# Integral formulae for special cases of Taylor's functional calculus

Studia Mathematica (1993)

- Volume: 105, Issue: 1, page 51-68
- ISSN: 0039-3223

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topAlbrecht, D.. "Integral formulae for special cases of Taylor's functional calculus." Studia Mathematica 105.1 (1993): 51-68. <http://eudml.org/doc/215983>.

@article{Albrecht1993,

abstract = {In this paper integral formulae, based on Taylor's functional calculus for several operators, are found. Special cases of these formulae include those of Vasilescu and Janas, and an integral formula for commuting operators with real spectra.},

author = {Albrecht, D.},

journal = {Studia Mathematica},

keywords = {Taylor's functional calculus for several operators},

language = {eng},

number = {1},

pages = {51-68},

title = {Integral formulae for special cases of Taylor's functional calculus},

url = {http://eudml.org/doc/215983},

volume = {105},

year = {1993},

}

TY - JOUR

AU - Albrecht, D.

TI - Integral formulae for special cases of Taylor's functional calculus

JO - Studia Mathematica

PY - 1993

VL - 105

IS - 1

SP - 51

EP - 68

AB - In this paper integral formulae, based on Taylor's functional calculus for several operators, are found. Special cases of these formulae include those of Vasilescu and Janas, and an integral formula for commuting operators with real spectra.

LA - eng

KW - Taylor's functional calculus for several operators

UR - http://eudml.org/doc/215983

ER -

## References

top- [1] D. W. Albrecht, Matrix techniques in the study of complexes, Analysis Paper 79, Monash University, Clayton, Victoria, 1991.
- [2] R. Arens, Analytic-functional calculus in commutative topological algebras, Pacific J. Math. 11 (1961), 405-429. Zbl0109.34203
- [3] I. Colojoară and C. Foiaş, Theory of Generalized Spectral Operators, Math. Appl. 9, Gordon and Breach, New York 1968. Zbl0189.44201
- [4] G. M. Henkin, Integral representations of functions holomorphic in strictly pseudoconvex domains and some applications, Mat. Sb. 78 (1969), 611-632 (in Russian).
- [5] J. Janas, On integral formulas and their applications in functional calculus, J. Math. Anal. Appl. 114 (1986), 328-339. Zbl0604.47009
- [6] S. Lang, Algebra, Addison-Wesley, 1965.
- [7] A. McIntosh, A. Pryde and W. Ricker, Comparison of joint spectra for certain classes of commuting operators, Macquarie Math. Reports (1986), 86-0069.
- [8] R. M. Range, Holomorphic Functions and Integral Representations in Several Complex Variables, Springer, New York 1986. Zbl0591.32002
- [9] J. L. Taylor, A joint spectrum for several commuting operators, J. Funct. Anal. 6 (1970), 172-191. Zbl0233.47024
- [10] J. L. Taylor, Analytic-functional calculus for several commuting operators, Acta Math. 125 (1970), 1-38. Zbl0233.47025
- [11] F. H. Vasilescu, A Martinelli type formula for the analytic functional calculus, Rev. Roumaine Math. Pures Appl. 23 (10) (1978), 1587-1605. Zbl0402.47011
- [12] V. S. Vladimirov, Methods of the Theory of Functions of Several Complex Variables, Nauka, Moscow 1964; English transl.: M.I.T. Press, Cambridge, Mass., 1966.

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