Heisenberg uncertainty principles for the generalized wavelet transform.

Abstract

I would like to thank God first of all for everything, because he gave us the courage and desire to continue our studies. I extend my deepest gratitude and heartfelt thanks to my beloved parents, for every moment of hardship, every prayer in the silence of the night, and every word of encouragement.You have always been my source of strength and inspiration, and without your prayers and support, I would not have reached where I am today.May Allah reward you abundantly on my behalf, bless your lives, and keep you as a crown upon my head. I would like to express my deepest and heartfelt gratitude to my supervisor, Dr. Zineb Hafirassou, for her guidance, for her invaluable assistance and inspiring advice. All my appreciation to the members of the jury Dr. Yassamine Chellouf and Dr. Khaoula Rouibah for their intellectual insights, encouragement and help. I would also like to express my sincere gratitude to all members of department of Mathematics and special thanks to our teachers and colleagues.