# On the representation of functions by orthogonal series in weighted ${L}^{p}$ spaces

Studia Mathematica (1999)

- Volume: 134, Issue: 3, page 207-216
- ISSN: 0039-3223

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topGrigorian, M.. "On the representation of functions by orthogonal series in weighted $L^p$ spaces." Studia Mathematica 134.3 (1999): 207-216. <http://eudml.org/doc/216634>.

@article{Grigorian1999,

author = {Grigorian, M.},

journal = {Studia Mathematica},

keywords = {representation of functions by orthogonal series; weighted spaces; complete orthonormal system},

language = {eng},

number = {3},

pages = {207-216},

title = {On the representation of functions by orthogonal series in weighted $L^p$ spaces},

url = {http://eudml.org/doc/216634},

volume = {134},

year = {1999},

}

TY - JOUR

AU - Grigorian, M.

TI - On the representation of functions by orthogonal series in weighted $L^p$ spaces

JO - Studia Mathematica

PY - 1999

VL - 134

IS - 3

SP - 207

EP - 216

LA - eng

KW - representation of functions by orthogonal series; weighted spaces; complete orthonormal system

UR - http://eudml.org/doc/216634

ER -

## References

top- [1] N. K. Bari, Trigonometric Series, Fizmatgiz, Moscow, 1961 (in Russian).
- [2] M. G. Grigorian, On convergence of Fourier series in complete orthonormal systems in the ${L}^{1}$ metric and almost everywhere, Mat. Sb. 181 (1990), 1011-1030 (in Russian); English transl.: Math. USSR-Sb. 70 (1991), 445-466.
- [3] M. G. Grigorian, On the convergence of Fourier series in the metric of ${L}^{1}$, Anal. Math. 17 (1991), 211-237. Zbl0754.42006
- [4] M. G. Grigorian, On some properties of orthogonal systems, Izv. Ross. Akad. Nauk Ser. Mat. 57 (1993), no. 5, 75-105.
- [5] N. N. Luzin, On the fundamental theorem of the integral calculus, Mat. Sb. 28 (1912), 266-294 (in Russian).
- [6] D. E. Men'shov, On Fourier series of integrable functions, Trudy Moskov. Mat. Obshch. 1 (1952), 5-38.

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