Generalized Herglotz theorem in vector lattices

Miloslav Duchoň

Mathematica Slovaca (1996)

  • Volume: 46, Issue: 5, page 531-540
  • ISSN: 0232-0525

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Duchoň, Miloslav. "Generalized Herglotz theorem in vector lattices." Mathematica Slovaca 46.5 (1996): 531-540. <http://eudml.org/doc/34449>.

@article{Duchoň1996,
author = {Duchoň, Miloslav},
journal = {Mathematica Slovaca},
keywords = {Fourier-Stieltjes series; vector lattice; positive definiteness; Herglotz theorem; lattice-valued measure},
language = {eng},
number = {5},
pages = {531-540},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Generalized Herglotz theorem in vector lattices},
url = {http://eudml.org/doc/34449},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Duchoň, Miloslav
TI - Generalized Herglotz theorem in vector lattices
JO - Mathematica Slovaca
PY - 1996
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 46
IS - 5
SP - 531
EP - 540
LA - eng
KW - Fourier-Stieltjes series; vector lattice; positive definiteness; Herglotz theorem; lattice-valued measure
UR - http://eudml.org/doc/34449
ER -

References

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  1. BROCKWELL P. J.-DAVIS R. A., Times Series: Theory and Methods, Springer-Verlag, Berlin, 1987. (1987) MR0868859
  2. CRISTESCU R., Ordered Vector Spaces and Linear Operators, Abacus Press, Kent. 1976. (1976) Zbl0322.46010MR0467238
  3. CRISTESCU R., Representation of linear operators on spaces of vectoг valued functions, Math. Slovaca 34 (1984), 405-409. (1984) MR0775249
  4. EDWARDS R. E., Fourier Series II, (2nd ed.), Springer-Verlag, Berlin, 1982. (1982) MR0667519
  5. KATZNELSON Y., An Introduction to Harmonic Analysis, (2nd ed.), Dower Publications Inc, New York, 1976. (1976) Zbl0352.43001MR0422992

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