Papulis, Athanasios

Papulis was born in the Greek capital, the city of Athens , in 1921 and graduated from the Athens Polytechnic University with a degree in electrical engineering. He continued his studies in the USA, graduating from the Mathematics Department of the University of Pennsylvania , where in 1950 he received the title of Doctor ^[1] . Papulis taught at the Brooklyn Polytechnic Institute (today the New York University Polytechnic Institute ) since 1952 ^[2] He received the title of Honorary Professor at Thessaloniki University of Aristotle ^[3] . Papulis died in New York in 2002.

Papulis has contributed to such scientific fields as Signal Processing , Information Theory , and Signal Processing and General Systems Theory . He has written over 150 scientific papers and 9 books. His classic book, Probabilities, Random Variables, and Stochastic Processes ^{[4] is} used as a textbook in many universities around the world.

Two classic texts to help practitioners [in engineering] were [first] published in 1965 ... [One was] Athanasios Papoulis' Probabilities, Random Variables and Stochastic Processes ... These books popularized pedagogy that balanced between rigor and intuition ^{[ 5]}

Keeping a distance from complete mathematical rigor, while emphasizing the physical and engineering interpretations of Probability , Papulis’s book gained widespread popularity.

Athanasios Papoulis specialized in the field of engineering mathematics, his work covered probability, statistics, and evaluation in the application of these areas in modern engineering problems. Papulis also studied and developed such subjects (subjects) as stochastic modeling, standard deviation , likelihood tests, maximum entropy methods, Monte Carlo method , diffraction and estimation, counting theorem, deterministic signals in noise, physical optics , Wiener estimation and Kalman filter . His research activities have been awarded with many awards, including the James Mulligan Education Medal IEEE ( Institute of Electrical and Electronics Engineers ), the Humboldt Prize and 3 honorary degrees from European universities.

• A generalization of Papulis on the Kotelnikov Theorem ^[6] unifies many variations of the Kotelnikov Theorem (in the English literature - the Nyquist – Shannon theorem , the counting theorem ) into the theorem ^{[7] [8]}
• The "eloquent proof of Papulis" ^{[9] of the} usual Kotelnikov Theorem ^[10] requires only two equations.

• The Papoulis-Gerchberg algorithm ^{[11] [12] [13]} , which has found wide application in the processing of signals and images ^{[14] [15]} .

In Russian-language literature it is known as the Gershberg-Papulis algorithm ^{[16] [17]} .

Charles M. Rader, his former student and now senior fellow at the Lincoln Laboratory at MIT ( Massachusetts Institute of Technology ), says: "Professor Papoulis was a dynamo man." “He had a wonderful way of bringing mathematics to life, either through a geometrical diagram in a real life situation, or outrageously stating that one should know Greek mathematicians from the first millennium.” His former colleague, Nobel Laureate (1992) Marcus, Rudolph Arthur called Papulis “a friend for life. "I enjoyed his thorough and well-built logic in our discussions for many years, the logic of which he came to the essence of any problem."

Although Papulis is best known for his scientific work and intellect, he also loved the arts, especially music and theater. His daughter Irina says: “My father often said that if he had a different career, it would be an actor’s career” and “He was proud when people said that his lectures were performances.” Papulis’s double love for art education influenced his five children: Irina became a professor at Trinity College ( Trinity College (Connecticut) ); Elena is a kindergarten teacher in California; James is a composer in New York; Anna - dancing in Slovenia; and Maria the violinist in Montana ^[18] .

• The Fourier Integral and its Applications by Papoulis, Athanasios, McGraw-Hill Companies (June 1, 1962), ISBN 0-07-048447-3 .
• Probability, Random Variables, and Stochastic Processes by Papoulis, Athanasios 1965. McGraw-Hill Kogakusha, Tokyo, 9th edition, ISBN 0-07-119981-0 .
• Signal Analysis by Athanasios Papoulis Publisher: McGraw-Hill Companies (May 1977) ISBN 0-07-048460-0 ISBN 978-0070484603
• Systems and Transforms With Applications in Optics by Athanasios Papoulis Publisher: Krieger Pub Co (June 1981) ISBN 0-89874-358-3 ISBN 978-0898743586

• The Athanasios Papoulis Award, one of the IEEE LI Section Awards