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RESEARCH PRODUCT

Mixed Circular Convolutions and Zak Transforms

Pekka NeittaanmäkiAmir AverbuchValery A. Zheludev

subject

Periodic functionsymbols.namesakePolynomialPoisson summation formulaMathematical analysissymbolsFourier seriesCharacteristic sequenceCircular convolutionMathematics

description

In this chapter the notion of mixed circular convolution is introduced. The polynomial and discrete periodic splines defined on uniform grids are special cases of such convolutions. The so-called Zak transforms provide tools to handle mixed circular convolutions

https://doi.org/10.1007/978-94-017-8926-4_3