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Operators with complex Gaussian kernels: boundedness properties
Author:
E. R. Negrín
Journal:
Proc. Amer. Math. Soc. 123 (1995), 1185-1190
MSC:
Primary 47G10; Secondary 47B38
MathSciNet review:
1227527
Full-text PDF Free Access
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Additional Information
Abstract: Boundedness properties are stated for some operators from into , with complex Gaussian kernels. Their contraction properties are also analysed.
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- [1]
- J. C. Baez, I. E. Segal, and Z. Zhou, Introduction to algebraic and constructive quantum field theory, Princeton Ser. Phys., Princeton Univ. Press, Princeton, NJ, 1992. MR 1178936 (93m:81002)
- [2]
- J. B. Epperson, The hypercontractive approach to exactly bounding an operator with complex Gaussian kernel, J. Funct. Anal. 87 (1989), 1-30. MR 1025881 (91h:42016)
- [3]
- G. B. Folland, Harmonic analysis in phase space, Ann. of Math. (2) 122 (1989). MR 983366 (92k:22017)
- [4]
- R. E. Howe, The oscillator semigroup, The Mathematical Heritage of Hermann Weyl (Durham, NC, 1987), Proc. Sympos. Pure Math., vol. 48, Amer. Math. Soc., Providence, RI, 1988, pp. 61-132. MR 974332 (90f:22014)
- [5]
- E. H. Lieb, Gaussian kernels have only Gaussian maximizers, Invent. Math. 102 (1990), 179-208. MR 1069246 (91i:42014)
- [6]
- F. B. Weissler, Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup, J. Funct. Anal. 32 (1979), 102-121. MR 533222 (80e:47037)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1995-1227527-5
PII:
S 0002-9939(1995)1227527-5
Keywords:
Lebesgue measure,
bounded operator,
contraction,
Gaussian kernels
Article copyright:
© Copyright 1995 American Mathematical Society
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