153-165
    • Feichtinger, H.G.1
  • 9
    • 0000765279 scopus 로고
    • On a new Segal algebra
    • H.G. Feichtinger: On a new Segal algebra, Monatsh. Math. 92 (1981), 269-289.
    • (1981) Monatsh. Math. , vol.92 , pp. 269-289
    • Feichtinger, H.G.1
  • 10
    • 84881084569 scopus 로고
    • Atomic characterizations of modulation spaces through Gabor-type representations
    • H.G. Feichtinger: Atomic characterizations of modulation spaces through Gabor-type representations. Rocky Mountain J. Math. 19 (1989), 113-125.
    • (1989) Rocky Mountain J. Math. , vol.19 , pp. 113-125
    • Feichtinger, H.G.1
  • 11
    • 0001242228 scopus 로고
    • Banach spaces related to integrable group representations and their atomic decompositions, I
    • H.G. Feichtinger and K. Gröchenig: Banach spaces related to integrable group representations and their atomic decompositions, I, J. Funct. Anal. 86 (1989), 307-340.
    • (1989) J. Funct. Anal. , vol.86 , pp. 307-340
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 12
    • 0001736922 scopus 로고
    • Banach spaces related to integrable group representations and their atomic decompositions, II
    • H.G. Feichtinger and K. Gröchenig: Banach spaces related to integrable group representations and their atomic decompositions, II, Monatsh. Math. 108 (1989), 129-148.
    • (1989) Monatsh. Math. , vol.108 , pp. 129-148
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 13
    • 0031161747 scopus 로고    scopus 로고
    • Gabor frames and time-frequency analysis of distributions
    • H.G. Feichtinger and K. Gröchenig: Gabor frames and time-frequency analysis of distributions, J. Funct. Anal. 146 (1997), 464-495.
    • (1997) J. Funct. Anal. , vol.146 , pp. 464-495
    • Feichtinger, H.G.1    Gröchenig, K.2
  • 15
    • 0030472638 scopus 로고    scopus 로고
    • An uncertainty principle related to the Poisson summation formula
    • K. Gröchenig: An uncertainty principle related to the Poisson summation formula, Studia Math. 121 (1996), 87-104.
    • (1996) Studia Math. , vol.121 , pp. 87-104
    • Gröchenig, K.1
  • 17
    • 0001268522 scopus 로고    scopus 로고
    • Modulation spaces and pseudodifferential operators
    • K. Gröchenig and C. Heil: Modulation spaces and pseudodifferential operators. Integral Equations Operator Theory, 34 (1999), 439-457.
    • (1999) Integral Equations Operator Theory , vol.34 , pp. 439-457
    • Gröchenig, K.1    Heil, C.2
  • 18
    • 1442281669 scopus 로고    scopus 로고
    • Integral operators, pseudodifferential operators, and Gabor frames
    • H.G. Feichtinger and T. Strohmer, eds., Birkhäuser, Boston
    • C. Heil: Integral operators, pseudodifferential operators, and Gabor frames, in Advances in Gabor analysis, H.G. Feichtinger and T. Strohmer, eds., Birkhäuser, Boston (2003), 153-169.
    • (2003) Advances in Gabor Analysis , pp. 153-169
    • Heil, C.1
  • 19
    • 0031281186 scopus 로고    scopus 로고
    • Singular values of compact pseudodifferential operators
    • C. Heil, J. Ramanathan, and P. Topiwala: Singular values of compact pseudodifferential operators. J. Funct. Anal. 150 (1997), 426-452.
    • (1997) J. Funct. Anal. , vol.150 , pp. 426-452
    • Heil, C.1    Ramanathan, J.2    Topiwala, P.3
  • 20
    • 84980189803 scopus 로고
    • The Weyl calculus of pseudodifferential operators
    • L. Hörmander: The Weyl calculus of pseudodifferential operators, Comm. Pure Appl. Math. 32 (1979), 360-444.
