Interpolation and Sampling with Exponential Splines of Real Order
Interpolation and Sampling with Exponential Splines of Real Order
Abstract The existence of fundamental cardinal exponential B-splines of positive real order $$\sigma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>σ</mml:mi> </mml:math> is established subject to two conditions on $$\sigma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>σ</mml:mi> </mml:math> and their construction is implemented. A sampling result for these fundamental cardinal exponential B-splines is also presented.