Fourier series have long served as a cornerstone for representing periodic functions through harmonic components. In higher dimensions, these tools become indispensable for analysing complex systems, ...

AT the thirty-second session of the Indian Science Congress, held at Nagpur in 1945, Dr. B. N. Prasad, president of the Section of Mathematics and Statistics, delivered an address on the summability ...

Discover how Fourier Analysis breaks down complex time series data into simpler components to identify trends and patterns, despite its limitations in stock forecasting.

It is shown that partial sums of Walsh-Kaczmarz-Fourier series of functions in the Orlicz class L(log+ L)2 converge a.e. The proof utilizes an estimate of P. Sjölin on the partial sums of the usual ...

Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about Joseph Fourier, the French mathematician with an interest in heat propagation ...