
معرفی
Dr. Daniel Alpay is a Professor and holder of the Foster G. and Mary McGaw Professorship in Mathematical Sciences at Chapman University. He is affiliated with both Schmid College of Science and Technology and Fowler School of Engineering, contributing to mathematical research and its applications in electrical engineering. His expertise spans Schur Analysis, Slice-Hyperholomorphic Functions, Signal Processing, Linear Systems, Wavelet Filters, and White Noise Space.
Dr. Alpay earned his PhD and MSc in Theoretical Mathematics from the Weizmann Institute of Science (Israel) under Prof. Harry Dym (1986, 1980-1986) and an Electrical Engineering degree from École Nationale Supérieure des Télécommunications (France, 1975-1978). His research focuses on infinite-dimensional analysis, hypercomplex structures, and interdisciplinary applications in signal processing and electrical engineering.
His recent publications (2024) demonstrate a strong emphasis on Schur Analysis, hyperholomorphic functions, and their applications in stochastic processes, interpolation theory, and superoscillations. These works bridge pure mathematics with engineering, particularly in wavelet filters and linear systems.
Dr. Alpay serves as Editor-in-Chief for the journal Complex Analysis and Operator Theory, reflecting his leadership in advancing mathematical research. His work continues to explore connections between abstract mathematical theories and practical engineering problems.
حوزههای پژوهشی




