Geodesic
On a method of constructing conditional bases of exponentials in some Banach spaces of analytic functions
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 170-199

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In this note a method of constructing conditional exponential bases in some Banach spaces of analytic functions is presented. The method of constructing basic families due to A. Figà-Talamanca is generalized. Concrete applications and examples of conditional basic families in the space of multipliers of power series with the sequence of Taylor coefficients from $l^p$, in the space of multipliers of Cauchy type integrals, and in other spaces are given. 
@article{ZNSL_1997_247_a11,
     author = {A. N. Petrov},
     title = {On a method of constructing conditional bases of exponentials in some {Banach} spaces of analytic functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {170--199},
     publisher = {mathdoc},
     volume = {247},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a11/}
}
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A. N. Petrov. On a method of constructing conditional bases of exponentials in some Banach spaces of analytic functions. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 170-199. http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a11/