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Everything about Integral transform

Mapping involving integration between function spaces

In mathematics, an integral transform is a type of transformation that maps a function from its original function space into another function space via integration, where some of the properties of the original function might be more easily characterized and manipulated than in the original function space. The transformed function can generally be mapped back to the original function space using the inverse transform. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Integral transformA 5-minute orientation
  2. Skim a recent paper: Short-term offshore wind power forecasting - A hybrid model based on Discrete Wavelet Transform (DWT), Seasonal Autoregressive Integrated Moving Average (SARIMA), and deep-learning-based Long Short-Term Memory (LSTM)Influential work since 2022
  3. Pick up a classic book: Pragmatic CircuitsThe most-reprinted book on the subject
  4. Read the landmark paper: On a Hilbert space of analytic functions and an associated integral transform part ICited 1,467 times
  5. Go sideways: Fourier transformA closely related topic
  6. Go sideways: Weierstrass transformA closely related topic

📖 Definitions

Noun Any transform of the form:

🗂️ The subject at a glance

  1. General form
  2. Motivation
  3. History
  4. Usage example
  5. Table of transforms
  6. Different domains
  7. General theory

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics