Normed spaces of generalized functions

J. B. Miller

Compositio Mathematica (1962-1964)

  • Volume: 15, page 127-146
  • ISSN: 0010-437X

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Miller, J. B.. "Normed spaces of generalized functions." Compositio Mathematica 15 (1962-1964): 127-146. <http://eudml.org/doc/88868>.

@article{Miller1962-1964,
author = {Miller, J. B.},
journal = {Compositio Mathematica},
keywords = {functional analysis},
language = {eng},
pages = {127-146},
publisher = {Kraus Reprint},
title = {Normed spaces of generalized functions},
url = {http://eudml.org/doc/88868},
volume = {15},
year = {1962-1964},
}

TY - JOUR
AU - Miller, J. B.
TI - Normed spaces of generalized functions
JO - Compositio Mathematica
PY - 1962-1964
PB - Kraus Reprint
VL - 15
SP - 127
EP - 146
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/88868
ER -

References

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  1. E. Hille and R.S. Phillips, [1] Functional analysis and semigroups (American Mathematical Society Colloquium PublicationXXXI, 1957). Zbl0078.10004MR89373
  2. A.P. Guinand, [2] "Reciprocal convergence classes for Fourier series and integrals" , Canadian J. of Math.13 (1961) 19-36. Zbl0178.15603MR123143
  3. R.R. Goldberg, [3] "Spaces of convolutions and fractional integrals". J. Math. Anal. and Appl.3 (1961) 336-343. Zbl0103.07805MR146604
  4. E.R. Love, [4] "A Banach space of distributions", I and II, J. London Math. Soc.32 (1957) 483-498, 33 (1958) 288-306. Zbl0083.10803MR90024
  5. J.B. Miller, [5] "A continuum of Hilbert spaces on L2", Proc. London Math. Soc. (3) 8 (1958) 224-241. Zbl0085.09101
  6. J.B. Miller, [6] "Hilbert spaces of generalized functions extending L2, (I)", J. Australian Math. Soc.1 (1960) 281-298. Zbl0131.32603MR124737
  7. J.B. Miller, [7] "A class of series involving integral kernels", I and II, Math. Zeitschr.76 (1961) 257-269 and 79 (1962) 227-236. Zbl0102.28803MR130539
  8. J.B. Miller, [8] "On the solution of certain integral equations by generalized functions ", Proc. Camb. Phil. Soc.57 (1961), 767-777. Zbl0148.10703MR130541
  9. M.A. Naimark, [9] Normed rings (Noordhoff, Groningen, 1959). Zbl0089.10102MR355601
  10. C.E. Rickart, [10] General theory of Banach algebras (Van Nostrand, Princeton, 1960). Zbl0095.09702MR115101
  11. I.E. Segal, [11] "The class of functions which are absolutely convergent Fourier transforms", Acta Sci. Math.12 (1950) 157-161. Zbl0036.20501MR36943
  12. A.E. Taylor and C.J.A. Halberg, Jr., [12] "General theorems about a bounded linear operator and its conjugate", J. für reine u. angew. Math.198 (1957) 93-111. Zbl0078.10301MR94713
  13. D.V. Widder, [18] The Laplace transform (Princeton, 1946). Zbl0063.08245JFM67.0384.01
  14. A.C. Zaanen, [14] Linear analysis (Noordhoff, Groningen, 1956). 

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