    • (1979) Comm. Pure Appl. Math. , vol.32 , pp. 360-444
    • Hörmander, L.1
  • 23
    • 0005587387 scopus 로고    scopus 로고
    • Time-frequency analysis of pseudodifferential operators
    • D. Labate: Time-frequency analysis of pseudodifferential operators. Monatshefte Math. 133 (2001), 143-156.
    • (2001) Monatshefte Math. , vol.133 , pp. 143-156
    • Labate, D.1
  • 24
    • 0042699344 scopus 로고    scopus 로고
    • Pseudodifferential operators on modulation spaces
    • D. Labate: Pseudodifferential operators on modulation spaces. J. Math. Anal. Appl. 262 (2001), 242-255.
    • (2001) J. Math. Anal. Appl. , vol.262 , pp. 242-255
    • Labate, D.1
  • 25
    • 2442713801 scopus 로고    scopus 로고
    • Embeddings of some classical Banach spaces into modulation spaces
    • K. Okoudjou: Embeddings of some classical Banach spaces into modulation spaces, Proc. Amer. Math. Soc. 132 (2004), 1639-1647.
    • (2004) Proc. Amer. Math. Soc. , vol.132 , pp. 1639-1647
    • Okoudjou, K.1
  • 26
    • 0039877935 scopus 로고
    • Interpolation and non-commutative integration
    • J. Peetre and G. Sparr: Interpolation and non-commutative integration, Ann. Mat. Pura Appl. 104 (1975), 187-207.
    • (1975) Ann. Mat. Pura Appl. , vol.104 , pp. 187-207
    • Peetre, J.1    Sparr, G.2
  • 27
    • 0002379655 scopus 로고
    • Mathematical aspects of the Weyl correspondence
    • J.C.T. Pool: Mathematical aspects of the Weyl correspondence, J. Mathematical Phys. 7 (1966), 66-76.
    • (1966) J. Mathematical Phys. , vol.7 , pp. 66-76
    • Pool, J.C.T.1
  • 28
    • 0002887510 scopus 로고    scopus 로고
    • Pseudodifferential operators, Gabor frames, and local trigonometric bases
    • H.G. Feichtinger and T. Strohmer, eds., Birkhäuser, Boston
    • R. Rochberg and K. Tachizawa: Pseudodifferential operators, Gabor frames, and local trigonometric bases, in Gabor analysis and algorithms -Theory and applications, H.G. Feichtinger and T. Strohmer, eds., Birkhäuser, Boston (1997) 171-192.
    • (1997) Gabor Analysis and Algorithms -Theory and Applications , pp. 171-192
    • Rochberg, R.1    Tachizawa, K.2
  • 30
    • 0010962943 scopus 로고
    • An algebra of pseudodifferential operators
    • J. Sjöstrand: An algebra of pseudodifferential operators, Math. Res. Lett. 1 (1994), 185-192.
    • (1994) Math. Res. Lett. , vol.1 , pp. 185-192
    • Sjöstrand, J.1
  • 32
    • 0003279036 scopus 로고    scopus 로고
    • Subalgebras to a Wiener type algebra of pseudo-differential operators
    • J. Toft: Subalgebras to a Wiener type algebra of pseudo-differential operators, Ann. Inst. Fourier (Grenoble), 51 (2001), 1347-1383.
    • (2001) Ann. Inst. Fourier (Grenoble) , vol.51 , pp. 1347-1383
    • Toft, J.1
  • 33
    • 1242294479 scopus 로고    scopus 로고
    • Continuity properties for modulation spaces, with applications to pseudodifferential operators, I
    • J. Toft: Continuity properties for modulation spaces, with applications to pseudodifferential operators, I, J. Funct. Anal. 207 (2004), 399-429.
    • (2004) J. Funct. Anal. , vol.207 , pp. 399-429
    • Toft, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.