On the identity of minimal and maximal realizations related to Fourier series operators

Jouko Tervo

Mathematica Slovaca (1991)

  • Volume: 41, Issue: 4, page 359-378
  • ISSN: 0232-0525

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Tervo, Jouko. "On the identity of minimal and maximal realizations related to Fourier series operators." Mathematica Slovaca 41.4 (1991): 359-378. <http://eudml.org/doc/32208>.

@article{Tervo1991,
author = {Tervo, Jouko},
journal = {Mathematica Slovaca},
keywords = {essential maximality; pseudo-differential operators; Fourier series operator; periodic distributions; Fourier coefficient},
language = {eng},
number = {4},
pages = {359-378},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the identity of minimal and maximal realizations related to Fourier series operators},
url = {http://eudml.org/doc/32208},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Tervo, Jouko
TI - On the identity of minimal and maximal realizations related to Fourier series operators
JO - Mathematica Slovaca
PY - 1991
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 41
IS - 4
SP - 359
EP - 378
LA - eng
KW - essential maximality; pseudo-differential operators; Fourier series operator; periodic distributions; Fourier coefficient
UR - http://eudml.org/doc/32208
ER -

References

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  2. BERGH J., LÖFSTRÖM J., Interpolation Spaces, Die Grundlehren deг mathematischen Wissenschaften 223. Spгingeг-Verlag, Beгlin-Heidelberg-New York, 1976. (1976) Zbl0344.46071
  3. BERS L., SCHECHTER M., Elliptic equations, In: Partial diffeгential equations, by L. Bers, F.John, and M. Schechter. Lectures in applied mathematics (summer seminaг, Bouldeг (Colorado), 1957 III. Inteгscience Publishers, a division of John Willey and Sons, Inc, New Yoгk-London-Sydney, 1964, pp. 131-299. (1957) MR0165224
  4. EELLS J., Elliptic operatoгs on manifolds, Complex analysis and its applications I. International Centre for Theoretical Physics, Trieste. lnternatinal Atomic Energy Agency, Viena, 1976. (1976) MR0482861
  5. HÖRMANDER L., Linear Partial Differential Operators, Die Gгundlehren der mathematischen Wissenschaften 116. Springer-Verlag, Beгlin-Göttingen-Heidelbeгg, 1963. (1963) Zbl0108.09301MR0161012
  6. KULESHOV A. A., Linear equations in space of periodic generalized functions, Diffeг. Uгavn. 20 (1984), 308-315. (1984) MR0735164
  7. POLIŠČUK V. N., PTAŠNIK B. I., Peгiodic solutions of the system of paгtial diffeгential equations with constant coefficients, Ukr. Math. J. 32 (1980), 239-243. (1980) 
  8. TERVO J., Zuг Theorie der koerzitiven linearen partiellen Differentialoperatoren, Ann. Acad. Sci. Fenn., Ser. A. I, Diss. 45 (1983). (1983) MR0697953
  9. TERVO J., On compactness of Fourier series operators, Ber. Univ. Jyväskylä Math. Inst. 38 (1987). (1987) MR0904273
  10. YOSIDA K., Functional Analysis, Die Grundlehren der mathematishen Wissenschaften 123. Springer-Verlag, Berlin-Heidelberg-New York, 1974. (1974) Zbl0286.46002MR0350358

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