# Some eigenvalue estimates for wavelet related Toeplitz operators

Colloquium Mathematicae (1993)

- Volume: 65, Issue: 1, page 149-156
- ISSN: 0010-1354

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topNowak, Krzysztof. "Some eigenvalue estimates for wavelet related Toeplitz operators." Colloquium Mathematicae 65.1 (1993): 149-156. <http://eudml.org/doc/210199>.

@article{Nowak1993,

abstract = {By a straightforward computation we obtain eigenvalue estimates for Toeplitz operators related to the two standard reproducing formulas of the wavelet theory. Our result extends the estimates for Calderón-Toeplitz operators obtained by Rochberg in [R2]. In the first section we recall two standard reproducing formulas of the wavelet theory, we define Toeplitz operators and discuss some of their properties. The second section contains precise statements of our results and their proofs. At the end of the second section we include some comments about the range of applicability of our estimates.},

author = {Nowak, Krzysztof},

journal = {Colloquium Mathematicae},

keywords = {Schrödinger representation; eigenvalue estimates; Toeplitz operators; eigenvalue estimates for Toeplitz operators; reproducing formulas; wavelet theory; Calderón-Toeplitz operators},

language = {eng},

number = {1},

pages = {149-156},

title = {Some eigenvalue estimates for wavelet related Toeplitz operators},

url = {http://eudml.org/doc/210199},

volume = {65},

year = {1993},

}

TY - JOUR

AU - Nowak, Krzysztof

TI - Some eigenvalue estimates for wavelet related Toeplitz operators

JO - Colloquium Mathematicae

PY - 1993

VL - 65

IS - 1

SP - 149

EP - 156

AB - By a straightforward computation we obtain eigenvalue estimates for Toeplitz operators related to the two standard reproducing formulas of the wavelet theory. Our result extends the estimates for Calderón-Toeplitz operators obtained by Rochberg in [R2]. In the first section we recall two standard reproducing formulas of the wavelet theory, we define Toeplitz operators and discuss some of their properties. The second section contains precise statements of our results and their proofs. At the end of the second section we include some comments about the range of applicability of our estimates.

LA - eng

KW - Schrödinger representation; eigenvalue estimates; Toeplitz operators; eigenvalue estimates for Toeplitz operators; reproducing formulas; wavelet theory; Calderón-Toeplitz operators

UR - http://eudml.org/doc/210199

ER -

## References

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